Existence results for BVP of a class of Hilfer fractional differential equations

被引：14
|
作者：
Gao, Zhuoyan [1 ]
Yu, Xiulan [1 ]
机构：
[1] Shanxi Univ Finance & Econ, Coll Appl Math, Taiyuan 030031, Shanxi, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2018年 / 56卷 / 1-2期
关键词：
Initial value problem; Differential equations; Hilfer fractional derivative; Existence; EVOLUTION;
D O I：
10.1007/s12190-016-1070-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the existence and uniqueness of solutions to the nonlocal boundary value problem for semi-linear differential equations involving Hilfer fractional derivative. With the help of properties of Hilfer fractional calculus, Mittag-Leffler functions, and fixed point methods, we derive existence and uniqueness results. Finally, examples are given to illustrate our theoretical results.
引用
收藏
页码：217 / 233
页数：17
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