Solving a fractional differential equation via θ-contractions in ℜ-complete metric spaces

Autor: Khalil Javed, Muhammad Arshad, Amani S. Baazeem, Nabil Mlaiki
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 9, Pp 16869-16888 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022926?viewType=HTML
Popis: In this manuscript, we introduce the notion of ℜα-θ-contractions and prove some fixed-point theorems in the sense of ℜ-complete metric spaces. These results generalize existing ones in the literature. Also, we provide some illustrative non-trivial examples and applications to a non-linear fractional differential equation.
Databáze: Directory of Open Access Journals