Promise and challenges of traditional Chinese medicine,specifically Calculus bovis,in liver cancer treatment

Liver cancer,one of the most common malignancies worldwide,ranks sixth in incidence and third in mortality.Liver cancer treatment options are diverse,inclu-ding surgical resection,liver transplantation,percutaneous ablation,transarterial chemoembolization,radiotherapy,chemotherapy,targeted therapy,immuno-therapy,and traditional Chinese medicine(TCM).A multidisciplinary team(MDT)is essential to customize treatment plans based on tumor staging,liver function,and performance status(PS),ensuring individualized patient care.Treatment decisions require a MDT to tailor strategies based on tumor staging,liver function,and PS,ensuring personalized care.The approval of new first-line and second-line drugs and the establishment of standard treatments based on immune checkpoint inhibitors have significantly expanded treatment options for advanced liver cancer,improving overall prognosis.However,many patients do not respond effectively to these treatments and ultimately succumb to the disease.Modern oncology treatments,while extending patient survival,often come with severe side effects,resistance,and damage to the body,negatively impacting quality of life.Huang et al's study published at World Journal of Gastroenterology rigorously validates the anticancer properties of Calculus bovis,enhancing our understanding of TCM and contributing to new liver cancer treatment strategies.For over 5000 years,TCM has been used in East Asian countries like China to treat various diseases,including liver conditions.Analysis of real-world clinical data suggests that for patients with advanced-stage tumors lacking effective treatments,integrated TCM therapies could provide significant breakthroughs.

Hematochezia due to rectal invasion by an internal iliac artery aneurysm: A case report

BACKGROUND This case report presents the rare occurrence of hematochezia due to an internal iliac artery aneurysm leading to an arterioenteric fistula,expanding the differential diagnosis for gastrointestinal bleeding.It emphasizes the importance of considering vascular origins in cases of atypical hematochezia,particularly in the absence of common gastrointestinal causes,and highlights the role of imaging and multidisciplinary management in diagnosing and treating such unusual presentations.CASE SUMMARY A 75-year-old man with a history of hypertension presented with 12 d of hematochezia,experiencing bloody stools 7-8 times per day.Initial computed tomography(CT)scans revealed an aneurysmal rupture near the right internal iliac artery with suspected hematoma development.Hemoglobin levels progressively decreased to 7 g/dL.Emergency arterial angiography and iliac arterycovered stent placement were performed,followed by balloon angioplasty.Despite initial stabilization,minor rectal bleeding and abdominal pain persisted,leading to further diagnostic colonoscopy.This identified a neoplasm and potential perforation at the proximal rectum.An exploratory laparotomy confirmed the presence of a hematoma and an aneurysm invading the rectal wall,necessitating partial rectal resection,intestinal anastomosis,and ileostomy.Postoperative recovery was successful,with no further bleeding incidents and normal follow-up CT and colonoscopy results after six months.CONCLUSION In cases of unusual gastrointestinal bleeding,it is necessary to consider vascular causes for effective diagnosis and intervention.

Intelligent extraction of road cracks based on vehicle laser point cloud and panoramic sequence images

In light of the limited efficacy of conventional methods for identifying pavement cracks and the absence of comprehensive depth and location data in two-dimensional photographs,this study presents an intelligent strategy for extracting road cracks.This methodology involves the integration of laser point cloud data obtained from a vehicle-mounted system and a panoramic sequence of images.The study employs a vehicle-mounted LiDAR measurement system to acquire laser point cloud and panoramic sequence image data simultaneously.A convolutional neural network is utilized to extract cracks from the panoramic sequence image.The extracted sequence image is then aligned with the laser point cloud,enabling the assignment of RGB information to the vehicle-mounted three dimensional(3D)point cloud and location information to the two dimensional(2D)panoramic image.Additionally,a threshold value is set based on the crack elevation change to extract the aligned roadway point cloud.The three-dimensional data pertaining to the cracks can be acquired.The experimental findings demonstrate that the use of convolutional neural networks has yielded noteworthy outcomes in the extraction of road cracks.The utilization of point cloud and image alignment techniques enables the extraction of precise location data pertaining to road cracks.This approach exhibits superior accuracy when compared to conventional methods.Moreover,it facilitates rapid and accurate identification and localization of road cracks,thereby playing a crucial role in ensuring road maintenance and traffic safety.Consequently,this technique finds extensive application in the domains of intelligent transportation and urbanization development.The technology exhibits significant promise for use in the domains of intelligent transportation and city development.

