Existence and stability results for nonlocal initial value problems for differential equations with Hilfer fractional derivative

被引：5
|
作者：
Benchohra, Mouffak [1 ]
Bouriah, Soufyane [1 ,2 ]
Nieto, Juan J. [3 ]
机构：
[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria
[2] Hassiba Benbouali Univ, Dept Math, Fac Exact Sci & Informat, POB 151, Chlef 02000, Algeria
[3] Univ Santiago de Compostela, Dept Anal Matemat, Fac Matemat, Santiago De Compostela, Spain
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2018年 / 63卷 / 04期
关键词：
Hilfer's fractional derivative; Caputo and Riemann-Liouville sense; existence; uniqueness; fixed point; Ulam stability;
D O I：
10.24193/subbmath.2018.4.03
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish sufficient conditions for the existence and stability of solutions for a class of nonlocal initial value problems for differential equations with Hilfer's fractional derivative, The arguments are based upon the Banach contraction principle. Two examples are included to show the applicability of our results.
引用
收藏
页码：447 / 464
页数：18
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