The Cauchy Problem for the Fractional Diffusion Equation in a Weighted Hölder Space

Сибирский математический журнал

R. M. Dzhafarov¹ 

[1] Institute of Applied Mathematics and Mechanics

关键词: Caputo derivative;    fundamental solution;    Cauchy problem;    weighted Hölder space;   

DOI  :  10.1134/S0037446618060071

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

Under study is the Cauchy problem for the fractional diffusion equation with a Caputo derivative. The existence and uniqueness theorems for a smooth solution are proven in a weighted H¨older space.

【 授权许可】

CC BY