Approximate controllability of impulsive fractional integro-differential equation with state-dependent delay in Hilbert spaces

[1]  Yong-Kui Chang,et al.  Existence results for impulsive neutral functional differential equations with infinite delay , 2008 .

[2]  Jaydev Dabas,et al.  Existence and uniqueness of mild solution for an impulsive neutral fractional integro-differential equation with infinite delay , 2013, Math. Comput. Model..

[3]  Yong Zhou,et al.  Weak solutions of the time-fractional Navier-Stokes equations and optimal control , 2017, Comput. Math. Appl..

[4]  Toufik Guendouzi,et al.  Approximate Controllability of Fractional Neutral Stochastic Functional Integro-Differential Inclusions with Infinite Delay , 2014 .

[5]  Emilia Bazhlekova,et al.  Fractional evolution equations in Banach spaces , 2001 .

[6]  M. Benchohra,et al.  Impulsive differential equations and inclusions , 2006 .

[7]  Yong Zhou,et al.  Topological properties of solution sets for partial functional evolution inclusions , 2017 .

[8]  Juan J. Trujillo,et al.  Controllability of Impulsive Fractional Functional Integro-Differential Equations in Banach Spaces , 2013 .

[9]  V. E. Tarasov.  Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media , 2011 .

[10]  Johnny Henderson,et al.  Impulsive Differential Inclusions: A Fixed Point Approach , 2013 .

[11]  Claudio Cuevas,et al.  Existence results for fractional neutral integro-differential equations with state-dependent delay , 2011, Comput. Math. Appl..

[12]  Yong Zhou.  Basic Theory of Fractional Differential Equations , 2014 .

[13]  R. Hilfer.  Applications Of Fractional Calculus In Physics , 2000 .

[14]  Yong Zhou,et al.  Controllability for fractional evolution inclusions without compactness , 2015 .

[15]  Rathinasamy Sakthivel,et al.  Approximate controllability of fractional functional equations with infinite delay , 2016 .

[16]  I. Podlubny.  Fractional differential equations , 1998 .

[17]  Sakthivel Rathinasamy,et al.  Approximate Controllability of Fractional Differential Equations with State-Dependent Delay , 2013 .

[18]  Yong Zhou,et al.  Fractional Evolution Equations and Inclusions: Analysis and Control , 2016 .

[19]  Ivanka M. Stamova,et al.  Stability Analysis of Impulsive Functional Differential Equations , 2009 .

[20]  Yong Zhou,et al.  Existence and controllability results for fractional semilinear differential inclusions , 2011 .

[21]  Ravi P. Agarwal,et al.  On fractional integro-differential equations with state-dependent delay , 2011, Comput. Math. Appl..

[22]  C. Ravichandran,et al.  Approximate controllability for a class of fractional neutral integro-differential inclusions with state-dependent delay , 2013 .

[23]  Mouffak Benchohra,et al.  On fractional integro-differential inclusions with state-dependent delay in Banach spaces , 2013 .

[24]  Yong Zhou,et al.  Existence of mild solutions for fractional evolution equations , 2013 .

[25]  Zhenhai Liu,et al.  Approximate controllability of fractional functional evolution inclusions with delay in Hilbert spaces , 2014, IMA J. Math. Control. Inf..

[26]  Donal O'Regan,et al.  On a new class of abstract impulsive differential equations , 2012 .

[27]  JinRong Wang,et al.  Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces , 2015, Appl. Math. Comput..

[28]  Rathinasamy Sakthivel,et al.  Approximate controllability of fractional nonlinear differential inclusions , 2013, Appl. Math. Comput..

[29]  M. Benchohra,et al.  Fractional Integro-Differential Equations with State-Dependent Delay , 2014 .

[30]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[31]  Velusamy Kavithaa,et al.  Existence results for neutral functional fractional differential equations with state dependent-delay , 2012 .

[32]  Drumi D. Bainov,et al.  Impulsive Differential Equations with a Small Parameter , 1994, Series on Advances in Mathematics for Applied Sciences.

[33]  V. Lakshmikantham,et al.  Theory of Fractional Dynamic Systems , 2009 .

[34]  Rathinasamy Sakthivel,et al.  Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay , 2013 .

[35]  Yong Zhou,et al.  Existence and multiplicity results of homoclinic solutions for fractional Hamiltonian systems , 2017, Comput. Math. Appl..

[36]  Dumitru Baleanu,et al.  Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems , 2011, Comput. Math. Appl..

[37]  Yong Zhou,et al.  On the time-fractional Navier-Stokes equations , 2017, Comput. Math. Appl..

[38]  A. Luo,et al.  Fractional Dynamics and Control , 2011 .

[39]  Hernán R. Henríquez,et al.  Periodic solutions of abstract functional differential equations with state‐dependent delay , 2016 .

[40]  Zuomao Yan,et al.  Approximate controllability of fractional neutral integro-differential inclusions with state-dependent delay in Hilbert spaces , 2013, IMA J. Math. Control. Inf..