The Study of Bicomplex-Valued Controlled Metric Spaces with Applications to Fractional Differential Equations-Reference-Cited by-同舟云学术

The Study of Bicomplex-Valued Controlled Metric Spaces with Applications to Fractional Differential Equations

Published:2023-06-16 Issue:12 Volume:11 Page:2742
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Mani Gunaseelan¹^ORCID,Haque Salma²,Gnanaprakasam Arul Joseph³^ORCID,Ege Ozgur⁴^ORCID,Mlaiki Nabil²^ORCID

Affiliation:

1. Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India

2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

3. Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, Tamil Nadu, India

4. Department of Mathematics, Ege University, Bornova, 35100 Izmir, Turkey

Abstract

In this paper, we introduce the concept of bicomplex-valued controlled metric spaces and prove fixed point theorems. Our results mainly focus on generalizing and expanding some recently established results. Finally, we explain an application of our main result to a certain type of fractional differential equation.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/12/2742/pdf

Reference28 articles.

1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales;Banach;Fund. Math.,1922

2. Bicomplex numbers and their elementary functions;Shapiro;Cubo,2012

3. Aslam, M.S., Bota, M.F., Chowdhury, M.S.R., Guran, L., and Saleem, N. (2021). Common fixed points technique for existence of a solution of Urysohn type integral equations system in complex valued b-metric spaces. Mathematics, 9.

4. Fisher type fixed point results in controlled metric spaces;Lateef;J. Math. Comput. Sci.,2020

5. Fredholm-type integral equation in controlled metric-like spaces;Shatanawi;Adv. Differ. Equ.,2021