Caputo-Hadamard fractional differential equations in banach spaces-Reference-Cited by-同舟云学术

Caputo-Hadamard fractional differential equations in banach spaces

Published:2018-08-01 Issue:4 Volume:21 Page:1027-1045
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Abbas Saïd¹,Benchohra Mouffak²,Hamidi Naima²,Henderson Johnny³

Affiliation:

1. Laboratory of Mathematics, Geometry, Analysis , Control and Applications Tahar Moulay University of Saïda P.O. Box 138 , EN-Nasr, 20000 , Saïda , Algeria

2. Laboratory of Mathematics Djillali Liabes University of Sidi Bel-Abbes P.O. Box 89 , Sidi Bel-Abbès , 22000 , Algeria

3. Department of Mathematics , Baylor University Waco , Waco , Texas 76798–7328 , USA

Abstract

Abstract This article deals with some existence results for a class of Caputo–Hadamard fractional differential equations. The results are based on the Mönch’s fixed point theorem associated with the technique of measure of noncompactness. Two illustrative examples are presented.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2018-0056/pdf

Reference24 articles.

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2. S. Abbas, M. Benchohra, J. Graef and J. Henderson, Implicit Fractional Differential and Integral Equations; Existence and Stability. De Gruyter, Berlin, 2018.

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4. S. Abbas, M. Benchohra and G.M. N’Guérékata, Advanced Fractional Differential and Integral Equations. Nova Sci. Publ., New York, 2015.

5. S. Abbas, M. Benchohra and A. Petrusel, Ulam stabilities for the Darboux problem for partial fractional differential inclusions via Picard operators. Electron. J. Qual. Theory Differ. Equ. 1 (2014), 1–13.

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