On a new type of fractional difference operators on h-step isolated time scales

Weighted fractional difference operators

https://doi.org/10.48185/jfcns.v1i1.148

Authors

  • Thabet Abdeljawad Prince Sultan University, Saudi Arabia
  • Fahd Jarad Department of Mathematics, Cankaya University
  • Abdon Atangana
  • Pshtiwan Othman Mohammed

Keywords:

weighted fractional sum, weighted fractional difference, Caputo fractional weighted difference, Q-operator, Leibniz rule, isolated time scale, integration by parts, nabla discrete Mittag-Leffler function, 2010 MSC: 34A08, 26A33, 39A12

Abstract

In this article, a new type of fractional sums and differences called the discrete weighted fractional
operators are presented. The weighted backward and forward difference operators are defined on an
isolated time scale with arbitrary step size and they obey the power law.

Published

2021-03-06

How to Cite

Abdeljawad, T., Jarad, F., Atangana, A., & Mohammed, P. O. . (2021). On a new type of fractional difference operators on h-step isolated time scales: Weighted fractional difference operators. Journal of Fractional Calculus and Nonlinear Systems, 1(1), 46–74. https://doi.org/10.48185/jfcns.v1i1.148