The Traveling Wave Solutions of Space-Time Fractional Partial Differential Equations by Modified Kudryashov Method

In this paper, the modified Kudryashov method is employed to find the traveling wave solutions of two well-known space-time fractional partial differential equations, namely the Zakharov Kuznetshov Benjamin Bona Mahony equation and Kolmogorov Petrovskii Piskunov equation, and as a helping tool, the sense of modified Riemann-Liouville derivative is also used. The propagation properties of obtained solutions are investigated where the graphical representations and justifications of the results are done by mathematical software Maple.

The synergistic effects of green tea polyphenols and antibiotics against potential pathogens

Green tea leaves contain many polyphenolic compounds such as (-)-epicatechin (EC), (-)-epicatechin-3-gallate (ECG), (-)-epigallocatechin (EGC), and (-)epigallocatechin-3-gallate (EGCG). These polyphenol compounds have been implicated to have distinct properties that combat the harmful effects of cell proliferation. They contain certain anti-viral and antibacterial properties that inhibit growth. In this study, 1% green tea and modified lipophilic green tea polyphenols (GTP and LTP) were used in combination with the most commonly prescribed antibiotics to study their effects on gram-positive, gram-negative, and acid-fast bacteria. The results indicated that 1% GTP and 1% LTP provided different synergistic effects on several antibiotics in various bacteria. It was found that 1% GTP works the best synergistically against Enterobacter aerogenes, making the resistant strain susceptible to 8 out of 12 antibiotics used. 1% LTP worked the best on Escherichia coli and was able to convert 7 antibiotic resistant categories to susceptible. In addition, 1% LTP was also able to inhibit the growth of Serratia marcescens synergistically with 3 antibiotics. These results suggest that 1% GTP and 1% LTP provide beneficial effects on selected antibiotics against microbial growth and are able to reverse the antibiotic resistance to susceptible. Green tea polyphenols could serve as natural alternatives to combat against antibiotic resistance pathogens.

Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations

Our purpose of this paper is to apply the improved Kudryashov method for solving various types of nonlinear fractional partial differential equations. As an application, the time-space fractional Korteweg-de Vries-Burger (KdV-Burger) equation is solved using this method and we get some new travelling wave solutions. To acquire our purpose a complex transformation has been also used to reduce nonlinear fractional partial differential equations to nonlinear ordinary differential equations of integer order, in the sense of the Jumarie’s modified Riemann-Liouville derivative. Afterwards, the improved Kudryashov method is implemented and we get our required reliable solutions where the results are justified by mathematical software Maple-13.

Does abnormal lending behavior increase bank riskiness?Evidence from Turkey

Purpose:This study empirically analyzes whether the rapid growth of loans and risktaking behavior during the expansion of loans affected non-performing loans(NPLs)and the solvency of financial institutions in the Turkish banking system.Design/methodology/approach:Using the GMM Generalized Method of Moments,this study used data on Turkish banks from 2011 to 2017 to test two hypotheses on the effects of loan growth on NPLs and solvency.Findings:This study finds significant results for the effect of loan growth on NPLs and solvency.NPLs rose from the previous year’s loan growth,which tended to reduce solvency.Research limitations/implications:Due to selected research methods,the results may lack generality.Therefore,future studies should test the propositions herein further.Practical implications:The results indicate that careful allocation behavior is required when lending.Additionally,these findings may be helpful to financial managers and decision makers.Originality/value:This study confirms the need to determine how to allocate loans during the loan boom periods.

Epigallocatechin Gallate-Stearate Enhances the Efficacy of Antibiotics

Introduction: The rise in antibiotic resistant cases has caused a global concern. Researchers around the world are trying to find a novel alternative to combat this issue. Green tea with its many health benefits, including antibacterial and antiviral activity, has shown to be one of the most promising candidates to be used as an agent to solve this problem. Objective: This study focuses on evaluating the synergistic effects of antibiotics and two green tea polyphenols: epigallocatechin gallate (EGCG), and its modified lipophilic form epigallocatechin gallate stearate (EGCG-S). Methods: In this study, twelve antibiotics and eight bacteria: Gram-positive Staphylococcus aureus (S. aureus), Staphylococcus epidermidis (S. epidermidis) and Bacillus megaterium (B. megaterium);Gram-negative Escherichia coli (E. coli), Pseudomonas aeruginosa (P. aeruginosa), Serratia marcescens (S. marcescens), and Enterobacter aerogenes (E. aerogenes);and acid-fast Mycobacterium smegmatis (M. smegmatis) were used. Antibacterial synergism profiling of EGCG, EGCG-S and antibiotics has been established using a disk diffusion assay. Results: The results revealed that both 1% of EGCG and 1% EGCG-S enhanced the antimicrobial activities on antibiotics in various bacteria. Antimicrobial susceptibility study indicated that EGCG-S was able to enhance some antibiotics from the resistant category to intermediate or susceptible and/or from intermediate category to susceptible. Both EGCG and EGCG-S worked comparably on Gram-positive bacteria;in S. aureus, both compounds enhanced 5 antibiotics (AM10, CF30, C30, S10 and TE30) activities while EGCG-S had higher efficiency. B. megaterium were susceptible to most of the antibiotic treatment, thus the impact of EGCG and EGCG-S was insignificant. EGCG-S worked better than EGCG on Gram-negative bacteria;converted 9 antibiotics susceptibility in E. coli and P. aeruginosa, and 8 antibiotics in E. aerogenes. EGCG and EGCG-S also showed synergism on acid-fast bacteria M. smegmatis with EGCG-S has much higher efficiency than EGCG. Conclusion: The results suggested that EGCG-S might be a promising antibacterial synergistic agent with antibiotics to combat antibiotic-resistant bacteria.