Approximate Controllability of a Fractional Neutral Differential System with Deviated Argument in a Banach Space
Sign Up to like & getrecommendations! Published in 2017 at "Differential Equations and Dynamical Systems"
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
Sign Up to like & getrecommendations! Published in 2017 at "Arabian Journal of Mathematics"
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
Finite-approximate controllability of fractional evolution equations: variational approach
Sign Up to like & getrecommendations! Published in 2018 at "Fractional Calculus and Applied Analysis"
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
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
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