Next Article in Journal
Cost-Sensitive Variable Selection for Multi-Class Imbalanced Datasets Using Bayesian Networks
Previous Article in Journal
Including Jumps in the Stochastic Valuation of Freight Derivatives
Previous Article in Special Issue
A Family of Multiple-Root Finding Iterative Methods Based on Weight Functions
Open AccessArticle

Aboodh Transform Iterative Method for Spatial Diffusion of a Biological Population with Fractional-Order

Department of Mathematics, Eastern Mediterranean University, Via Mersir-10, TR 99628 Famagusta, Turkey
*
Author to whom correspondence should be addressed.
Mathematics 2021, 9(2), 155; https://doi.org/10.3390/math9020155
Received: 13 December 2020 / Revised: 7 January 2021 / Accepted: 10 January 2021 / Published: 13 January 2021
(This article belongs to the Special Issue Iterative Methods for Solving Nonlinear Equations and Systems 2020)
In this paper, a new approximate analytical method is proposed for solving the fractional biological population model, the fractional derivative is described in the Caputo sense. This method is based upon the Aboodh transform method and the new iterative method, the Aboodh transform is a modification of the Laplace transform. Illustrative cases are considered and the comparison between exact solutions and numerical solutions are considered for different values of alpha. Furthermore, the surface plots are provided in order to understand the effect of the fractional order. The advantage of this method is that it is efficient, precise, and easy to implement with less computational effort. View Full-Text
Keywords: biological model; fractional derivative; partial differential equation; Aboodh transform; iterative method biological model; fractional derivative; partial differential equation; Aboodh transform; iterative method
Show Figures

Figure 1

MDPI and ACS Style

Ojo, G.O.; Mahmudov, N.I. Aboodh Transform Iterative Method for Spatial Diffusion of a Biological Population with Fractional-Order. Mathematics 2021, 9, 155. https://doi.org/10.3390/math9020155

AMA Style

Ojo GO, Mahmudov NI. Aboodh Transform Iterative Method for Spatial Diffusion of a Biological Population with Fractional-Order. Mathematics. 2021; 9(2):155. https://doi.org/10.3390/math9020155

Chicago/Turabian Style

Ojo, Gbenga O.; Mahmudov, Nazim I. 2021. "Aboodh Transform Iterative Method for Spatial Diffusion of a Biological Population with Fractional-Order" Mathematics 9, no. 2: 155. https://doi.org/10.3390/math9020155

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop