Work

Existence of solutions to a fractional differential equation involving the Caputo q-derivative with boundary conditions in Banach spaces

Year: 2025

Type: article

Abstract: The generalization of boundary value problems always covers a wide range of equations. Our choice in this research is the generalization of Caputo-type fractional discrete differential equations that include two or more fractional q-integrals. We analyze the existence and uniqueness of solutions to the multi-point nonlinear BVP base on some fixed point theorems, including fixed point theorem of Banach, Leray-nonlinear Schauder’s alternative, and Leray-degree Schauder’s theory. Finally, several examples are presented to demonstrate accuracy of our results. (2010) Mathematics Subject Classifications: 26A33, 34A08, 34B15.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03302-w

Authors: Houari Bouzid, Benali Abdelkader, Louiza Tabharit, Mohammad Esmael Samei

Institutions: Hassiba Benbouali University of Chlef, Université de Mostaganem, Bu-Ali Sina University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W4409970176

FWCI: 9.617

Cites: 32

Cited by: 5

Related to: 10