Hemant Kumar, Mahmood Ahmad Pathan, and Harish Srivastava D.A-V. (P.G.) College Kanpur, Pala Campus Arunapuram, D.A-V. (P.G.) College Kanpur
Abstract : In the present paper, we consider an anomalous diffusion problem in two dimensional space involving Caputo time and Riesz-Feller fractional derivatives and then solve it by using a series involving bilateral eigen-functions. Also, we obtain a numerical approximation formula of this problem and discuss some of its particular cases.
Keywords : anomalous diffusion problem, Caputo-derivative, Riesz-Feller fractional derivatives, a series of bilateral eigen-functions, numerical approximation formula