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A class of time‐fractional reaction‐diffusion equation with nonlocal boundary condition
Journal article   Peer reviewed

A class of time‐fractional reaction‐diffusion equation with nonlocal boundary condition

Yong Zhou, L. Shangerganesh, J. Manimaran and Amar Debbouche
Mathematical methods in the applied sciences, Vol.41(8), pp.2987-2999
30/05/2018
DOI: https://doi.org/10.1002/mma.4796

Abstract

Faedo‐Galerkin method fractional reaction‐diffusion equation weak solution
The purpose of the study is to analyze the time‐fractional reaction‐diffusion equation with nonlocal boundary condition. The proposed model is used to predict the invasion of tumor and its growth. Further, we establish the existence and uniqueness of a weak solution of the proposed model using the Faedo‐Galerkin method and compactness arguments.

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