期刊论文、会议论文

Solvability of Nonlinear Sequential Fractional Dynamical Systems with Damping

英文

应用数学与应用物理(英文)

2327-4352

2017

5

2

303-310

2017 International Symposium on Computational and Applied Mathematics （ISCAM 2017）

Proceedings of 2017 International Symposium on Computational and Applied Mathematics (ISCAM 2017)

2017-02-26

中国陕西西安

10.4236/jamp.2017.52027

supported by National Science Foundation of China (Grant No.11371125);supported by the Natural Science Foundation of the Department of Education of Hunan Province (Grant No.13A013);supported by open fund of Guangxi Key laboratory of hybrid computation;NNSF of China Grants No.11661001;the Project of Guangxi Education Department grant No.KY2016YB417

本校为第一机构

In this paper, we are concerned with the solvability for a class of nonlinear sequential fractional dynamical systems with damping infinite dimensional spaces, which involves fractional Riemann-Liouville derivatives. The solutions of the dynamical systems are obtained by utilizing the method of Laplace transform technique and are based on the formula of the Laplace transform of the Mittag-Leffler function in two parameters. Next, we present the existence and uniqueness of solutions for nonlinear sequential fractional dynamical systems with da...