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New Results on the Solvability of Abstract Sequential Caputo Fractional Differential Equations with a Resolvent-Operator Approach and Applications

Authors :
Abdelhamid Mohammed Djaouti
Khellaf Ould Melha
Muhammad Amer Latif
Source :
Mathematics, Vol 12, Iss 8, p 1268 (2024)
Publication Year :
2024
Publisher :
MDPI AG, 2024.

Abstract

This paper aims to establish the existence and uniqueness of mild solutions to abstract sequential fractional differential equations. The approach employed involves the utilization of resolvent operators and the fixed-point theorem. Additionally, we investigate a specific example concerning a partial differential equation incorporating the Caputo fractional derivative.

Details

Language :
English
ISSN :
22277390 and 74357123
Volume :
12
Issue :
8
Database :
Directory of Open Access Journals
Journal :
Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.6316625f292a4b3dbb651a74357123fc
Document Type :
article
Full Text :
https://doi.org/10.3390/math12081268