Novel Evaluation of Fuzzy Fractional Biological Population Model

Author:

Alyusof Rabab1,Alyusof Shams2ORCID,Iqbal Naveed3ORCID,Samura Sallieu Kabay4ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, King Saud University, Riyadh, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Imam Muhammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia

3. Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

4. Department of Mathematics and Statistics, Fourah Bay College, University of Sierra Leone, Sierra Leone

Abstract

This article discusses an iterative transformation method via fuzziness that mixtures the Laplace transform with the iterative iterative method. Using Caputo derivative operator, the proposed technique demonstrates the inherent reliability of fractional fuzzy biological population equations with initial fuzzy conditions. The obtained results to the fuzzy fractional biological equations are more general and apply to a broad variety of problems. A parametric description of the solutions is obtained by translating the fuzzy fractional differential equation into an equivalent system of corresponding fractional differential equations. The proposed method is numerically tested against crisp solutions and those produced by other methods, demonstrating that it is a convenient and remarkably accurate way to solve a tool for solving a wide variety of physics and engineering problems.

Publisher

Hindawi Limited

Subject

Analysis

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