Existence and exact controllability of fractional evolution inclusions with damping
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4325
Abstract: The aim of this paper is to deal with the existence of mild solutions and exact controllability for a class of fractional evolution inclusions with damping (FEID, for short) in Banach spaces. Firstly, we provide… read more here.
Keywords: existence; inclusions damping; evolution inclusions; existence exact ... See more keywords
Hybrid fixed point theorems with application to fractional evolution equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-017-0449-6
Abstract: In this paper, we first prove some hybrid fixed point theorems of Krasnoselskii type via the measure of noncompactness in Banach spaces. Then some coupled fixed point theorems are established using the obtained hybrid fixed… read more here.
Keywords: hybrid fixed; theorems application; point; fractional evolution ... See more keywords
Existence and Regularity of q-Mild Solutions to Fractional Evolution Equations with Noncompact Semigroups
Sign Up to like & getrecommendations! Published in 2018 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-016-0337-3
Abstract: We discuss the existence and regularity of solutions to some fractional evolution equations in the q-norm. The linear part generates a noncompact semigroup, and the nonlinear part satisfies some conditions with respect to the fractional… read more here.
Keywords: evolution equations; existence regularity; fractional evolution; solutions fractional ... See more keywords
A local mesh-less collocation method for solving a class of time-dependent fractional integral equations: 2D fractional evolution equation
Sign Up to like & getrecommendations! Published in 2020 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2020.01.017
Abstract: Abstract The local radial basis function (LRBF) method is an excellent tool for solving variable-order time-fractional evolution equations. This method reduces the expensive computational cost of the conventional global RBF collocation (GRBFC) approach. The present… read more here.
Keywords: collocation; time; method; fractional evolution ... See more keywords
On the Approximate Controllability for Hilfer Fractional Evolution Hemivariational Inequalities
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DOI: 10.1080/01630563.2018.1499667
Abstract: Abstract The paper is concerned with the approximate controllability of some Hilfer fractional evolution hemivariational inequalities. Using two classes of operators and their fundamental properties, we derive sufficient conditions for approximate controllability of linear and… read more here.
Keywords: evolution hemivariational; approximate controllability; hilfer fractional; fractional evolution ... See more keywords
Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators
Sign Up to like & getrecommendations! Published in 2020 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2020-0011
Abstract: Abstract In this article, we are concerned with the existence of mild solutions as well as approximate controllability for a class of fractional evolution equations with nonlocal conditions in Banach spaces. Sufficient conditions of existence… read more here.
Keywords: evolution equations; approximate controllability; fractional evolution; controllability ... See more keywords
Asymptotically periodic behavior of solutions of fractional evolution equations of order 1 < α < 2
Sign Up to like & getrecommendations! Published in 2019 at "Mathematica Slovaca"
DOI: 10.1515/ms-2017-0250
Abstract: Abstract In this paper we investigate the asymptotically periodic behavior of solutions of fractional evolution equations of order 1 < α < 2 and in particular existence and uniqueness results are established. Two examples are… read more here.
Keywords: solutions fractional; evolution equations; behavior solutions; asymptotically periodic ... See more keywords
Existence of Mild Solutions for Hilfer Fractional Evolution Equations with Almost Sectorial Operators
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11040144
Abstract: In this paper, we obtain new sufficient conditions of the existence of mild solutions for Hilfer fractional evolution equations in the cases that the semigroup associated with an almost sectorial operator is compact as well… read more here.
Keywords: existence mild; hilfer fractional; evolution equations; solutions hilfer ... See more keywords
Controllability of a Class of Impulsive ψ-Caputo Fractional Evolution Equations of Sobolev Type
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DOI: 10.3390/axioms11060283
Abstract: In this paper, we investigate the controllability of a class of impulsive ψ-Caputo fractional evolution equations of Sobolev type in Banach spaces. Sufficient conditions are presented by two new characteristic solution operators, fractional calculus, and… read more here.
Keywords: impulsive caputo; controllability class; class impulsive; evolution equations ... See more keywords
Nonlocal Fractional Evolution Inclusions of Order α ∈ (1,2)
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DOI: 10.3390/math7020209
Abstract: This paper studies the existence of mild solutions and the compactness of a set of mild solutions to a nonlocal problem of fractional evolution inclusions of order α ∈ ( 1 , 2 ) .… read more here.
Keywords: evolution inclusions; nonlocal fractional; fractional evolution; inclusions order ... See more keywords
Existence of Attractive Solutions for Hilfer Fractional Evolution Equations with Almost Sectorial Operators
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14020392
Abstract: The purpose of this paper is to investigate the existence of attractive solutions for a Cauchy problem of fractional evolution equations with Hilfer fractional derivative, which is a generalization of both the Riemann–Liuoville and Caputo… read more here.
Keywords: existence attractive; attractive solutions; evolution equations; hilfer fractional ... See more keywords