Note on the convergence of fractional conformable diffusion equation with linear source term

Authors : Tien NGUYEN

Pages : 387-392

Doi:10.53006/rna.1144709

View : 8 | Download : 4

Publication Date : 2022-09-30

Article Type : Research Paper

Abstract :In this paper, we study the diffusion equation with conformable derivative. The main goal is to prove the convergence of the mild solution to our problem when the order of fractional Laplacian tends to $1^-$. The principal techniques of our paper is based on some useful evaluations for exponential kernels.
Keywords : Conformable derivative, diffusion equation, convergent estimate