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Existence of Solutions and Ulam Stability of Hilfer-hadamard Sequential Fractional Differential Equations With Multi-point Fractional Integral Boundary Value Problem

Year: 2025

Type: article

Abstract: In this paper, we study the existence and uniqueness of solutions for the boundary value problem of Hilfer-Hadamard sequential fractional differential equations via fixed point theorems. The existence of a solution is proved by the Krasnoselskii fixed point theorem, the Leray-Schauder alternative, and the Leray-Schauder nonlinear alternative fixed point theorem. Moreover, we prove the uniqueness of the solution using the Banach contraction principle. We also discuss the Ulam-Hyers, Ulam-Hyers-Rassias, generalized Ulam-Hyers and generalized Ulam-Hyers-Rassias stability for the problem. Illustrative examples are also provided.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240290

Authors: Jakgrit Sompong, Ekkarath Thailert, Sotiris K. Ntouyas, Ugyen Samdrup Tshering

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411533717

FWCI: 1.886

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Cited by: 1

Related to: 10