Existence results for nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with three-point boundary conditions in Banach spaces-Reference-Cited by-同舟云学术

Existence results for nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with three-point boundary conditions in Banach spaces

Published:2022 Issue:14 Volume:36 Page:4717-4727
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Lachouri Adel¹,Ardjouni Abdelouaheb²,Djoudi Ahcene¹

Affiliation:

1. Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics, University of Annaba, Annaba, Algeria

2. Department of Mathematics and Informatics, University of Souk Ahras, Souk Ahras, Algeria

Abstract

In this paper, we study the existence of solutions for nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with three-point boundary conditions by using measure of noncompactness combined with fixed point theorem of M?nch. An example illustrating the effectiveness of the theoretical results is presented.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference40 articles.

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