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The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations

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  • Baojun Miao
  • Xuechen Li

Abstract

By using fractional calculus and the summation by parts formula in this paper, the asymptotic behaviours of solutions of nonlinear neutral fractional delay pantograph equations with continuous arguments are investigated. The asymptotic estimates of solutions for the equation are obtained, which may imply asymptotic stability of solutions. In the end, a particular case is provided to illustrate the main result and the speed of the convergence of the obtained solutions.

Suggested Citation

  • Baojun Miao & Xuechen Li, 2017. "The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-6, October.
    • Handle: RePEc:hin:jnlamp:6971743
    DOI: 10.1155/2017/6971743
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