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:
(This article belongs to this Special Issue: Computational Aspects of Nonlinear Operator and Fixed Point Theory with Applications)
Computer Modeling in Engineering & Sciences 2023, 137(2), 1937-1956. https://doi.org/10.32604/cmes.2023.028239
Received 06 December 2022; Accepted 30 January 2023; Issue published 26 June 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
Cite This Article
Noorwali, M., Shagari, M. S. (2023). On Fractional Differential Inclusion for an Epidemic Model via L-Fuzzy Fixed Point Results.
CMES-Computer Modeling in Engineering & Sciences, 137(2), 1937–1956.