Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces [PDF]
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
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Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions [PDF]
We study the control systems governed by impulsive Riemann-Liouville fractional differential inclusions and their approximate controllability in Banach space.
Zhenhai Liu, Maojun Bin
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Impulsive hyperbolic differential inclusions with variable times [PDF]
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
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Impulsive differential inclusions with fractional order [PDF]
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
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Impulsive differential inclusions with constrains [PDF]
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
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Existence Results for Impulsive Fractional Differential Inclusions with Two Different Caputo Fractional Derivatives [PDF]
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
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Existence results for impulsive partial neutral functional differential inclusions [PDF]
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
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IMPULSIVE PARTIAL HYPERBOLIC DIFFERENTIAL INCLUSIONS OF FRACTIONAL ORDER [PDF]
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
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Impulsive fractional differential inclusions with flux boundary conditions [PDF]
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
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Impulsive neutral functional differential inclusions with variable times [PDF]
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
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