Some further results of the laplace transform for variable–order fractional difference equations-Reference-Cited by-同舟云学术

Some further results of the laplace transform for variable–order fractional difference equations

Published:2019-12-01 Issue:6 Volume:22 Page:1641-1654
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Baleanu Dumitru¹²³,Wu Guo–Cheng⁴⁵

Affiliation:

1. College of Mechanics and Materials State Key Laboratory of Hydrology–Water Resources and Hydraulic Engineering Hohai University , Nanjing , Jiangsu 210098 , PR China

2. Department of Mathematics , Cankaya University , 06530 Balgat , Ankara , Turkey

3. Institute of Space Sciences , Magurele–Bucharest , Romania

4. Data Recovery Key Laboratory of Sichuan Province College of Mathematics and Information Science Neijiang Normal University , Neijiang , 641100 , PR China

5. Numerical Simulation Key Laboratory of Sichuan Province Neijiang Normal University , Neijiang , 641110 , PR China

Abstract

Abstract The Laplace transform is important for exact solutions of linear differential equations and frequency response analysis methods. In comparison with the continuous–time systems, less results can be available for fractional difference equations. This study provides some fundamental results of two kinds of fractional difference equations by use of the Laplace transform. Some discrete Mittag–Leffler functions are defined and their Laplace transforms are given. Furthermore, a class of variable–order and short memory linear fractional difference equations are proposed and the exact solutions are obtained.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2019-0084/pdf

Reference19 articles.

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