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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Principais autores:	Khellaf Ould Melha, Abdelhamid Mohammed Djaouti, Muhammad Amer Latif, Vaijanath L. Chinchane
Formato:	Artigo
Idioma:	Inglês
Publicado em:	MDPI AG 2024-02-01
coleção:	Axioms
Assuntos:	Hadamard fractional derivative Sobolev equation resolvent operators Ulam–Hyers–Rassias stability
Acesso em linha:	https://www.mdpi.com/2075-1680/13/2/131
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