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On fractional differential inclusion for an EpidemicModel via L-Fuzzy Fixed Point Results

Computer Modeling in Engineering & Sciences 2023年第11期137卷 1937-1956页

作者： Maha Noorwali Mohammed Shehu Shagari Department of Mathematics King Abdulaziz UniversityJeddahSaudi Arabia Department of Mathematics Faculty of Physical SciencesAhmadu Bello UniversityZariaNigeria

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 discussmore general existence conditions for realizing the solutions of a non-integer order inclusion model for COVID-19.

关键词： Hausdorff metric L-fuzzy set L-fuzzy set-valued map caputo fractional differential inclusion COVID-19

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