Stability analysis for fractional order advection-reaction diffusion system

被引：70

作者：

Khan, Hasib ^{[1
,2
]}

Gomez-Aguilar, J. F. ^{[3
]}

Khan, Aziz ^{[4
]}

Khan, Tahir Saeed ^{[4
]}

机构：

[1] Hohai Univ, Coll Engn Mech, Nanjing 211100, Jiangsu, Peoples R China

[2] Shaheed Benazir Bhutto Univ, Dept Math, Dir Upper 18000, Khybar Pakhtunk, Pakistan

[3] CONACyT Tecnol Nacl Mexico CENIDET, Interior Int Palmira S-N,Col Palmira, Cuernavaca 62490, Morelos, Mexico

[4] Univ Peshawar, Dept Math, Khybar Pakhtunkhwa 25000, Pakistan

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 521卷

基金：

中国国家自然科学基金;

关键词：

Advection-reaction diffusion model; ABC-fractional derivative; Hyers-Ulam stability; Existence and uniqueness of solution; GLOBAL EXPONENTIAL STABILITY; HYERS-ULAM STABILITY; NEURAL-NETWORKS; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTION; P-LAPLACIAN; MODEL; UNIQUENESS; EXISTENCE; CALCULUS;

D O I：

10.1016/j.physa.2019.01.102

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we present an alternative representation of the advection-reaction diffusion model involving fractional-order derivatives with Mittag-Leffler kernel. The study includes three main aspects: existence and uniqueness of solutions, Hyers-Ulam stability, and numerical simulations. For the existence and uniqueness of solutions, we use fixed point approach; also, we presents the Hyers-Ulam stability. For the numerical simulations, a new numerical scheme that involve Lagrange interpolation, Laplace transform and forward Euler technique is considered. Numerical simulations were obtained for some specific parameters. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：737 / 751

页数：15

共 48 条

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