A remark on the q-fractional order differential equations

Yongchao Tang and Tie Zhang

Applied Mathematics and Computation, 2019, vol. 350, issue C, 198-208

Abstract: An analytical method to obtain the exact solution of q-fractional order differential equations was presented in article Koca (2015) which shows that: “Solving a q-fractional order differential equation is equivalent to solve a q-integer order differential equation”. In this article, we first show that the analytical method given in [3] is wrong. Then, we propose analytical and numerical methods for the Caputo type q-fractional differential equations by using the q-beta function. Some examples are given to disconfirm the solving method in [3] and valid the effectiveness of our methods.

Keywords: q-fractional derivatives; q-fractional integrals; q-fractional differential equation; Analytical method; Iterative method (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:350:y:2019:i:c:p:198-208

DOI: 10.1016/j.amc.2019.01.008

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