A remark on the fractional order differential equations

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摘要

An important solving method was presented in article (Demirci and Ozalp, 2012) which shows that: ”The exact solution of a fractional order differential equation can be obtained by means of the solution of an integer order differential equation”. This article and its method have been cited by many researchers. In this paper, we will show that this solving method is wrong, and then we use several counter-examples to disconfirm this solving method.

论文关键词:23A33,26A33,34A99,Fractional differential equation,Solving method,Counter-example

论文评审过程:Received 16 November 2017, Revised 6 March 2018, Available online 17 March 2018, Version of Record 3 April 2018.

论文官网地址:https://doi.org/10.1016/j.cam.2018.03.006