Existence and uniqueness for a class of iterative fractional differential equations

被引：10
|
作者：
Ibrahim, Rabha W. [1 ]
Kilicman, Adem [2 ]
Damag, Faten H. [2 ]
机构：
[1] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia
[2] Univ Putra Malaysia, Dept Math, Serdang 43400, Malaysia
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2015年
关键词：
Fractional Derivative; Fixed Point Theorem; Fractional Calculus; Fractional Differential Equation; Caputo Derivative;
D O I：
10.1186/s13662-015-0421-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The presence of a self-mapping increases the difficulty in proving the existence and uniqueness of solutions for general iterative fractional differential equations. In this article, we provide conditions for the existence and uniqueness of solutions for the initial value problem. We also determine the Burton stability of such equations. The arbitrary order case is taken in the sense of Riemann-Liouville fractional operators.
引用
收藏
页码：1 / 13
页数：13
相关论文
共 50 条
  • [41] Existence and uniqueness for a class of mixed type differential equations
    Hou, ZY
    MATHEMATIKA, 1996, 43 (86) : 382 - 392
  • [42] Existence and Uniqueness of Solution for a Class of Stochastic Differential Equations
    Cao, Junfei
    Huang, Zaitang
    Zeng, Caibin
    SCIENTIFIC WORLD JOURNAL, 2013,
  • [43] On the existence of solutions for a class of fractional differential equations
    Wang, JinRong
    Dong, XiWang
    Wei, Wei
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2012, 57 (01): : 15 - 24
  • [44] Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
    Qiu, Meilan
    Mei, Liquan
    Yang, Ganshang
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [45] General uniqueness and monotone iterative technique for fractional differential equations
    Lakshmikantham, V.
    Vatsala, A. S.
    APPLIED MATHEMATICS LETTERS, 2008, 21 (08) : 828 - 834
  • [46] Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
    Meilan Qiu
    Liquan Mei
    Ganshang Yang
    Advances in Difference Equations, 2017
  • [47] Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives
    Abdeljawad, Thabet
    Baleanu, Dumitru
    Jarad, Fahd
    JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (08)
  • [48] Existence and uniqueness of a positive solution to singular fractional differential equations
    Wang, Yongqing
    Liu, Lishan
    Wu, Yonghong
    BOUNDARY VALUE PROBLEMS, 2012,
  • [49] Existence and uniqueness theorems of higher order fractional differential equations
    Adawi A.
    Journal of Applied Sciences, 2010, 10 (18) : 2132 - 2135
  • [50] Existence and uniqueness of fractional functional differential equations with unbounded delay
    School of Mathematics and Computational Science, Xiangtan University, Hunan 411105, China
    Int. J. Dyn. Syst. Differ. Equ., 2008, 4 (239-244):
12345