Nursing Practice for a Case of Acute Left Heart Failure Complicated with Colonic Impaction

Research Background: Heart failure is a type of organic heart disease caused by excessive ventricular load, leading to insufficient myocardial contractility and decreased cardiac output in the body. With the progression of the patient's condition, gastrointestinal dysfunction is frequently complicated. At the same time, the accumulation of feces in the body (colonic impaction) can also increase the burden on the patient’s heart, triggering or exacerbating the occurrence or progression of heart failure. Purpose: this article focuses on the correlation between colonic impaction and heart failure, using the nursing experience of a case of acute left heart failure complicated by colonic impaction as an example, in order to provide clinical evidence for the care of patients with colonic impaction combined with heart failure in the future. Method: By using innovative thinking, the stomach tube is used to replace the enema tube, which is inserted through the anus to reach the end of the colon. By combining acupressure at points such as Zhongwan, Tianzhu, and Guanyuan, it helps promote the elimination of fecal impaction. Conclusion: This case reflects the innovative thinking and adaptability of nurses, providing a new clinical approach for the aggravation of the condition of long-term heart failure patients due to constipation issues. Further research in clinical practice is warranted.

Accumulibacter各进化枝选择性富集及其生态位

废水强化生物除磷(EBPR)系统中,聚磷菌(PAOs)是主要的除磷微生物,其中Accumulibacter是目前公认的主要一类PAOs,含有多个进化枝,且代谢特性存在差异。虽然PAOs尚无法独立培养,但可以在某些条件下选择性富集某一类进化枝的Accumulibacter。对废水EBPR系统内检测到的Accumulibacter具体分枝及其富集的条件进行了总结,并归纳了不同分枝的代谢特性;还分析了Accumulibacter主要分枝与其它菌群在EBPR系统中的相互关系,可为深入了解废水生物除磷微生理生态学、解决同步脱氮除磷污水处理系统的除磷性能恶化、出水水质波动等问题提供支持。

Adipogenesis licensing and execution are disparately linked to cell proliferation

Coordination of cell differentiation and proliferation is a key issue in the development process of multi-cellular organisms and stem cells. Here we provide evidence that the establishment of adipocyte differentiation of 3T3-L1 cells requires two processes： the licensing of an adipogenesis gene-expression program within a particular growth-arrest stage, i.e., the contact-inhibition stage, and then the execution of this program in a cell-cycle-independent manner, by which the licensed progenitors are differentiated into adipocytes in the presence of inducing factors. Our results showed that differentiation licensing of 3T3-L1 cells during the contact-inhibition stage involved epigenetic modifications such as DNA methylation and histone modifications, whereas disturbing these epigenetic modifications by DNA methylation inhibitors or RNAi during the contact-inhibition stage significantly reduced adipogenesis efficiency. More importantly, when these licensed 3T3-L1 cells were re-cultured under non-differentiating conditions or treated only with insulin, this adipogenesis commitment could be maintained from one cell generation to the next, whereby the licensed program could be activated in a cell-cycle-independent manner once these cells were subjected to adipo- genesis-inducing conditions. This result suggests that differentiation licensing and differentiation execution can be uncoupled and disparately linked to cell proliferation. Our findings deliver a new concept that cell-fate decision can be subdivided into at least two stages, licensing and execution, which might have different regulatory relationships with cell proliferation. In addition, this new concept may provide a clue for developing new strategies against obesity.

Annexin A1 Mimetic Peptide AC2-26 Inhibits Sepsis-induced Cardiomyocyte Apoptosis through LXA4/PI3K/AKT Signaling Pathway

