Similarity solutions for some nonlinear fractional partial differential equations

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Date

2021

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Faculty of Mathematics and computer sciences Department of Mathematics - Option : PDE and application

Abstract

The aim of this reserch its to determine similarity splution where will we analyze self-similar solution to a fractional heat conduction equation abd Generalized heat conduction equation, by using Lie-group scaling transformation both problems are reduced to ordinary nonlinear fractional differential equation the exact solution to the generalized heat conduction have been presented in two special.

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Keywords

nonlinear diffusion equation, fractional derivaives, heat conduction, similarity transformation

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