Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (1): 121-129.doi: 10.13371/j.cnki.chin.q.j.m.2015.01.012

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Laplace Transform Method Applied to Solve Fractional Difference Equations

  

  1. School of Mathematical Science, Anhui University
  • Received:2013-04-01 Online:2015-03-30 Published:2020-11-24
  • About author:LI Xiao-yan(1975-), female, native of Xiaoxian, Anhui, an associate professor of Anhui University, engages in fractional differential and difference equations.
  • Supported by:
    Supported by the NSFC(11371027); Supported by the Starting Research Fund for Doctors of Anhui University(023033190249); 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);

Abstract: In this paper, we discuss the Laplace transform of the Caputo fractional difference and the fractional discrete Mittag-Leffler functions. On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method. 

Key words: discrete fractional calculus, discrete fractional equation, laplace transform, Mittag-Leffler functions

CLC Number: