Work

Existence and Compactness of the Solution Set for a Coupled Caputo Fractional System with ϕ-Laplacian Operators and Nonlocal Boundary Conditions

Year: 2026

Type: article

Abstract: In this paper, we investigate a class of coupled fractional differential systems involving Caputo derivatives and nonlinear ϕ-Laplacian operators subject to nonlocal boundary conditions. By transforming the problem into an equivalent integral system via appropriate Green’s functions, the existence of solutions is studied within a generalized Banach space framework. Using a Leray–Schauder type fixed point theorem and suitable growth conditions on the nonlinear terms, we establish the existence of at least one bounded solution. Furthermore, we prove that the solution set is compact. An illustrative example involving the p-Laplacian operator is provided to demonstrate the applicability of the obtained theoretical results.

Source: Mathematics

DOI: 10.3390/math14071112

Authors: Samia Youcefi, Sandra Pinelas, Osama Oqilat, Mohammed Said Souid, M’hamed Bensaid

Institutions: École Supérieure en Informatique de Sidi Bel Abbes, Portuguese Military Academy, University of Aveiro, Al-Ahliyya Amman University, Université IBN Khaldoun Tiaret, Saveetha University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W7140886230

FWCI: 59.88

Cites: 18

Cited by: 5

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