"On Solutions of Fractional Logistic Differential Equations" by Nourhane Attia, Ali Akgu ̈l et al.

Progress in Fractional Differentiation & Applications

Article Title

On Solutions of Fractional Logistic Differential Equations

Authors

Nourhane Attia, Ecole Nationale Supe ́rieure des Sciences de la Mer et de l’Ame ́nagement du Littoral, Campus Universitaire de Dely Ibrahim, Bois des Cars, B.P. 19, 16320 Alger, Alge ́rieFollow
Ali Akgu ̈l, Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon\\ Department of Mathematics, Art and Science Faculty, Siirt University, 56100 Siirt, Turkey\\Department of Mathematics, Mathematics Research Center, Near East University, Near East Boulevard, PC: 99138, Nicosia /Mersin 10 – Turkey Follow
Djamila Seba, Dynamic of Engines and Vibroacoustic Laboratory, University M’hamed Bougara of Boumerdes, Boumerdes, AlgeriaFollow
Abdelkader Nour, Dynamic of Engines and Vibroacoustic Laboratory, University M’hamed Bougara of Boumerdes, Boumerdes, AlgeriaFollow

Author Country (or Countries)

Algeria

Abstract

This paper presents an efficient computational technique based on the reproducing kernel theory for approximating the solutions of logistic differential equations of fractional order. The Caputo fractional derivative is utilized in the current approach. The numerical solution can be produced by taking the n-terms of the analytical solution. The convergence of the approximate solution to the analytical solution can be demonstrated with the help of numerical experiments. The numerical comparisons depict that the given method has high effectiveness, accuracy, and feasibility for fractional logistic differential equations.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090302

Recommended Citation

Attia, Nourhane; Akgu ̈l, Ali; Seba, Djamila; and Nour, Abdelkader (2023) "On Solutions of Fractional Logistic Differential Equations," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 3, Article 2.
DOI: http://dx.doi.org/10.18576/pfda/090302
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss3/2

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