NEUTROSOPHIC CONTROLLED METRIC-LIKE SPACES WITH APPLICATION ON NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION

Authors

  • M. Pandiselvi P.G and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai Aliated to Alagappa University
  • M. Jeyaraman P.G and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai Aliated to Alagappa University
  • Bahaaeldin Abdalla Department of Mathematics and Sciences, Prince Sultan University
  • Kamal Shah Department of Mathematics and Sciences, Prince Sultan University
  • Thabet Abdeljawad Department of Mathematics and Applied Mathematics, School of Science and Technology, Sefako Makgatho Health Sciences University

Abstract

In this study, we propose the concept of a neutrosophic controlled metric-likespaces, which extends classical metric notions to better model uncertainty and indeterminacy. We explore its structural properties and present significant examples that illustrate its theoretical relevance. Building on this framework, we establish new fixed point results forcontraction mappings tailored to the neutrosophic setting. As an application, we investigatea nonlinear fractional differential equation and prove the existence and uniqueness of its solution, thereby reinforcing the practical value of our theoretical developments.

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Published

2025-08-29

Issue

Volume 30, Number 3, September 2025

Section

Articles