New Approximate Solution of the Time-Fractional Nagumo Equation Involving Fractional Integrals Without Singular Kernel

Authors

H. M. Srivastava, Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada\\Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of China\\Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, AzerbaijanFollow
Khaled M. Saad, Department of Mathematics, College of Sciences and Arts, Najran University, Najran, Kingdom of Saudi Arabia\\Department of Mathematics, Faculty of Applied Science, Taiz University, Taiz, YemenFollow

Author Country (or Countries)

Azerbaijan

Abstract

Caputo-Fabrizio-Caputo fractional integral (CFCFI), Atangana-Baleanu-Caputo fractional integral (ABCFI), Graphical representations. In this paper, we present an algorithm by using the Adomian Decomposition Method (ADM) in order to solve the time-fractional Nagumo equation (TFNE) based upon the Liouville-Caputo type Caputo-Fabrizio fractional integral (CFCFI) and the Liouville-Caputo type Atangana-Baleanu fractional integral (ABCFI). We compute the residual error function and derive remarkably efficient results. By means of graphical representations, we show the behavior of the time-fractional Nagumo equation (TFNE) for different values of the involved parameters α and μ in our present investigation.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140101

Recommended Citation

M. Srivastava, H. and M. Saad, Khaled (2020) "New Approximate Solution of the Time-Fractional Nagumo Equation Involving Fractional Integrals Without Singular Kernel," Applied Mathematics & Information Sciences: Vol. 14: Iss. 1, Article 1.
DOI: http://dx.doi.org/10.18576/amis/140101
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss1/1