• 제목/요약/키워드: a series of bilateral eigen-functions

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

  • Kumar, Hemant;Pathan, Mahmood Ahmad;Srivastava, Harish
    • 대한수학회논문집
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    • 제29권1호
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    • pp.173-185
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    • 2014
  • 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.