In this paper, we discuss the Laplace transform of the Caputo fractional dierence and the fractional discrete Mittag-Leer functions. On these bases, linear and nonlinear fractional initial value problems are solved by...In this paper, we discuss the Laplace transform of the Caputo fractional dierence and the fractional discrete Mittag-Leer functions. On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method.展开更多
基金Supported by the NSFC(11371027)Supported by the Starting Research Fund for Doctors of Anhui University(023033190249)+1 种基金Supported by the NNSF of China,Tian Yuan Special Foundation(11326115)Supported by the Special Research Fund for the Doctoral Program of the Ministry of Education of China(20123401120001)
文摘In this paper, we discuss the Laplace transform of the Caputo fractional dierence and the fractional discrete Mittag-Leer functions. On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method.
