Nonlinear Implicit Hadamard's Fractional Differential Equations with Retarded and Advanced Arguments

被引：0

作者：

Benchohra, M. ^{[1
]}

Bouriah, S. ^{[2
]}

Henderson, J. ^{[3
]}

机构：

[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

[2] Hassiba Benbouali Univ, Fac Exact Sci & Informat, Dept Math, POB 151, Chlef 02000, Algeria

[3] Baylor Univ, Dept Math, Waco, TX 76798 USA

来源：

AZERBAIJAN JOURNAL OF MATHEMATICS | 2018年 / 8卷 / 02期

关键词：

Hadamard's fractional derivative; implicit fractional differential equations; fractional integral; existence; retarded arguments; advanced arguments; fixed point;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the existence and uniqueness of solutions for a class of problem for nonlinear implicit fractional differential equations (NIFDE for short) of Hadamard type involving both retarded and advanced arguments. The proofs of our main results are based upon the Banach contraction principle and the Schauder fixed point theorem. We present two examples to show the applicability of our results.

引用

页码：72 / 85

页数：14

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