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Existence results for an impulsive fractional integro-differential equation with state-dependent delay

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  • Suganya, S.
  • Mallika Arjunan, M.
  • Trujillo, J.J.

Abstract

In this paper, we have a tendency to implement different fixed point theorem [ Banach contraction principle, Krasnoselskii’s [18] and Schaefer’s [, 18] coupled with solution operator to analyze the existence and uniqueness results for an impulsive fractional integro-differential equations (IFIDE) with state-dependent delay (SDD) in Banach spaces. Finally, cases are offered to demonstrate the concept.

Suggested Citation

  • Suganya, S. & Mallika Arjunan, M. & Trujillo, J.J., 2015. "Existence results for an impulsive fractional integro-differential equation with state-dependent delay," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 54-69.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:54-69
    DOI: 10.1016/j.amc.2015.05.031
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    References listed on IDEAS

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    1. Wang, JinRong & Ibrahim, Ahmed Gamal & Fečkan, Michal, 2015. "Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 103-118.
    2. Haiyong Qin & Xin Zuo & Jianwei Liu, 2013. "Existence and Controllability Results for Fractional Impulsive Integrodifferential Systems in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, June.
    3. Jaydev Dabas & Archana Chauhan & Mukesh Kumar, 2011. "Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay," International Journal of Differential Equations, Hindawi, vol. 2011, pages 1-20, October.
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    Cited by:

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    2. Zeid, Samaneh Soradi, 2019. "Approximation methods for solving fractional equations," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 171-193.

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