The aim of the present study was to explore the effects of annexin A1(ANXA1) mimetic peptide AC2-26 on sepsis-induced cardiomyocyte apoptosis in vivo and in vitro and the underlying mechanisms.In the in vivo study,a rat septic model was established by the cecal ligation and puncture (CLP).The rats were divided into control group,sepsis group and AC2-26 group.The rats in the AC2-26 group were intraperitoneally injected with AC2-26(1mg/kg)2h before CLP,and those in the control group and sepsis group were injected with the same volume of normal saline.The myocardial tissue was examined by hematoxylin and eosin (HE)staining and transmission electron microscopy (TEM).Furthermore,myocardial apoptosis was measured by terminal dUTP nick end-labeling (TUNEL)assay.In the in vitro study,H9C2cells were cultured and divided into three groups:control group,in which cells were only given the basic culture medium;LPS group,in which cells were treated with 10μg/mL LPS;AC2-26 group,in which cells were treated with 0.5μmol/L AC2-262h before 10μg/mL LPS was given.The apoptosis of H9C2 cells was detected by flow cytometry.The levels of lipoxin A4 receptor (LXA4),phosphoinositide3-kinase (PI3K)and protein kinase B (PKB or AKT)protein were measured by Western blotting, the activity of NF-KB and the level of TNF-α by ELISA and the activities of caspase-3/8by using the caspase activity kits.The in vivo study showed that the myocardial pathological damage and myocardial ultrastructural damage were significantly alleviated and the myocardial apoptosis significantly decreased in the AC2-26 group as compared with the sepsis group (P<0.05 for all). The in vivo study revealed that the apoptosis of H9C2 cells was profoundly ameliorated in the AC2-26 group relative to the sepsis group (P<0.05).The protein expression levels of LXA4 were significantly up-regulated,and those of PI3K and AKT prominently down-regulated in the AC2-26 group when compared with those in the LPS group (P<0.05 for all).The activity of NF-κB was greatly inhibited and the level of TNF-α markedly decreased in the AC2-26 group as compared with those in the LPS group (P<0.05 for all).AC2-26 treatment also significantly suppressed the activities of caspase-3/8 in H9C2 cells.In conclusion,these findings suggest that AC2-26 may alleviate the sepsis-induced cardiomyocyte apoptosis in vivo and in vivo through the LXA4/PI3K/ AKT signaling pathway.

A nonlocal strain gradient shell model incorporating surface effects for vibration analysis of functionally graded cylindrical nanoshells

In this pap er, a novel size-dep endent functionally graded (FG) cylindrical shell model is develop ed based on the nonlocal strain gradient theory in conjunction with the Gurtin-Murdoch surface elasticity theory . The new model containing a nonlocal parameter, a material length scale parameter, and several surface elastic constants can capture three typical typ es of size e ects simultaneously , which are the nonlocal stress ef- fect, the strain gradient e ect, and the surface energy e ects. With the help of Hamilton’s principle and rst-order shear deformation theory , the non-classical governing equations and related b oundary conditions are derived. By using the prop osed model, the free vibra- tion problem of FG cylindrical nanoshells with material prop erties varying continuously through the thickness according to a p ower-law distribution is analytically solved, and the closed-form solutions for natural frequencies under various b oundary conditions are obtained. After verifying the reliability of the prop osed model and analytical method by comparing the degenerated results with those available in the literature, the in uences of nonlocal parameter, material length scale parameter, p ower-law index, radius-to-thickness ratio, length-to-radius ratio, and surface e ects on the vibration characteristic of func- tionally graded cylindrical nanoshells are examined in detail.

Therapeutic plasma exchange and a double plasma molecular absorption system in the treatment of thyroid storm with severe liver injury: A case report

BACKGROUND Thyroid storm is resistant to conventional treatments including antithyroid drugs and 131I therapeutic means.Plasma exchange(PE)and double plasma molecular absorption system(DPMAS)can be used as an effective treatment for thyroid storm with severe liver injury.CASE SUMMARY A 52-year-old woman presented with a 10-day history of nausea and vomiting accompanied by yellowing of the skin and mucosa.Further,her free T3(FT3)and FT4 levels were significantly elevated,whereas her thyrotropin level was reduced.After admission,her condition continued to deteriorate,and she presented with continued high fever,vomiting,palpitation,and shortness of breath.After being diagnosed with thyroid storm,the patient was immediately treated with PE combined with DPMAS.Her symptoms improved immediately.After three PE+DPMAS treatments,and she was discharged from the hospital.She was treated with methylprednisolone and methylthimidazole.After six months,the patient spontaneously discontinued methylthimidazole treatment.Her previous clinical manifestations and liver dysfunction reoccurred.The patient was treated with PE+DPMAS two times,and her condition rapidly improved.Liver histopathology indicated immunological liver injury.CONCLUSION Our experience suggests that PE combined with DPMAS can effectively relieve the development of thyroid storm.

