Work

Existence of Solutions to Fractional Differential Inclusions with Non-Separated and Multipoint Boundary Constraints

Year: 2025

Type: article

Abstract: A novel and generalized class of fractional differential inclusions has been investigated under a combination of nonlocal, non-separated, multipoint, and integral boundary conditions. Fractional derivatives have been employed to capture memory effects and enhance the modeling accuracy of real-world phenomena. Uncertainty has been addressed through the formulation of set-valued differential inclusions. The proposed boundary conditions have been designed to encompass a wide spectrum of both local and nonlocal types previously reported in the literature. The existence of solutions has been established via the Bohnenblust–Karlin fixed-point theorem. The applicability and effectiveness of the main results have been demonstrated through concrete examples.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9090577

Authors: Ahsan Abbas, Akbar Azam, Nayyar Mehmood, Faryad Ali

Institutions: National University of Technology, Grand Asian University, Sialkot, International Islamic University, Islamabad, Imam Mohammad ibn Saud Islamic 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: Al-Imam Muhammad Ibn Saud Islamic University