A new representation for the solution of the Richards‐type fractional differential equation-Reference-Cited by-同舟云学术

A new representation for the solution of the Richards‐type fractional differential equation

Published:2024-09-12 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

EL‐Fassi Iz‐iddine¹^ORCID,Nieto Juan J.²^ORCID,Onitsuka Masakazu³^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Sciences and Techniques S. M. Ben Abdellah University Fez Morocco

2. CITMAga, and Departamento de Estatística, Análise Matemática e Optimización Universidade de Santiago de Compostela Santiago de Compostela Spain

3. Department of Applied Mathematics Okayama University of Science Okayama Japan

Abstract

Richards in [35] proposed a modification of the logistic model to model growth of biological populations. In this paper, we give a new representation (or characterization) of the solution to the Richards‐type fractional differential equation for , where is a continuously differentiable function on and is a positive real constant. The obtained representation of the solution can be used effectively for computational and analytic purposes. This study improves and generalizes the results obtained on fractional logistic ordinary differential equation.

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.10394

Reference43 articles.

1. Fractional Differential Equations and Inclusions

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3. New preconditioning and half-sweep accelerated overrelaxation solution for fractional differential equation

4. Analytical Solution of Generalized Bratu-Type Fractional Differential Equations Using the Homotopy Perturbation Transform Method

5. Solution of Fractional Partial Differential Equations Using Fractional Power Series Method