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

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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.

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Acknowledgement

The work of first author is supported by Ministry of Human Resource Development, India with grant code MHR-01-23-200-428.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247 667, Uttarakhand, India

    Arshi Meraj & Dwijendra N. Pandey

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  1. Arshi Meraj
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  2. Dwijendra N. Pandey
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Correspondence to Arshi Meraj or Dwijendra N. Pandey.

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Meraj, A., Pandey, D.N. Approximate controllability of non-autonomous Sobolev type integro-differential equations having nonlocal and non-instantaneous impulsive conditions. Indian J Pure Appl Math 51, 501–518 (2020). https://doi.org/10.1007/s13226-020-0413-9

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  • DOI: https://doi.org/10.1007/s13226-020-0413-9

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