Solving Fuzzy Fractional Biological Population Model using Shehu Adomian Decomposition Method

S Luvis Savla; R Gethsi Sharmila

doi:10.17485/IJST/v16iSP3.icrtam151

Article

Solving Fuzzy Fractional Biological Population Model using Shehu Adomian Decomposition Method

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16iSP3.icrtam151

Year: 2023, Volume: 16, Issue: Special Issue 3, Pages: 44-54

Original Article

Solving Fuzzy Fractional Biological Population Model using Shehu Adomian Decomposition Method

S Luvis Savla¹, R Gethsi Sharmila^2*

¹Research Scholar, PG & Research Department of Mathematics, Bishop Heber College, (Affiliated to Bharathidasan University), Tiruchirappalli-17, Tamil Nadu, India
²Associate Professor, PG & Research Department of Mathematics, Bishop Heber College, (Affiliated to Bharathidasan University), Tiruchirappalli-17, Tamil Nadu, India

*Corresponding Author
Email: [email protected]

Received Date:05 February 2023, Accepted Date:11 August 2023, Published Date:04 December 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: In applied sciences and engineering, fuzzy fractional differential equations (FFDEs) are a crucial topic. The main objective of this study is to find the exact solution of the nonlinear Fuzzy Fractional Biological Population Model (FFBPM). In the Caputo concept, fractional derivatives are regarded. Methods: For nonlinear problems, the Shehu transform is difficult to exist. So, the Shehu transform is combined with the Adomian decomposition method is called the Shehu Adomian Decomposition Method (SHADM) and has been proposed to solve the FFBPM. Findings: The main favor of this method is rapidly converging to the exact solution for nonlinear FFDEs. The theoretical proof of convergence for the SHADM and the uniqueness of the solution is given. Novelty: Adomian polynomials are used for nonlinear terms. Figures and numerical examples demonstrate the expertise of the suggested approach. This method is applied for both linear and nonlinear ordinary and partial FFDEs. The proposed approach is rapid, exact, and simple to apply and produce excellent outcomes.

Keywords: Caputo fractional derivative, Shehu transform, triangular fuzzy number, Fuzzy Fractional Biological Population Model, Shehu Adomian decomposition method

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Copyright

© 2023 Savla & Sharmila. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)