Discontinuity, Nonlinearity, and Complexity
Boundary Controllability of Fractional Order Nonlocal Semilinear Neutral Evolution Systems with Impulsive Condition
Discontinuity, Nonlinearity, and Complexity 8(4) (2019) 419428  DOI:10.5890/DNC.2019.12.006
Kamalendra Kumar$^{1}$, Rakesh Kumar$^{2}$
$^{1}$ Department of Mathematics, SRMS College of Engineering & Technology, Bareilly243001, India
$^{2}$ Department of Mathematics, Hindu College, Moradabad244001, India
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Abstract
Sufficient conditions of boundary controllability of fractional nonlocal semilinear neutral evolution equations with impulsive conditions are demonstrated. To get the result, we employ fixed point theorem and strongly continuous semigroup theory. An application is discussed to explain the theory.
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