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Results on approximate controllability results for second‐order Sobolev‐type impulsive neutral differential evolution inclusions with infinite delay
Author(s) -
Vijayakumar V.,
Panda Sumati Kumari,
Nisar Kottakkaran Sooppy,
Baskonus Haci Mehmet
Publication year - 2021
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22573
Subject(s) - sobolev space , controllability , mathematics , differential inclusion , order (exchange) , type (biology) , differential (mechanical device) , mathematical analysis , trigonometric functions , function (biology) , set (abstract data type) , sine , first order , computer science , ecology , geometry , finance , evolutionary biology , engineering , economics , biology , programming language , aerospace engineering
In this article, we determine a set of appropriate conditions for approximate controllability of second‐order Sobolev‐type impulsive neutral differential evolution inclusions with infinite delay. We verify the main results by applying ideas about the cosine function, sine functions, and fixed point approach. Next, we continue the discussion to the nonlocal second‐order Sobolev‐type differential system. In the end, we provide a theoretical application to assist in the effectiveness of our discussion.