More Properties of Fractional Proportional Differences

https://doi.org/10.48185/jmam.v2i1.193

Authors

  • Thabet Abdeljawad
  • Iyad Suwan
  • Fahd Jarad Department of Mathematics, Cankaya University
  • Ammar Qarariyah

Keywords:

Fractional proportional sum, Caputo fractional proportional difference, Riemann fractional proportional difference, discrete $h-$Laplace transform

Abstract

The main aim of this paper is to clarify the action of the discrete Laplace transform on the fractional proportional operators. First of all, we recall the nabla fractional sums and differences and the discrete Laplace transform on a time scale equivalent to $h\mathbb{Z}$. The discrete $h-$Laplace transform and its convolution theorem are then used to study the introduced discrete fractional operators.

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Published

2021-03-29

How to Cite

Abdeljawad, T. ., Suwan, I. ., Jarad, F., & Qarariyah, A. . (2021). More Properties of Fractional Proportional Differences. Journal of Mathematical Analysis and Modeling, 2(1), 72–90. https://doi.org/10.48185/jmam.v2i1.193

Issue

Vol. 2 No. 1 (2021): 2021 (1)

Section

Articles
Copyright & Licensing

Copyright (c) 2021 Thabet Abdeljawad, Iyad Suwan, Fahd Jarad, Ammar Qarariyah

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.