Hi to all,
Greetings;
I really need a help to get a MAPLE, MATLAB or MATHEMATICA code for solving the nonlinear fractional system by using the Homotopy Asymptotic Method (HAM), this system consists of two equations as below:
D^a(x(t)) = x(t) - x(t) * y^2(t) ............Equ.1
D^b(y(t)) = (-1/2) y(t) + x^2(t) ............Equ.2
x(0) = 1 and y(0) = 0 (initial conditions)
we can consider a and b variant (for example a=2 and b=2)
See section 4 - applications (Equ. 24)
Muhammad Ali
Have a look at Article Solving a system of nonlinear fractional partial differentia...
Thesis Homotopy type methods for nonlinear differential equations
Article Homotopy analysis method for the fractional nonlinear equations
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