Regularity results for fractional diffusion equations involving fractional derivative with Mittag-Leffler kernel

被引：17

作者：

Ngoc Tran Bao ^{[1
]}

Baleanu, Dumitru ^{[2
,3
]}

Duc Le Thi Minh ^{[4
,5
]}

Tuan Nguyen Huy ^{[6
]}

机构：

[1] Duy Tan Univ, Inst Res & Dev, Da Nang, Vietnam

[2] Cankaya Univ, Dept Math, Ankara, Turkey

[3] Inst Space Sci, Magurele, Romania

[4] Univ Sci, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam

[5] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

[6] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 12期

关键词：

Atangana-Baleanu operator; existence; fractional diffusion equation; initial value problem; regularity; MODEL;

D O I：

10.1002/mma.6459

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies partial differential equation model with the new general fractional derivatives involving the kernels of the extended Mittag-Leffler type functions. An initial boundary value problem for the anomalous diffusion of fractional order is analyzed and considered. The fractional derivative with Mittag-Leffler kernel or also called Atangana and Baleanu fractional derivative in time is taken in the Caputo sense. We obtain results on the existence, uniqueness, and regularity of the solution.

引用

页码：7208 / 7226

页数：19

共 41 条

[1] Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel [J].