Existence of solution to a local fractional nonlinear differential equation

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摘要

We prove existence of solution to a local fractional nonlinear differential equation with initial condition. For that we introduce the notion of tube solution.

论文关键词:26A33,34A12,Existence of solutions,Fractional differential equations,Local fractional derivatives,Conformable fractional derivatives,Initial value problems

论文评审过程:Received 4 July 2015, Revised 3 January 2016, Available online 18 January 2016, Version of Record 17 October 2016.

论文官网地址:https://doi.org/10.1016/j.cam.2016.01.014