Study of Uniqueness and Ulam-Type Stability of Abstract Hadamard Fractional Differential Equations of Sobolev Type via Resolvent Operators

Study of Uniqueness and Ulam-Type Stability of Abstract Hadamard Fractional Differential Equations of Sobolev Type via Resolvent Operators

This paper focuses on studying the uniqueness of the mild solution for an abstract fractional differential equation. We use Banach’s fixed point theorem to prove this uniqueness. Additionally, we examine the stability properties of the equation using Ulam’s stability. To analyze these properties, we...

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Bibliographic Details
Main Authors: Khellaf Ould Melha, Abdelhamid Mohammed Djaouti, Muhammad Amer Latif, Vaijanath L. Chinchane
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Axioms
Subjects:
Hadamard fractional derivative
Sobolev equation
resolvent operators
Ulam–Hyers–Rassias stability
Online Access:https://www.mdpi.com/2075-1680/13/2/131

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