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Controllability of fractional integro-differential evolution equations with nonlocal conditions

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  • Liang, Jin
  • Yang, He

Abstract

This paper concerns the controllability for a class of fractional integro-differential evolution equations with nonlocal initial conditions. By using the fractional calculus, measure of noncompactness and the Mönch fixed point theorem, we obtain a controllability result for the nonlocal Cauchy problem of the fractional integro-differential evolution equations involving noncompact semigroups and the nonlocal functions without Lipschitz continuity. An example is given to illustrate the effectiveness of the abstract results.

Suggested Citation

  • Liang, Jin & Yang, He, 2015. "Controllability of fractional integro-differential evolution equations with nonlocal conditions," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 20-29.
    • Handle: RePEc:eee:apmaco:v:254:y:2015:i:c:p:20-29
    DOI: 10.1016/j.amc.2014.12.145
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    References listed on IDEAS

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    1. G. Arthi & K. Balachandran, 2012. "Controllability of Damped Second-Order Impulsive Neutral Functional Differential Systems with Infinite Delay," Journal of Optimization Theory and Applications, Springer, vol. 152(3), pages 799-813, March.
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    Cited by:

    1. Cao, Yueju & Sun, Jitao, 2017. "Controllability of measure driven evolution systems with nonlocal conditions," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 119-126.
    2. Arthi, G. & Park, Ju H. & Suganya, K., 2019. "Controllability of fractional order damped dynamical systems with distributed delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 165(C), pages 74-91.
    3. Kavitha, K. & Vijayakumar, V. & Udhayakumar, R., 2020. "Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    4. Longfei Lin & Yansheng Liu & Daliang Zhao, 2021. "Controllability of Impulsive ψ -Caputo Fractional Evolution Equations with Nonlocal Conditions," Mathematics, MDPI, vol. 9(12), pages 1-14, June.
    5. Mahmudov, N.I., 2020. "Finite-approximate controllability of semilinear fractional stochastic integro-differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).

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