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Analytic study on linear neutral fractional differential equations

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  • Zhou, Xian-Feng
  • Yang, Fuli
  • Jiang, Wei

Abstract

This paper is devoted to investigating linear neutral fractional differential equations with constant coefficients. The existence, uniqueness and iterative formula of the solution are obtained. Meanwhile, dependence of the solution on initial value and the general solution represented by a fundamental solution matrix are discussed. Several examples are given to illustrate the applications of our results. Some conclusions in the literature are extended greatly.

Suggested Citation

  • Zhou, Xian-Feng & Yang, Fuli & Jiang, Wei, 2015. "Analytic study on linear neutral fractional differential equations," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 295-307.
    • Handle: RePEc:eee:apmaco:v:257:y:2015:i:c:p:295-307
    DOI: 10.1016/j.amc.2014.12.056
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    References listed on IDEAS

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    1. Tavazoei, Mohammad Saleh & Haeri, Mohammad, 2009. "A note on the stability of fractional order systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(5), pages 1566-1576.
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    Cited by:

    1. Hou, Mimi & Xi, Xuan-Xuan & Zhou, Xian-Feng, 2021. "Boundary control of a fractional reaction-diffusion equation coupled with fractional ordinary differential equations with delay," Applied Mathematics and Computation, Elsevier, vol. 406(C).
    2. Wang, Jian & Zhu, Yuanguo & Gu, Yajing & Lu, Ziqiang, 2021. "Solutions of linear uncertain fractional order neutral differential equations," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    3. Du, Feifei & Lu, Jun-Guo, 2020. "Finite-time stability of neutral fractional order time delay systems with Lipschitz nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 375(C).

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