Fixed point results with applications to nonlinear fractional differential equations-Reference-Cited by-同舟云学术

Fixed point results with applications to nonlinear fractional differential equations

Published:2023 Issue:8 Volume:8 Page:19743-19756
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Al-Mezel Saleh Abdullah¹²,Ahmad Jamshaid²

Affiliation:

1. Industrial Area, Majmaah University, Al Majma'ah 15341, Saudi Arabia

2. Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia

Abstract

<abstract><p>The aim of this paper is to define a Berinde type ($ \rho $, $ \mu $)-$ \vartheta $ contraction and establish some fixed point results for self mappings in the setting of complete metric spaces. We derive new fixed point results, which extend and improve some results in the literature. We also supply a non trivial example to support the obtained results. Finally, we investigate the existence of solutions for the nonlinear fractional differential equation.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference22 articles.

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