Work

Nonlocal Kernel‐Driven Φ‐Caputo Fractional Integro‐Differential Systems Involving the Generalized Laplace Transform

Year: 2026

Type: article

Abstract: ABSTRACT This study explores the existence and uniqueness of solutions for a fractional integro‐differential equation of order involving a kernel operator. To construct the solution, we utilize the generalized ‐Laplace transform, which provides an explicit representation in terms of Mittag–Leffler functions and ‐convolutions. We establish the existence of solutions using Krasnoselskii's fixed point theorem, while uniqueness is proven through Banach's contraction principle. An illustrative example is included to demonstrate the applicability of our results.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.70554

Authors: Asmaa Baihi, Samira Zerbib, Khalid Hilal, Ahmed Kajouni

Institution: Université Sultan Moulay Slimane

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W7127043972

FWCI:

Cites: 31

Cited by:

Related to: