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Positivity and Stability of the Solutions of Caputo Fractional Linear Time‐Invariant Systems of Any Order with Internal Point Delays

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  • M. De la Sen

Abstract

This paper is devoted to the investigation of the nonnegative solutions and the stability and asymptotic properties of the solutions of fractional differential dynamic systems involving delayed dynamics with point delays. The obtained results are independent of the sizes of the delays.

Suggested Citation

  • M. De la Sen, 2011. "Positivity and Stability of the Solutions of Caputo Fractional Linear Time‐Invariant Systems of Any Order with Internal Point Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:161246
    DOI: 10.1155/2011/161246
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    References listed on IDEAS

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    1. Scalas, Enrico & Gorenflo, Rudolf & Mainardi, Francesco, 2000. "Fractional calculus and continuous-time finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 284(1), pages 376-384.
    2. Mainardi, Francesco & Raberto, Marco & Gorenflo, Rudolf & Scalas, Enrico, 2000. "Fractional calculus and continuous-time finance II: the waiting-time distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 468-481.
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    Cited by:

    1. Lijuan Su & Pei Cheng, 2013. "A Weighted Average Finite Difference Method for the Fractional Convection‐Diffusion Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2013(1).

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