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

Year 2022, Volume: 5 Issue: 3, 387 - 392, 30.09.2022

Tien Nguyen

https://doi.org/10.53006/rna.1144709

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.

Supporting Institution

FPT University HCM

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