Photocatalytic reduction of carbon dioxide to methanol by Cu_2O/SiC nanocrystallite under visible light irradiation

The Cu2O/SiC photocatalyst was obtained from SiC nanoparticles （NPs） modified by Cu2O. Their photocatalytic activities for reducing CO2 to CH3OH under visible light irradiation have been investigated. The results indicated that besides a small quantity of 6H-SiC, SiC NPs mainly consisted of 3C-SiC. The band gaps of SiC and Cu2O were estimated to be about 1.95 and 2.23 eV from UV-Vis spectra, respectively. The Cu2O modification can enhance the photocatalytic performance of SiC NPs, and the largest yields of methanol on SiC, Cu2O and Cu2O/SiC photocatalysts under visible light irradiation were 153, 104 and 191μmol/g, respectively.

基于顶板结构断裂特征的煤矿结构充填关键位置确定方法

充填开采是控制岩层移动并降低地表沉降与环境损害的重要途径,而充填材料来源不足和充填成本高昂现成为制约井工煤矿充填开采推广应用的主要瓶颈。探寻重点区域的低充填率靶向充填新方法与配套技术是充填开采的研究热点之一。为解决上述问题,结合煤矿井下结构充填的学术思想,深入研究了顶板岩层断裂特征,明确了顶板岩层破断块体尺寸及铰接形态,识别了破断铰接块体主沉降区域,判定出结构充填的关键位置。结合关键位置确定方法,提出重点控制基本顶最大挠度位置,即板结构潜在张拉断裂位置(塑性铰发育位置)的“工字型”结构充填新方法。结合新阳矿岩层地质参数,借助FLAC^(3D)数值模拟软件,深入分析了工作面采宽和推进方向上顶板岩层内应力、竖直沉降、塑性区分布规律,揭示了不同方案下充填体稳定性演变特征。结果表明:“工字型”充填在节省充填用量的基础上,较垮落式开采减少初采期直接顶沉降量33.47%,与全部充填仅相差2.3%。同时,关键位置充填体能有效应对顶板回转下沉引起的应力集中,保持自身稳定性,实现对顶板的长效支撑。综合分析得到了新阳矿首采工作面初采期“工字型”结构充填最佳充填方案为中部条带长度72 m,宽度7 m,两侧条带长度18 m,宽度6 m,较全部充填可减少充填材料成本33.86万元。该方案形成的密闭空间为1980 m^(3),占总采出空间的44%,可用来储能或碳封存,助力实现零碳绿色开采,推动双碳目标的实现。

Synthesis of novel silica-supported chelating resin containing tert-butyl 2-picolyamino-N-acetate and its properties for selective adsorption of copper from simulated nickel electrolyte

A novel silica-supported tert-butyl 2-picolyamino-N-acetate chelating resin (Si-AMPY-1) was successfully synthesized and characterized by elemental analysis, FT-IR, SEM and 13 C CP/MAS NMR. The adsorption behaviors of the Si-AMPY-1 resin for Cu(Ⅱ) and Ni(Ⅱ) were studied with batch and column methods. The batch experiments indicated that the Si-AMPY-1 resin adsorbed Ni(Ⅱ) mainly via physisorption, while adsorbed Cu(II) via chemisorption. The column dynamic breakthrough curves revealed thatthe Si-AMPY-1 resin can efficiently separate Cu(Ⅱ) from the simulated nickel electrolyte before the breakthrough point. Moreover, the concentration of Cu(Ⅱ) in the column effluent was decreased to be less than 3 mg/L within the first 43 BV (bed volumes), and the mass ratio of Cu/Ni was 21:1 in the saturated resin, which completely satisfied the industrial requirements of the nickel electrorefining process. Therefore, it was concluded that the Si-AMPY-1 resin can be a promising candidate for the deep removal of Cu(Ⅱ) from the nickel electrolyte.

Indium-gallium-zinc-oxide thin-film transistors:Materials,devices,and applications

Since the invention of amorphous indium-gallium-zinc-oxide(IGZO)based thin-film transistors(TFTs)by Hideo Hosono in 2004,investigations on the topic of IGZO TFTs have been rapidly expanded thanks to their high electrical performance,large-area uniformity,and low processing temperature.This article reviews the recent progress and major trends in the field of IGZO-based TFTs.After a brief introduction of the history of IGZO and the main advantages of IGZO-based TFTs,an overview of IGZO materials and IGZO-based TFTs is given.In this part,IGZO material electron travelling orbitals and deposition methods are introduced,and the specific device structures and electrical performance are also presented.Afterwards,the recent advances of IGZO-based TFT applications are summarized,including flat panel display drivers,novel sensors,and emerging neuromorphic systems.In particular,the realization of flexible electronic systems is discussed.The last part of this review consists of the conclusions and gives an outlook over the field with a prediction for the future.

