关键词: 分数阶微分方程, 爆破解, Laplace变换, 方程组

Abstract:

The authors focused on the study of a type of nonlinear system of timefractional differential equations, and obtainsed the system of the integral equations which is equivalent to the system of nonlinear partial differential equations with timefractional derivative via the approach of Laplace transformation, and proved the existence of local solutions to the system of the integral equations. In addition, we investigated the blowingup  solutions to the nonlinear system of fractional differential equations   using Hlder’s inequality, and obtained the blowingup solution of equation set in a finite time.

Key words: fractional differential equation, blowingup solution, Laplace transformation, system