On the solutions of fractional reaction-diffusion equations

  • Jagdev Singh Jagan Nath University, Jaipur, Rajasthan, India
  • Devendra Kumar JaganNath Gupta Institute of Engineering and Technology, Jaipur, Rajasthan, India
  • Sushila Rathore Jagan Nath University, Jaipur, Rajasthan, India
Keywords: Fractional reaction-diffusion equation, Mittag-Leffler function, Generalized Riemann- Liouville fractional derivative, Caputo derivative, Riesz-Feller fractional derivative, Laplace transform, Fourier transform

Abstract

In this paper, we obtain the solution of a fractional reaction-diffusion equation associated with the generalized Riemann-Liouville fractional derivative as the time derivative and Riesz-Feller fractional derivative as the space-derivative. The results are derived by the application of the Laplace and Fourier transforms in compact and elegant form in terms of Mittag-Leffler function and H-function. The results obtained here are of general nature and include the results investigated earlier by many authors.

Author Biographies

Jagdev Singh, Jagan Nath University, Jaipur, Rajasthan, India

Assistant Professor

Department of Mathematics

Devendra Kumar, JaganNath Gupta Institute of Engineering and Technology, Jaipur, Rajasthan, India

Assistant Professor

Department of Mathematics

Sushila Rathore, Jagan Nath University, Jaipur, Rajasthan, India

Assistant Professor

Department of Physics

Published
2013-05-03
Section
Articoli