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

Author:

Abuasbeh Kinda1,Shafqat Ramsha2,Niazi Azmat Ullah Khan2,Awadalla Muath1

Affiliation:

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

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference33 articles.

1. K. S. Miller, B. Ross, An introduction to the fractional calculus and fractional differential equations, Wiley-Interscience, 1993.

2. K. B. Oldham, J. Spanier, The fractional calculus: Theory and applications of differentiation and integration to arbitrary order, Elsevier, 1974.

3. S. Samko, A. A. Kilbas, O. I. Marichev, Fractional integrals and derivatives: Theory and applications, Gordon and Breach Science Publishers, 1993.

4. B. Ahmad, J. J. Nieto, Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions, Comput. Math. Appl., 58 (2009), 1838–1843. https://doi.org/10.1016/j.camwa.2009.07.091

5. B. Ahmad, S. K. Ntouyas, R. P. Agarwal, A. Alsaedi, On fractional differential equations and inclusions with nonlocal and average-valued (integral) boundary conditions, Adv. Differ. Equ., 2016 (2016), 80. https://doi.org/10.1186/s13662-016-0807-5

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