A method for solving differential equations of fractional order
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摘要
In this paper, we consider Caputo type fractional differential equations of order 0<α<1 with initial condition x(0)=x0. We introduce a technique to find the exact solutions of fractional differential equations by using the solutions of integer order differential equations. Generalization of the technique to finite systems is also given. Finally, we give some examples to illustrate the applications of our results.
论文关键词：23A33,26A33,34A99,Fractional derivatives and integrals,Fractional differential equations,Existence of solutions
论文评审过程：Received 3 May 2010, Revised 3 January 2012, Available online 20 January 2012.
论文官网地址：https://doi.org/10.1016/j.cam.2012.01.005