Protective effects of sodium butyrate on rotavirus inducing endoplasmic reticulum stress-mediated apoptosis via PERK-eIF2αsignaling pathway in IPEC-J2 cells

Background:Rotavirus(RV)is a major pathogen that causes severe gastroenteritis in infants and young animals.Endoplasmic reticulum(ER)stress and subsequent apoptosis play pivotal role in virus infection.However,the protective mechanisms of intestinal damage caused by RV are poorly defined,especially the molecular pathways related to enterocytes apoptosis.Thus,the aim of this study was to investigate the protective effect and mechanism of sodium butyrate(SB)on RV-induced apoptosis of IPEC-J2 cells.Results:The RV infection led to significant cell apoptosis,increased the expression levels of ER stress(ERS)markers,phosphorylated protein kinase-like ER kinase(PERK),eukaryotic initiation factor 2 alpha(eIF2α),caspase9,and caspase3.Blocking PERK pathway using specific inhibitor GSK subsequently reversed RV-induced cell apoptosis.The SB treatment significantly inhibited RV-induced ERS by decreasing the expression of glucose regulated protein 78(GRP78),PERK,and eIF2α.In addition,SB treatment restrained the ERS-mediated apoptotic pathway,as indicated by downregulation of C/EBP homologous protein(CHOP)mRNA level,as well as decreased cleaved caspase9 and caspase3 protein levels.Furthermore,siRNA-induced GPR109a knockdown significantly suppressed the protective effect of SB on RV-induced cell apoptosis.Conclusions:These results indicate that SB exerts protective effects against RV-induced cell apoptosis through inhibiting ERS mediated apoptosis by regulating PERK-eIF2αsignaling pathway via GPR109a,which provide new ideas for the prevention and control of RV.

Clinicopathologic Characteristics and Prognosis Analysis of Marjolin's Ulcer in 40 Cases

Marjolin's ulcer (MU)is a rare but aggressive epidermoid carcinoma observed in scars or wounds.This article provides comprehensive characteristics and prognostic details of MU. Clinical data of 40patients with MU between January 2010 and December 2017 were analyzed retrospectively.Squamous cell carcinoma was the most common pathological type (35/40,87.5%). Extended resection was performed to treat all cases with skin grafting or flap grafting.Follow-up duration ranged from 6 to 96 months (median,52 months)and recurrence was noted in 9 cases.The 1-,3-and 5-year recurrence-free survival (RFS)rates were 87.2%,87.2%,83.2%respectively and the recurrence rate was 22.5%.Univariate analysis revealed that cause of scars (P=0.044),lesion appearance (P=0.036),ultraviolet radiation exposure (P=0.000),depth (P=0.001)and histological grade (P=0.027)had a statistically significant correlation with prognosis of MU.Multivariate analysis revealed that depth (P=0.034,RR=2,681,95%CI:1.077-6.674)and histological grade (P=0.008,RR=2.820,95%CI:1.3156.050)were independent prognostic factors for RFS.In conclusion,superficial infiltration and high-grade differentiation predict more favorable prognosis. Careful follow-up of high-risk groups is strongly recommended to prevent recurrence and improve prognosis.

Interfacial instability of ferrofluid flow under the influence of a vacuum magnetic field

This study is to numerically test the interfacial instability of ferrofluid flow under the presence of a vacuum magnetic field.The ferrofluid parabolized stability equations(PSEs)are derived from the ferrofluid stability equations and the Rosensweig equations,and the characteristic values of the ferrofluid PSEs are given to describe the ellipticity of ferrofluid flow.Three numerical models representing specific cases considering with/without a vacuum magnetic field or viscosity are created to mathematically examine the interfacial instability by the computation of characteristic values.Numerical investigation shows strong dependence of the basic characteristic of ferrofluid Rayleigh-Taylor instability(RTI)on viscosity of ferrofluid and independence of the vacuum magnetic field.For the shock wave striking helium bubble,the magnetic field is not able to trigger the symmetry breaking of bubble but change the speed of the bubble movement.In the process of droplet formation from a submerged orifice,the collision between the droplet and the liquid surface causes symmetry breaking.Both the viscosity and the magnetic field exacerbate symmetry breaking.The computational results agree with the published experimental results.

