A novel analytical solution of a fractional diffusion problem by homotopy analysis transform method
In this study, we present the homotopy analysis transform method for finding solution of fractional diffusion-type equations. We can attain these equations by substituting a first-order time derivative by a fractional-order derivative in regular diffusion equation. We add some examples in order to illustrate the usefulness and efficiency of our novel proposed technique for fractional diffusion equations.
homotopy analysis transform method fractional-order derivative fractional diffusion equation