A Sequential Differential Problem With Caputo and Riemann Liouville Derivatives Involving Convergent Series-Reference-Cited by-同舟云学术

A Sequential Differential Problem With Caputo and Riemann Liouville Derivatives Involving Convergent Series

Published:2023-07-23 Issue:2 Volume:7 Page:319-335
ISSN:2587-2648
Container-title:Advances in the Theory of Nonlinear Analysis and its Application
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Author:

GOUARİ Yazid¹,RAKAH Mahdi²^ORCID,DAHMANİ Zoubir³

Affiliation:

1. Ecole Normale Superieure, University of Mostaganem, Mostaganem, Algeria

2. Alger 1

3. Laboratory of Pure and Applied Mathematics, Faculty of SEI, UMAB, University of Mostaganem, Mostaganem, Algeria

Abstract

In this paper, we study a new nonlinear sequential differential prob- lem with nonlocal integral conditions that involve convergent series. The problem involves two fractional order operators: Riemann-Liouville inte- gral, Caputo and Riemann-Liouville derivatives. We prove an existence and uniqueness result. Also, we prove a new existence result. We end our paper by presenting some illustrative examples.

Publisher

Erdal Karapinar

Subject

Applied Mathematics,Analysis

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