Solving a fractional differential equation via $ {\theta } $-contractions in ℜ-complete metric spaces-Reference-Cited by-同舟云学术

Solving a fractional differential equation via $ {\theta } $-contractions in ℜ-complete metric spaces

Published:2022 Issue:9 Volume:7 Page:16869-16888
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Javed Khalil¹,Arshad Muhammad¹,Baazeem Amani S.²,Mlaiki Nabil³

Affiliation:

1. Department of Mathematics & Statistics, International Islamic University, H-10 Islamabad 44000, Pakistan

2. Department of Mathematics and Statistics, College of Science, IMSIU (Imam Mohammed Ibn Saud Islamic University), P.O. Box 90950, Riyadh 11623, Saudi Arabia

3. Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia

Abstract

<abstract> <p>In this manuscript, we introduce the notion of ℜ$ \alpha $-$ \theta $-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.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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