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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 14 > No. 1

 
   

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

PP: 1-8
doi:10.18576/amis/140101
Author(s)
H. M. Srivastava, Khaled M. Saad,
Abstract
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.

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