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Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications

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  • Lakshman Mahto
  • Syed Abbas
  • Angelo Favini

Abstract

We use Sadovskii's fixed point method to investigate the existence and uniqueness of solutions of Caputo impulsive fractional differential equations of order with one example of impulsive logistic model and few other examples as well. We also discuss Caputo impulsive fractional differential equations with finite delay. The results proven are new and compliment the existing one.

Suggested Citation

  • Lakshman Mahto & Syed Abbas & Angelo Favini, 2013. "Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications," International Journal of Differential Equations, Hindawi, vol. 2013, pages 1-11, February.
    • Handle: RePEc:hin:jnijde:704547
    DOI: 10.1155/2013/704547
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    Cited by:

    1. Ravichandran, C. & Logeswari, K. & Panda, Sumati Kumari & Nisar, Kottakkaran Sooppy, 2020. "On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).

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