A conformable fractional calculus on arbitrary time scales

作者:Benkhettou, Nadia; Hassani, Salima; Torres, Delfim F. M.*
来源:JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2016, 28(1): 93-98.
DOI:10.1016/j.jksus.2015.05.003

摘要

A conformable time-scale fractional calculus of order alpha is an element of ]0, 1] is introduced. The basic tools for fractional differentiation and fractional integration are then developed. The Hilger time-scale calculus is obtained as a particular case, by choosing alpha = 1.

  • 出版日期2016-1