Attractivity for differential equations of fractional order and ψ-Hilfer type-Reference-Cited by-同舟云学术

Attractivity for differential equations of fractional order and ψ-Hilfer type

Published:2020-08-01 Issue:4 Volume:23 Page:1188-1207
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Sousa J. Vanterler da C.¹,Benchohra Mouffak²,N’Guérékata Gaston M.³

Affiliation:

1. Department of Applied Mathematics , Imecc-State University of Campinas , 13083-859 , Campinas , SP , Brazil

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

3. NEERLab, Department of Mathematics , Morgan State University , Baltimore , MD 21251 , USA

Abstract

Abstract This paper investigates the overall solution attractivity of the fractional differential equation involving the ψ-Hilfer fractional derivative and using the Krasnoselskii’s fixed point theorem. We highlight some particular cases of the results presented here, especially involving the Riemann-Liouville, thus illustrating the broad class of fractional derivatives to which these results can be applied.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2020-0060/pdf

Reference42 articles.

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