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

作者：Zhou, Yong; Shangerganesh, L.; Manimaran, J.; Debbouche, Amar^*

来源：Mathematical Methods in the Applied Sciences, 2018, 41(8): 2987-2999.

DOI：10.1002/mma.4796

• 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.

• 出版日期2018-5-30
• 单位湘潭大学