Oscillatory behavior of solution for fractional order fuzzy neutral predator-prey system

Kinda Abuasbeh; Ramsha Shafqat; Azmat Ullah Khan Niazi; Muath Awadalla; Kinda Abuasbeh; Ramsha Shafqat; Azmat Ullah Khan Niazi; Muath Awadalla

doi:10.3934/math.20221117

AIMS Mathematics

2022, Volume 7, Issue 11: 20383-20400. doi: 10.3934/math.20221117

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Research article

Oscillatory behavior of solution for fractional order fuzzy neutral predator-prey system

1.
Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf, Al Ahsa, 31982, Saudi Arabia
2.
Department of Mathematics and Statistics, The University of Lahore, Sargodha 40100, Pakistan

Received: 08 July 2022 Revised: 24 August 2022 Accepted: 06 September 2022 Published: 19 September 2022
MSC : 34A07, 34A08, 60G22

The goal of this study is to see if there is a solution for the fuzzy delay predator-prey system (FDPPS) with Caputo derivative. To begin, we use Schaefer's fixed point theorem to obtain results for the existence theorem of at least one solution in a Caputo FDPPS where the initial condition is also represented by a fuzzy number on fuzzy number space. We also determine the necessary and sufficient conditions of solutions for the system. Several examples are also presented to explain the oscillatory property and the existence of a solution.
- fuzzy variable,
- level-wise continuous function,
- fuzzy solution,
- fuzzy delay predator-prey system,
- oscillation solution
Citation: Kinda Abuasbeh, Ramsha Shafqat, Azmat Ullah Khan Niazi, Muath Awadalla. Oscillatory behavior of solution for fractional order fuzzy neutral predator-prey system[J]. AIMS Mathematics, 2022, 7(11): 20383-20400. doi: 10.3934/math.20221117

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Abstract

The goal of this study is to see if there is a solution for the fuzzy delay predator-prey system (FDPPS) with Caputo derivative. To begin, we use Schaefer's fixed point theorem to obtain results for the existence theorem of at least one solution in a Caputo FDPPS where the initial condition is also represented by a fuzzy number on fuzzy number space. We also determine the necessary and sufficient conditions of solutions for the system. Several examples are also presented to explain the oscillatory property and the existence of a solution.

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