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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Boundary Controllability of Fractional Order Nonlocal Semi-linear Neutral Evolution Systems with Impulsive Condition

Discontinuity, Nonlinearity, and Complexity 8(4) (2019) 419--428 | DOI:10.5890/DNC.2019.12.006

Kamalendra Kumar$^{1}$, Rakesh Kumar$^{2}$

$^{1}$ Department of Mathematics, SRMS College of Engineering & Technology, Bareilly-243001, India

$^{2}$ Department of Mathematics, Hindu College, Moradabad-244001, India

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Sufficient conditions of boundary controllability of fractional nonlocal semi-linear neutral evolution equations with impulsive conditions are demonstrated. To get the result, we employ fixed point theorem and strongly continuous semi-group theory. An application is discussed to explain the theory.


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