Work

Study of a Coupled System of Integro-Differential Equations Involving the Generalized Proportional Caputo Derivatives

Year: 2025

Type: article

Abstract: This paper deals with a new coupled system of integro-differential equations involving the generalized proportional Caputo derivatives equipped with nonlocal four-point boundary conditions. Sufficient criteria for the existence and uniqueness of solutions for the studied system are derived based on Krasnoselskii’s and Banach fixed-point theorems, respectively. Applications are constructed with three different cases to illustrate the main results.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9110735

Authors: Shorog Aljoudi, Hind Alamri, Manar Alrubaie

Institution: Taif University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funder: Taif University