Year: 2021
Type: article
Abstract: In this paper, we first discuss some important properties of fractional q-calculus. Then, based on these properties and the q-Laplace transform, we translate a class of fractional q-differential equations into the equivalent q-differential equations with integer order. Thus, we propose a method for solving some linear fractional q-differential equations by means of solving the corresponding integer order equations. Several examples are provided to illustrate our solution method.
Source: Mathematics
DOI: 10.3390/math10010064
Authors: Ying Sheng, Tie Zhang
Institution: Northeastern University
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,728
OpenAlex ID: W4200419107