[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2014.29.1.173

A GENERAL SOLUTION OF A SPACE-TIME FRACTIONAL ANOMALOUS DIFFUSION PROBLEM USING THE SERIES OF BILATERAL EIGEN-FUNCTIONS

Kumar, Hemant (Department of Mathematics D.A-V. (P.G.) College Kanpur)
Pathan, Mahmood Ahmad (Center for Mathematical Sciences Pala Campus Arunapuram)
Srivastava, Harish (Department of Mathematics D.A-V. (P.G.) College Kanpur)

Publication Information

Communications of the Korean Mathematical Society / v.29, no.1, 2014 , pp. 173-185 More about this Journal

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;

Citations & Related Records

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