Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (2): 291-303.

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Initial Value Problem for Nonlinear Fractional Differential Equations with Variable-order Derivative and a Parameter

Zhang Shuqin1, Hu Lei2   

  1. 1. Department of Mathematics, China University of Mining & Technology, Beijing 100083;
    2. School of Science, Shandong Jiaotong University, Jinan 250357
  • Received:2016-08-12 Revised:2017-06-27 Online:2018-04-26 Published:2018-04-26
  • Supported by:
    Supported by the NSFC (11371364, 11671181)

Abstract: In this work, we study the existence result of solution to an initial value problem for a differential equation involving with variable-order derivative. Our analysis relies on the Schauder fixed-point theorem and some analysis technique.

Key words: Derivatives and integrals of variable-order, Initial value problem, Existence of solution, Fixed-point theorem

CLC Number: 

  • O175.8
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