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

Arshi Meraj () and Dwijendra N. Pandey ()
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Arshi Meraj: Indian Institute of Technology Roorkee
Dwijendra N. Pandey: Indian Institute of Technology Roorkee

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 2, 501-518

Abstract: 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.

Keywords: Approximate controllability; Krasnoselskii fixed point theorem; evolution system; non-instantaneous impulsive condition; Sobolev type integro-differential equations; 34A37; 34G20; 93B05 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0413-9

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