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Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces [PDF]

open access: yesAbstract and Applied Analysis, 2013
We investigate the controllability of impulsive neutral functional differential inclusions in Banach spaces. Our main aim is to find an effective method to solve the controllability problem of impulsive neutral functional differential inclusions with ...
X. J. Wan, Y. P. Zhang, J. T. Sun
doaj   +2 more sources

Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions [PDF]

open access: yesAbstract and Applied Analysis, 2013
We study the control systems governed by impulsive Riemann-Liouville fractional differential inclusions and their approximate controllability in Banach space.
Zhenhai Liu, Maojun Bin
doaj   +2 more sources

Impulsive hyperbolic differential inclusions with variable times [PDF]

open access: yesTopological Methods in Nonlinear Analysis, 2003
The authors deal with the existence of solutions for the second-order impulsive hyperbolic differential inclusions with variable times \[ \begin{aligned} {\partial^2u\over\partial t\,\partial x}\in F(t,x,u(t,x))\quad\text{a.e. }(t,x)\in J_a\times J_b,&\quad t\neq \tau_k(u(t,x)),\\ u(t^+, x)= I_k(u(t,x)),&\quad t= \tau_k(u(t,x)),\\ u(t,0)= \psi(t ...
Benchohra, Mouffak   +3 more
core   +6 more sources

Impulsive differential inclusions with fractional order [PDF]

open access: yesComputers & Mathematics with Applications, 2010
The authors consider the Cauchy problem for a fractional impulsive differential inclusion: \[ \begin{cases} D^\alpha_*\in F(t,y(t)) \text{ a.e. } \, t\in J\backslash\{t_{1},\dots,t_{m}\},\\ y(t^+_k)=I_k(t^-_k),\; k=1,\dots,m,\\ y'(t^+_k)=\bar I_k(t^-_k),\; k=1,\dots,m,\\ y(0)=a, y'(0)=c, \end{cases} \] the case of fractional differential equations and ...
Johnny Henderson, Abdelghani Ouahab
openaire   +3 more sources

Impulsive differential inclusions with constrains [PDF]

open access: yesElectronic Journal of Differential Equations, 2006
In the paper, we study weak invariance of differential inclusions with non-fixed time impulses under compactness type assumptions. When the right-hand side is one sided Lipschitz an extension of the well known relaxation theorem is proved.
Tzanko Donchev
doaj   +3 more sources

Existence Results for Impulsive Fractional Differential Inclusions with Two Different Caputo Fractional Derivatives [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2019
In this paper, we study the impulsive fractional differential inclusions with two different Caputo fractional derivatives and nonlinear integral boundary value conditions.
Dongdong Gao, Jianli Li
doaj   +2 more sources

Existence results for impulsive partial neutral functional differential inclusions [PDF]

open access: yesElectronic Journal of Differential Equations, 2003
In this paper we prove existence results for first order semilinear impulsive neutral functional differential inclusions under the mixed Lipschitz and Caratheodory ...
Sotiris K. Ntouyas
doaj   +1 more source

IMPULSIVE PARTIAL HYPERBOLIC DIFFERENTIAL INCLUSIONS OF FRACTIONAL ORDER [PDF]

open access: yesDemonstratio Mathematica, 2010
AbstractIn this paper we investigate the existence of solutions of a class of partial impulsive hyperbolic differential inclusions involving the Caputo fractional derivative. Our main tools are appropriate fixed point theorems from multivalued analysis.
Saïd Abbas, Mouffak Benchohra
openaire   +2 more sources

Impulsive fractional differential inclusions with flux boundary conditions [PDF]

open access: yesFilomat, 2017
In this work we investigate some existence results for solutions of a boundary value problem for impulsive fractional differential inclusions supplemented with fractional flux boundary conditions by applying Bohnenblust-Karlin?s fixed point theorem for multivalued maps.
Ergoren, Hilmi, Hilmi Ergören
openaire   +4 more sources

Impulsive neutral functional differential inclusions with variable times [PDF]

open access: yesElectronic Journal of Differential Equations, 2003
In this paper, we study the existence of solutions for first and second order impulsive neutral functional differential inclusions with variable times. Our main tool is a fixed point theorem due to Martelli for condensing multivalued maps.
Mouffak Benchohra, Abdelghani Ouahab
doaj   +3 more sources

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