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Approximate controllability of non-autonomous Sobolev type integro-differential equations having nonlocal and non-instantaneous impulsive conditions

Author

Listed:
  • Arshi Meraj

    (Indian Institute of Technology Roorkee)

  • Dwijendra N. Pandey

    (Indian Institute of Technology Roorkee)

Abstract

The aim of this article is to study approximate controllability of a class of non-autonomous Sobolev type integro-differential equations having non-instantaneous impulses with nonlocal initial condition. The results will be proved with the help of evolution system and Krasnoselskii fixed point theorem. An example is presented to show how our abstract results can be applied.

Suggested Citation

  • Arshi Meraj & Dwijendra N. Pandey, 2020. "Approximate controllability of non-autonomous Sobolev type integro-differential equations having nonlocal and non-instantaneous impulsive conditions," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(2), pages 501-518, June.
    • Handle: RePEc:spr:indpam:v:51:y:2020:i:2:d:10.1007_s13226-020-0413-9
    DOI: 10.1007/s13226-020-0413-9
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    References listed on IDEAS

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    1. Ge, Fu-Dong & Zhou, Hua-Cheng & Kou, Chun-Hai, 2016. "Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 107-120.
    2. N. I. Mahmudov, 2013. "Approximate Controllability of Fractional Sobolev-Type Evolution Equations in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, March.
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