Boyd-Wong contractions in F-metric spaces and applications

Ashis Bera; Lakshmi Kanta Dey; Sumit Som; Hiranmoy Garai; Wutiphol Sintunavarat

doi:10.4995/agt.2022.15356

Authors

Ashis Bera National Institute of Technology Durgapur
Lakshmi Kanta Dey National Institute of Technology Durgapur
Sumit Som Adamas University
Hiranmoy Garai National Institute of Technology Durgapur
Wutiphol Sintunavarat Thammasat University Rangsit Center https://orcid.org/0000-0002-0932-1332

DOI:

https://doi.org/10.4995/agt.2022.15356

Keywords:

fractional differential equation, Boyd-Wong fixed point theorem, F-metric space

Abstract

The main aim of this paper is to study the Boyd-Wong type fixed point result in the F-metric context and apply it to obtain some existence and uniqueness criteria of solution(s) to a second order initial value problem and a Caputo fractional differential equation. We substantiate our obtained result by finding a suitable non-trivial example.

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Author Biographies

Ashis Bera, National Institute of Technology Durgapur

Department of Mathematics

Lakshmi Kanta Dey, National Institute of Technology Durgapur

Department of Mathematics

Sumit Som, Adamas University

Department of Mathematics, School of Basic and Applied Sciences

Hiranmoy Garai, National Institute of Technology Durgapur

Department of Mathematics

Wutiphol Sintunavarat, Thammasat University Rangsit Center

Department of Mathematics and Statistics, Faculty of Science and Technology

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