Further solutions of fractional reaction-diffusion equations in terms of the H-function

This paper is in continuation of our earlier paper in which we have derived the solution of a unified fractional reaction-diffusion equation associated with the Caputo derivative as the time-derivative and Riesz-Feller fractional derivative as the space-derivative. In this paper, we consider a unified reaction-diffusion equation with the Riemann-Liouville fractional derivative as the time-derivative and Riesz-Feller derivative as the space-derivative. The solution is derived by the application of the Laplace and Fourier transforms in a compact and closed form in terms of the H-function. The results derived are of general character and include the results investigated earlier in [7,8]. The main result is given in the form of a theorem. A number of interesting special cases of the theorem are also given as corollaries.