Article Analytic solutions of time fractional diffusion equations by...
Dear Dr.
I note in your paper that you mention the exact solution can be obtained when beta =1,
how you can decide that it is an exact solution of fractional equation while you substitute the non fractional order. you need to review your paper for this point.
when you replace the fractional order by 1 then the solution becomes for non-fractional solution.
an example of this problem:
"Thus, by using Equation (6) in Equation (40),the closed solution of Equation (36a) in terms of Mittag-Leffler function is:
Lastly, the exact solution of Equation (37a), that is,),(t"
please, indicate exactly where you mention the difference between fractional and non-fractional solution?
thank you for your interest.
According to me when assume that we put alpha=1 or beta=1 in this case we obtain the ordinary differential eqation or partial differential equation. So that solution will correspond to the solution of ODE or PDE not Fractional differential equation solution.
still, what is the relation between this non-fractional solution when alpha=1 and approximate solution of fractional equation when alpha=1???
Muhammad Sohail