Terminal value problem for neutral fractional functional differential equations with Hilfer-Katugampola fractional derivative-Reference-Cited by-同舟云学术

Terminal value problem for neutral fractional functional differential equations with Hilfer-Katugampola fractional derivative

Published:2023 Issue:21 Volume:37 Page:7131-7147
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Bouriah Soufyane¹,Benchohra Mouffak²,Özyurt Selma³

Affiliation:

1. Department of Mathematics Faculty of Exact Sciences and Informatics Hassiba Benbouali University, Chlef, Algeria

2. Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, Sidi Bel Abbes, Algeria

3. Department of Mathematics, Faculty of Science, Sivas Cumhuriyet University, Sivas, Turkey

Abstract

In this paper, we establish the existence of solutions for a class of nonlinear neutral fractional differential equations with terminal condition and Hilfer-Katugampola fractional derivative. The arguments are based upon the Banach contraction principle, and Krasnoselskii?s fixed point theorem. An example is included to show the applicability of our results.

Publisher

National Library of Serbia

Reference31 articles.

1. S. Abbas and M. Benchohra, Darboux problem for perturbed partial differential equations of fractional order with finite delay, Nonlinear Anal. Hybrid Syst., 3, (2009), 597-604.

2. S. Abbas and M. Benchohra, Partial hyperbolic differential equations with finite delay involving the Caputo fractional derivative, Commun. Math. Anal., 7, (2) (2009), 62-72.

3. S. Abbas, M. Benchohra, J. R. Graef, J. Henderson, Implicit Fractional Differential and Integral Equations: Existence and Stability, vol. 26. Walter de Gruyter GmbH and Co KG, London, (2018).

4. S. Abbas, M. Benchohra and G M. N’Guérékata, Topics in Fractional Differential Equations, Springer-Verlag, New York, (2012).

5. S. Abbas, M. Benchohra and G M. N’Guérékata, Advanced Fractional Differential and Integral Equations, Nova Science Publishers, New York, (2014).