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Open Access

ARTICLE

On Fractional Differential Inclusion for an Epidemic Model via L-Fuzzy Fixed Point Results

Maha Noorwali1, Mohammed Shehu Shagari2,*
1 Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
2 Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria
* Corresponding Author: Mohammed Shehu Shagari. Email: shagaris@ymail.com
(This article belongs to this Special Issue: Computational Aspects of Nonlinear Operator and Fixed Point Theory with Applications)

Computer Modeling in Engineering & Sciences https://doi.org/10.32604/cmes.2023.028239

Received 06 December 2022; Accepted 30 January 2023; Published online 16 March 2023

Abstract

The real world is filled with uncertainty, vagueness, and imprecision. The concepts we meet in everyday life are vague rather than precise. In real-world situations, if a model requires that conclusions drawn from it have some bearings on reality, then two major problems immediately arise, viz. real situations are not usually crisp and deterministic; complete descriptions of real systems often require more comprehensive data than human beings could recognize simultaneously, process and understand. Conventional mathematical tools which require all inferences to be exact, are not always efficient to handle imprecisions in a wide variety of practical situations. Following the latter development, a lot of attention has been paid to examining novel L-fuzzy analogues of conventional functional equations and their various applications. In this paper, new coincidence point results for single-valued mappings and an L-fuzzy set-valued map in metric spaces are proposed. Regarding novelty and generality, the obtained invariant point notions are compared with some well-known related concepts via non-trivial examples. It is observed that our principal results subsume and refine some important ones in the corresponding domains. As an application, one of our results is utilized to discuss more general existence conditions for realizing the solutions of a non-integer order inclusion model for COVID-19.

Keywords

Hausdorff metric; L-fuzzy set; L-fuzzy set-valued map; Caputo fractional differential inclusion; COVID-19

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