Work

Integro-Differential Boundary Conditions to the Sequential ψ1-Hilfer and ψ2-Caputo Fractional Differential Equations

Year: 2023

Type: article

Abstract: In this paper, we introduce and study a new class of boundary value problems, consisting of a mixed-type ψ1-Hilfer and ψ2-Caputo fractional order differential equation supplemented with integro-differential nonlocal boundary conditions. The uniqueness of solutions is achieved via the Banach contraction principle, while the existence of results is established by using the Leray–Schauder nonlinear alternative. Numerical examples are constructed illustrating the obtained results.

Source: Mathematics

DOI: 10.3390/math11040867

Authors: Surang Sitho, Sotiris K. Ntouyas, Chayapat Sudprasert, Jessada Tariboon

Institutions: King Mongkut's University of Technology North Bangkok, University of Ioannina

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,336

Funder: King Mongkut's University of Technology North Bangkok