Controllability of Impulsive Fractional Integro-Differential Evolution Equations

[1]  R. Agarwal,et al.  A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions , 2010 .

[2]  Melvin L Heard,et al.  A semilinear parabolic Volterra integrodifferential equation , 1988 .

[3]  Yonghong Wu,et al.  Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations , 2017 .

[4]  Rathinasamy Sakthivel,et al.  Controllability for a class of fractional-order neutral evolution control systems , 2012, Appl. Math. Comput..

[5]  D. Pandey,et al.  Controllability of second‐order Sobolev‐type impulsive delay differential systems , 2019, Mathematical Methods in the Applied Sciences.

[6]  Eduardo Hernández Morales,et al.  Controllability of Volterra-Fredholm type systems in Banach spaces , 2009, J. Frankl. Inst..

[7]  Gaston M. N'Guérékata,et al.  On some classes of almost automorphic functions and applications to fractional differential equations , 2010, Comput. Math. Appl..

[8]  Carlos Lizama,et al.  Almost automorphic mild solutions to fractional differential equations , 2008 .

[9]  Nazim I. Mahmudov,et al.  On the approximate controllability of fractional evolution equations with compact analytic semigroup , 2014, J. Comput. Appl. Math..

[10]  K. Balachandran,et al.  Controllability of fractional integrodifferential systems in Banach spaces , 2009 .

[11]  Jin-Mun Jeong,et al.  Controllability for Semilinear Retarded Control Systems in Hilbert Spaces , 2007 .

[12]  He Yang,et al.  Controllability of fractional integro-differential evolution equations with nonlocal conditions , 2015, Appl. Math. Comput..

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

[14]  Xiao-Bao Shu,et al.  A study on the mild solution of impulsive fractional evolution equations , 2016, Appl. Math. Comput..

[15]  Jacky Cresson,et al.  Fractional differential equations and the Schrödinger equation , 2005, Appl. Math. Comput..

[16]  Abdelghani Ouahab,et al.  Controllability results for impulsive functional differential inclusions , 2004 .

[17]  G. Arthi,et al.  CONTROLLABILITY OF DAMPED SECOND-ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS WITH IMPULSES , 2012 .

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

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

[20]  H. Mönch,et al.  Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces , 1980 .

[21]  W. Ames,et al.  Nonlinear problems in abstract cones , 1988 .

[22]  Min Wang,et al.  Controllability of impulsive differential systems with nonlocal conditions , 2011, Appl. Math. Comput..

[23]  Dhirendra Bahuguna,et al.  Semilinear integro-differential equations with compact semigroups , 1998 .

[24]  X. Shu,et al.  UPPER AND LOWER SOLUTION METHOD FOR FRACTIONAL EVOLUTION EQUATIONS WITH ORDER 1 < α < 2 , 2014 .

[25]  Ju H. Park,et al.  On controllability of second-order impulsive neutral integrodifferential systems with infinite delay , 2015, IMA J. Math. Control. Inf..

[26]  Nagarajan Sukavanam,et al.  Approximate controllability of fractional order semilinear systems with bounded delay , 2012 .

[27]  Krishnan Balachandran,et al.  Approximate controllability of nonlinear stochastic impulsive integrodifferential systems in hilbert spaces , 2009 .

[28]  Rathinasamy Sakthivel,et al.  Controllability result for nonlinear evolution integrodifferential systems , 2004, Appl. Math. Lett..

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

[30]  Zhanbing Bai,et al.  Positive solutions for boundary value problem of nonlinear fractional differential equation , 2005 .

[31]  Ravi P. Agarwal,et al.  An existence result for a superlinear fractional differential equation , 2010, Appl. Math. Lett..

[32]  Yong-Kui Chang,et al.  Approximate controllability for fractional differential equations of sobolev type via properties on resolvent operators , 2017 .

[33]  Qianqian Wang,et al.  The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order 1 , 2012, Comput. Math. Appl..

[34]  M. El-Borai.  Some probability densities and fundamental solutions of fractional evolution equations , 2002 .

[35]  R. Sakthivel,et al.  Controllability of nonlinear neutral evolution integrodifferential systems , 2002 .

[36]  Xingcheng Wang,et al.  Controllability of fractional-order impulsive neutral functional infinite delay integrodifferential systems in Banach spaces , 2009, Appl. Math. Lett..

[37]  Rathinasamy Sakthivel,et al.  Approximate controllability of impulsive differential equations with state-dependent delay , 2010, Int. J. Control.

[38]  Mouffak Benchohra,et al.  Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions , 2009 .

[39]  V. Basov.  Invariant surfaces of standard two-dimensional systems with conservative first approximation of the third order , 2008 .

[40]  Rathinasamy Sakthivel,et al.  Existence and controllability result for semilinear evolution integrodifferential systems, , 2005, Math. Comput. Model..

[41]  Ravi P. Agarwal,et al.  On the solution set for a class of sequential fractional differential equations , 2010 .

[42]  Krishnan Balachandran,et al.  Controllability results for damped second-order impulsive neutral integrodifferential systems with nonlocal conditions , 2013 .

[43]  Rathinasamy Sakthivel,et al.  Controllability of integrodifferential systems in Banach spaces , 2001, Appl. Math. Comput..