Work

On Hilfer–Hadamard Tripled System with Symmetric Nonlocal Riemann–Liouville Integral Boundary Conditions

Year: 2025

Type: article

Abstract: The objective of this manuscript is to investigate the existence, uniqueness criteria and Ulam–Hyers stability of solutions to tripled systems of the Hilfer–Hadamard type supplemented with symmetric nonlocal multi-point Riemann–Liouville integral boundary conditions. By converting the considered problem into an equivalent fixed-point problem, the existence and uniqueness are proven by application of the Leray–Schauder nonlinear alternative and Banach’s contraction principle, respectively. In addition, we discuss the Ulam–Hyers stability and generalized Ulam–Hyers stability of the results, and illustrative examples are also presented to demonstrate their correctness and effectiveness.

Source: Symmetry

DOI: 10.3390/sym17111867

Authors: Shorog Aljoudi, Hind Alamri, Alanoud Alotaibi

Institution: Taif University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Taif University