On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives 被引量：2

On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives

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摘要 Local and global existence and uniqueness theorems for a functional delay fractional differential equation with bounded delay are investigated. The continuity with respect to the initial function is proved under Lipschitz and the continuity kind conditions are analyzed. Local and global existence and uniqueness theorems for a functional delay fractional differential equation with bounded delay are investigated. The continuity with respect to the initial function is proved under Lipschitz and the continuity kind conditions are analyzed.

作者 Thabet Abdeljawad MARAABA Fahd JARAD Dumitru BALEANU

机构地区 Department of Mathematics and Computer Sciences Department of Mathematics and Computer Sciences

出处《Science China Mathematics》 SCIE 2008年第10期1775-1786,共12页 中国科学：数学（英文版）

基金 the Scientific and Technical Research Council of Turkey.

关键词 fractional Caputo derivative C r -condition DELAY LIPSCHITZ 26A33 fractional Caputo derivative C_r-condition delay Lipschitz

分类号 O175 [理学—基础数学]

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参考文献24

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引证文献2

1Xiaogang Liu.EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A CLASS OF NONLINEAR FRACTIONAL ORDER DIFFERENTIAL EQUATIONS WITH DELAY[J].Annals of Differential Equations,2014,30(2):157-165.
2刘可为,蒋威.分数阶时滞系统的通解（英文）[J].应用数学,2014,27(4):844-850. 被引量：1

二级引证文献1

1鲍志超,牛江川,申永军,杨绍普.一类含分数阶微积分时滞微分方程的解的指数估计[J].石家庄铁道大学学报（自然科学版）,2020,33(1):68-73. 被引量：1

1Xiaofei Wu,Xidong Sun(Shandong Institute of Business and Technology,Yantai 264005,Shandong).EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO NONLINEAR DELAY FRACTIONAL DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2011,27(1):54-61. 被引量：3
2ZHOU XiaoJun,XU ChuanJu.Well-posedness of a kind of nonlinear coupled system of fractional differential equations[J].Science China Mathematics,2016,59(6):1209-1220.
3Xiping Liu Guiyun Wu.Existence of positive solutions for integral boundary value problem of fractional differential equations[J].上海师范大学学报（自然科学版）,2014,43(5):496-505. 被引量：4
4LIN Qian1,2 1School of Mathematics, Shandong University, Jinan 250100, China,2 Laboratoire de Mathématiques, CNRS UMR 6205, Université de Bretagne Occidentale, 6, avenue Victor Le Gorgeu, CS 93837, 29238 Brest cedex 3, France.The Tychonoff uniqueness theorem for the G-heat equation[J].Science China Mathematics,2011,54(3):463-468. 被引量：1
5WHITMAN Phillip,YU Pin.A Uniqueness Theorem for Linear Wave Equations[J].Journal of Partial Differential Equations,2013,26(4):289-299.
6WANGJian-ping.Uniqueness Problems for Meromorphic Functions that Share Three Values[J].Chinese Quarterly Journal of Mathematics,2005,20(1):42-46. 被引量：1
7Melike Kaplan,Arzu Akbulut,Ahmet Bekir.Solving Space-Time Fractional Differential Equations by Using Modified Simple Equation Method[J].Communications in Theoretical Physics,2016,65(5):563-568. 被引量：4
8WANG Yu-ping.A uniqueness theorem for indefinite Sturm-Liouville operators[J].Applied Mathematics(A Journal of Chinese Universities),2012,27(3):345-352.
9Zhou Fujun,Cui Shangbin.LOCAL AND GLOBAL EXISTENCE OF SOLUTIONS OF THE GINZBURG-LANDAU TYPE EQUATIONS[J].Journal of Partial Differential Equations,2007,20(3):220-246.
10ZHANG Xiao-mei,SUN Dao-chun.Uniqueness Theorem of Algebroidal Function in the Unit Disc[J].Chinese Quarterly Journal of Mathematics,2012,27(3):357-363.

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2008年第10期

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On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives 被引量：2

参考文献24

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