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Unique Solutions for Caputo Fractional Differential Equations with Several Delays Using Progressive Contractions

Authors :
Cemil Tunç
Fahir Talay Akyildiz
Source :
Mathematics, Vol 12, Iss 18, p 2799 (2024)
Publication Year :
2024
Publisher :
MDPI AG, 2024.

Abstract

We take into account a nonlinear Caputo fractional-order differential equation including several variable delays. We examine whether the solutions to the Caputo fractional-order differential equation taken under consideration, which has numerous variable delays, are unique. In the present study, first, we will apply the method of progressive contractions, which belongs to T.A. Burton, to Caputo fractional-order differential equation, including multiple variable delays, which has not yet appeared in the relevant literature by this time. The significant point of the method of progressive contractions consists of a very flexible idea to discuss the uniqueness of solutions for various mathematical models. Lastly, we provide two examples to demonstrate how this paper’s primary outcome can be applied.

Details

Language :
English
ISSN :
22277390
Volume :
12
Issue :
18
Database :
Directory of Open Access Journals
Journal :
Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.89c10b2de064ae593701016d244c8d6
Document Type :
article
Full Text :
https://doi.org/10.3390/math12182799