Fractional q-symmetric calculus on a time scale

Abstract In this paper, the definitions of q-symmetric exponential function and q-symmetric gamma function are presented. By a q-symmetric exponential function, we shall illustrate the Laplace transform method and define and solve several families of linear fractional q-symmetric difference equation...

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Bibliographic Details
Main Authors: Mingzhe Sun, Chengmin Hou
Format: Article
Language:English
Published: SpringerOpen 2017-06-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-017-1219-x