On the Study of Semilinear Fractional Differential Equations Involving Atangana-Baleanu-Caputo Derivative

Autor: Khalid Hilal, Ahmed Kajounı, Samira Zerbib
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Universal Journal of Mathematics and Applications, Vol 6, Iss 3, Pp 122-129 (2023)
Druh dokumentu: article
ISSN: 2619-9653
DOI: 10.32323/ujma.1288015
Popis: This work aims to study the existing results of mild solutions for a semi-linear Atangana-Baleanu-Caputo fractional differential equation with order $ 0 < \theta < 1 $ in an arbitrary Banach space. We rely on some arguments to present the mild solution to our problem in terms of an $ \theta $-resolvent family. Then we study the existence of this mild solution by using Krasnoselskii's fixed point theorem. Finally, we give an example to prove our results.
Databáze: Directory of Open Access Journals