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Title

AN IMPLICIT FINITE DIFFERENCE METHOD FOR SOLVING INTEGRO-PARTIAL TIME FRACTIONAL DIFFUSION EQUATION WITH WEAKLY SINGULAR KERNEL

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 Start Page | End Page

Abstract

 IN THIS PAPER WE DEVELOP AN IMPLICIT FINITE DIFFERENCE METHOD TO SOLVE AN ONEDIMENSIONAL LINEAR INTEGRO-PARTIAL TIME FRACTIONAL DIFFUSION EQUATION WITH WEAKLY SINGULAR KERNEL, FORMULATED WITH CAPUTOS FRACTIONAL DERIVATIVE. THE NUMERICAL TEST IS PERFORMED AND COMPARATIVE RESULTS ARE PROVIDED TO ILLUSTRATE THE USEFULNESS OF THE PROPOSED METHOD.

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