Establishment of a risk assessment score for deep vein thrombosis after artificial liver support system treatment

BACKGROUND The artificial liver support system(ALSS)is an effective treatment method for liver failure,but it requires deep venous intubation and long-term indwelling catheterization.However,the coagulation mechanism disorder of basic liver failure diseases,and deep venous thrombosis(DVT)often occur.AIM To evaluate the risk factors for DVT following use of an ALSS and establish a risk assessment score.METHODS This study was divided into three stages.In the first stage,the risk factors for DVT were screened and the patient data were collected,including ALSS treatment information;biochemical indices;coagulation and hematology indices;complications;procoagulant use therapy status;and a total of 24 indicators.In the second stage,a risk assessment score for DVT after ALSS treatment was developed.In the third stage,the DVT risk assessment score was validated.RESULTS A total of 232 patients with liver failure treated with ALSS were enrolled in the first stage,including 12 with lower limb DVT.Logistic regression analysis showed that age[odds ratio(OR),1.734;P=0.01],successful catheterization time(OR,1.667;P=0.005),activity status(strict bed rest)(OR,3.049;P=0.005),and D-dimer level(≥500 ng/mL)(OR,5.532;P<0.001)were independent risk factors for DVT.We then established a scoring system for risk factors.In the validation group,a total of 213 patients with liver failure were treated with ALSS,including 14 with lower limb DVT.When the cutoff value of risk assessment was 3,the specificity and sensitivity of the risk assessment score were 88.9%and 85.7%,respectively.CONCLUSION A simple risk assessment scoring system was established for DVT patients with liver failure treated with ALSS and was verified to have good sensitivity and specificity.

Soft-sensing modeling and intelligent optimal control strategy for distillation yield rate of atmospheric distillation oil refining process

It is a challenge to conserve energy for the large-scale petrochemical enterprises due to complex production process and energy diversification. As critical energy consumption equipment of atmospheric distillation oil refining process, the atmospheric distillation column is paid more attention to save energy. In this paper, the optimal problem of energy utilization efficiency of the atmospheric distillation column is solved by defining a new energy efficiency indicator - the distillation yield rate of unit energy consumption from the perspective of material flow and energy flow, and a soft-sensing model for this new energy efficiency indicator with respect to the multiple working conditions and intelligent optimizing control strategy are suggested for both increasing distillation yield and decreasing energy consumption in oil refining process. It is found that the energy utilization efficiency level of the atmospheric distillation column depends closely on the typical working conditions of the oil refining process, which result by changing the outlet temperature, the overhead temperature, and the bottom liquid level of the atmospheric pressure tower. The fuzzy C-means algorithm is used to classify the typical operation conditions of atmospheric distillation in oil refining process. Furthermore, the LSSVM method optimized with the improved particle swarm optimization is used to model the distillation rate of unit energy consumption. Then online optimization of oil refining process is realized by optimizing the outlet temperature, the overhead temperature with IPSO again. Simulation comparative analyses are made by empirical data to verify the effectiveness of the proposed solution.

THE GLOBAL DEFORMATION AND LOCAL DAMAGE ANALYSIS OF FILLED METALLIC CYLINDRICAL SHELLS IMPACTED BY MISSILES

A group of theoretical models has been developed for analyzingtransient dynamic re- sponse to filled metallic cylindrical shellsimpacted by flat-nosed missiles at normal obliquity on the ba- sis ofthe analogy modeling method of beam-on-foundation. It can be used forsolving the global defor- mation and the local failure of cylindricalshells in the impact process. the ballistic limit speed and im- pactresponse history have been calculated by this group of theoreticalmodels, and the inner pressure effect on the ballistic limit speedand some parameters are discussed at length.

Solving the Nonlinear Variable Order Fractional Differential Equations by Using Euler Wavelets

An Euler wavelets method is proposed to solve a class of nonlinear variable order fractional differential equations in this paper.The properties of Euler wavelets and their operational matrix together with a family of piecewise functions are first presented.Then they are utilized to reduce the problem to the solution of a nonlinear system of algebraic equations.And the convergence of the Euler wavelets basis is given.The method is computationally attractive and some numerical examples are provided to illustrate its high accuracy.