Analytical and Numerical Solutions of a TB-HIV/AIDS Co-infection Model via Fractional Derivatives Without Singular Kernel

2020 ◽  
pp. 181-212 ◽  
Author(s):  
Mustafa Ali Dokuyucu ◽  
Hemen Dutta
Keyword(s):  
Fractional Derivatives ◽  
Numerical Solutions ◽  
Singular Kernel ◽  
Infection Model ◽  
Analytical And Numerical Solutions ◽  
Hiv Aids

scholarly journals Analytical and numerical solutions of electrical circuits described by fractional derivatives

2016 ◽  
Vol 40 (21-22) ◽  
pp. 9079-9094 ◽  
Author(s):  
J.F. Gómez-Aguilar ◽  
H. Yépez-Martínez ◽  
R.F. Escobar-Jiménez ◽  
C.M. Astorga-Zaragoza ◽  
J. Reyes-Reyes
Keyword(s):  
Fractional Derivatives ◽  
Numerical Solutions ◽  
Electrical Circuits ◽  
Analytical And Numerical Solutions

The physical problem of neutron slowing down: analytical and numerical solutions in finite media

1992 ◽  
Vol 13 (1) ◽  
pp. 38-46 ◽  
Author(s):  
V Colombo ◽  
G G M Coppa ◽  
S E Corno ◽  
P Ravetto
Keyword(s):  
Numerical Solutions ◽  
Physical Problem ◽  
Slowing Down ◽  
Analytical And Numerical Solutions

Analytical and numerical solutions of elastoplastic problems for spherical shells with circular cuts

1993 ◽  
Vol 29 (1) ◽  
pp. 22-27 ◽  
Author(s):  
I. A. Guseinov ◽  
R. Yu. Kerimov ◽  
I. S. Chernyshenko
Keyword(s):  
Numerical Solutions ◽  
Spherical Shells ◽  
Analytical And Numerical Solutions

Key words: Nonlinear Differential-Difference Equations; Exp-Function Method; N-Soliton Solutions

2010 ◽  
Vol 65 (11) ◽  
pp. 935-949 ◽  
Author(s):  
Mehdi Dehghan ◽  
Jalil Manafian ◽  
Abbas Saadatmandi
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Homotopy Analysis Method ◽  
Fractional Derivatives ◽  
Numerical Solutions ◽  
Initial Conditions ◽  
Analysis Method ◽  
Partial Differential ◽  
Integer Order ◽  
Homotopy Analysis

In this paper, the homotopy analysis method is applied to solve linear fractional problems. Based on this method, a scheme is developed to obtain approximation solution of fractional wave, Burgers, Korteweg-de Vries (KdV), KdV-Burgers, and Klein-Gordon equations with initial conditions, which are introduced by replacing some integer-order time derivatives by fractional derivatives. The fractional derivatives are described in the Caputo sense. So the homotopy analysis method for partial differential equations of integer order is directly extended to derive explicit and numerical solutions of the fractional partial differential equations. The solutions are calculated in the form of convergent series with easily computable components. The results of applying this procedure to the studied cases show the high accuracy and efficiency of the new technique.

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