Applications to Nonlinear Fractional Differential Equations via Common Fixed Point on ℂ★-Algebra-Valued Bipolar Metric Spaces-Reference-Cited by-同舟云学术

Applications to Nonlinear Fractional Differential Equations via Common Fixed Point on ℂ★-Algebra-Valued Bipolar Metric Spaces

Published:2023-07-10 Issue:7 Volume:7 Page:534
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Mani Gunaseelan¹^ORCID,Gnanaprakasam Arul²^ORCID,Subbarayan Poornavel¹,Chinnachamy Subramanian³^ORCID,George Reny⁴^ORCID,Mitrović Zoran⁵^ORCID

Affiliation:

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

2. Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, India

3. Department of Mathematics, Easwari Engineering College, Ramapuram, Chennai 600089, India

4. Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

5. Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina

Abstract

In the present paper, we prove common fixed point theorems under different contractive mappings on C★-algebra-valued bipolar metric spaces. The results generalize and expand some well-known results from the literature. Examples and applications are given to strengthen our conclusion. Additionally, as an application of our results, we show that some classes of the nonlinear fractional differential equations with the boundary conditions have a unique common solution.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/7/534/pdf

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