Work

Existence and Hyers-Ulam stability of a coupled fractional differential system involving the $${\rm{\Psi\ }}$$-Caputo derivative and mixed boundary conditions

Year: 2026

Type: article

Abstract: In this study, the Banach contraction principle and Schaefer’s fixed point theorem are employed to establish, respectively, the uniqueness and existence of solutions for a coupled fractional differential system subject to mixed boundary conditions. These conditions consist of Dirichlet conditions and nonlocal fractional integral conditions involving the $$\Psi$$ -Riemann-Liouville fractional integral evaluated at the interior point $$\gamma$$ . Furthermore, the Hyers-Ulam stability of the proposed system is examined. Finally, an illustrative example is provided to support the theoretical findings.

Source: Beni-Suef University Journal of Basic and Applied Sciences

DOI: 10.1186/s43088-026-00828-w

Authors: Ouarda Saifia, Adel Lachouri, Mohammad Esmael Samei

Institutions: Chadli Bendjedid El Tarf University, University of Sciences and Technology Houari Boumediene, Bu-Ali Sina University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7214937679

FWCI:

Cites: 19

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Related to: 10