Approximate controllability of fractional differential systems with nonlocal conditions of order q∈(1,2) in Banach spaces
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DOI: 10.1002/asjc.3544
Abstract: In this work, we are concerned with the approximate controllability of fractional nonlinear differential equations with nonlocal conditions of order 1 read more here.
Keywords: approximate controllability; nonlocal conditions; conditions order; controllability fractional ... See more keywords
Approximate Controllability of a Fractional Neutral Differential System with Deviated Argument in a Banach Space
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DOI: 10.1007/s12591-015-0237-y
Abstract: In this paper, a fractional order neutral differential equation with deviated argument is studied. The existence and uniqueness of mild solution are obtained by using Banach contraction principle without imposing additional assumptions such as compactness,… read more here.
Keywords: controllability fractional; deviated argument; neutral differential; approximate controllability ... See more keywords
Approximate controllability of fractional nonlinear neutral stochastic differential inclusion with nonlocal conditions and infinite delay
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DOI: 10.1007/s40065-017-0163-7
Abstract: In this paper we consider a class of fractional nonlinear neutral stochastic evolution inclusions with nonlocal initial conditions in Hilbert space. Using fractional calculus, stochastic analysis theory, operator semigroups and Bohnenblust–Karlin’s fixed point theorem, a… read more here.
Keywords: controllability fractional; nonlinear neutral; stochastic differential; fractional nonlinear ... See more keywords
Results on partial approximate controllability of fractional control systems in Hilbert spaces with conformable derivatives
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DOI: 10.1063/5.0190334
Abstract: This paper investigates partial approximate controllability of fractional linear and semi-linear control systems involving the conformable derivative. First, we derive sufficient and necessary conditions for partial approximate controllability of fractional linear systems over a small… read more here.
Keywords: partial approximate; approximate controllability; control systems; controllability fractional ... See more keywords
Finite-approximate controllability of fractional evolution equations: variational approach
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DOI: 10.1515/fca-2018-0050
Abstract: Abstract In this work we extend a variational method to study the approximate controllability and finite dimensional exact controllability (finite-approximate controllability) for the fractional semilinear evolution equations with nonlocal conditions in Hilbert spaces. Assuming the… read more here.
Keywords: controllability fractional; evolution equations; approximate controllability; controllability ... See more keywords
Approximate Controllability of Fractional Evolution Equations with ψ-Caputo Derivative
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DOI: 10.3390/sym15051050
Abstract: The primary objective of this study is to investigate the concept of approximate controllability in fractional evolution equations that involve the ψ-Caputo derivative. Specifically, we examine the scenario where the semigroup is compact and analytic.… read more here.
Keywords: caputo derivative; fractional evolution; controllability fractional; evolution equations ... See more keywords