Work

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

Year: 2024

Type: article

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.

Source: Mathematics

DOI: 10.3390/math12182799

Authors: Cemil Tunç, Fahir Talay Akyildiz

Institutions: Van Yüzüncü Yıl Üniversitesi, Imam Mohammad ibn Saud Islamic University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: Deanship of Scientific Research, Imam Mohammed Ibn Saud Islamic University