Heping MA , Biu LIU . EXACT CONTROLLABILITY AND CONTINUOUS DEPENDENCE OF FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY[J]. Acta mathematica scientia, Series B, 2017 , 37(1) : 235 -258 . DOI: 10.1016/S0252-9602(16)30128-X

[1] Agarwal R P, de Andrade B, Siracusa G. On fractional integro-differential equations with state-dependent delay. Comput Math Appl, 2011, 62(3):1143-1149
[2] Agarwal R P, dos Santos J P C, Cuevas C. Analytic resolvent operator and existence results for fractional integro-differential equations. J Abstr Differ Equ Appl, 2012, 2(2):26-47
[3] Ahmed H M. Controllability of fractional stochastic delay equations. Lobachevskii J Math, 2009, 30(3):195-202
[4] Balachandran K, Park J Y. Controllability of fractional integrodifferential systems in Banach spaces. Nonlinear Anal Hybird Syst, 2009, 3(4):363-367
[5] Balachandran K, Park J Y, Trujillo J J. Controllability of nonlinear fractional dynamical systems. Nonlinear Anal, 2012, 75(4):1919-1926
[6] Balasubramaniam P, Ntouyas S K. Controllability for neutral stochastic functional differential inclusions with infinite delay in abstract space. J Math Anal Appl, 2006, 324(1):161-176
[7] Darwish M A, Ntouyas S K. Functional differential equations of fractional order with state-dependent delay. Dynam Syst Appl, 2009, 18(3):539-550
[8] Das S, Pandey D, Sukavanam N. Existence of solution and approximate controllability of a second-order neutral stochastic differential equation with state dependent delay. Acta Math Sci, 2016, 36B(5):1509-1523
[9] de Andrade B, dos Santos J P C. Existence of solutions for a fractional neutral integro-differential equation with unbounded delay. Electron J Differ Equ, 2012, 2012(90):1-13
[10] dos Santos J P C, Arjunan M M, Cuevas C. Existence results for fractional neutral integro-differential equations with state-dependent delay. Comput Math Appl, 2011, 62(3):1275-1283
[11] dos Santos J P C, Cuevas C, de Andrade B. Existence results for a fractional equation with state-dependent delay. Adv Differ Equ, 2011, 2011(1):1-15
[12] Guendouzi T, Benzatout O. Existence of mild solutions for impulsive fractional stochastic differential inclusions with state-dependent delay. Chin J Math, 2014, 2014:1-13
[13] Hale J, Kato J. Phase space for retarded equations with infinite delay. Funk Ekvac, 1978, 21(1):11-41
[14] Hino Y, Murakami S, Naito T. Functional Differential Equations with Infinite Delay. Berlin:Springer, 1991
[15] Kilbas A A, Srivastava H M, Trujillo J J. Theory and applications of fractional differential equations. Amsterdam:Elsevier Science B V, 2006
[16] Kumar S, Sukavanam N. Approximate controllability of fractional order semilinear systems with bounded delay. J Differ Equ, 2012, 252(11):6163-6174
[17] Li K, Peng J. Controllability of nonlocal fractional differential systems of order 2(1, 2] in Banach spaces. Rep Math Phys, 2013, 71(1):33-43
[18] Li K, Peng J. Controllability of fractional neutral stochastic functional differential systems. Z Angew Math Phs, 2014, 65(5):941-959
[19] Mahmudov N I, Denker A. On controllability of linear stochastic systems. Int J Control, 2000, 73(2):144-151
[20] Marle C M. Mesures et Probabilities. Paris:Hermam, 1974
[21] Martin R H. Nonlinear Operators and Differential Equations in Banach Spaces. Florida:Robert E Krieger Publ Co, 1987
[22] Miller K S, Ross B. An Introduction to the Fractional Calculus and Fractional Differential Equations. New York:John Wiley, 1993
[23] Mophou G M, N'Guérékata G M. Controllability of semilinear neutral fractional functional evolution equations with infinite delay. Nonlinear Stud, 2011, 18(2):195-209
[24] Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations, Applied Mathematical Sciences. Berlin:Springer, 1983
[25] Podlubny I. Fractional Differential Equations. San Diego:Academic Press, 1999
[26] Sakthivel R, Mahmudov N I, Nieto J J. Controllability for a class of fractional order neutral evolution control systems. Appl Math Comput, 2012, 218(20):10334-10340
[27] Sakthivel R, Ren Y. Approximate controllability of fractional differential equations with state-dependent delay. Results Math, 2013, 63(3/4):949-963
[28] Sakthivel R, Ren Y, Mahmudov N I. On the approximate controllability of semilinear fractional differential systems. Comput Math Appl, 2011, 62(3):1451-1459
[29] Sakthivel R, Suganya S, Anthoni S M. Approximate controllability of fractional stochastic evolution equations. Comput Math Appl, 2012, 63(3):660-668
[30] Smart D R. Fixed Point Theorem. London:Cambridge University Press, 1974
[31] Vijayakumar V, Ravichandran C, Murugesu R. Approximate controllability for a class of fractional neutral integro-differential inclusions with state-dependent delay. Nonlinear Stud, 2013, 20(4):513-532
[32] Vijayakumar V, Selvakumar A, Murugesu R. Controllability for a class of fractional neutral integro-differential equations with unbounded delay. Appl Math Comput, 2014, 232:303-312
[33] Yan Z M. Controllability of fractional order partial neutral functional integrodifferential inclusions with infinite delay. J Franklin Inst, 2011, 348(8):2156-2173
[34] Yan Z M. Approximate controllability of partial neutral functional differential systems of fractional order with state-dependent delay. Int J Control, 2012, 85(8):1051-1062
[35] Yan Z M. Approximate controllability of fractional neutral integro-differential inclusions with state-dependent delay in Hilbert spaces. IMA J Math Control Inf, 2013, 30(4):443-462
[36] Yan Z M, Jia X M. Approximate controllability of partial fractional neutral stochastic functional integro-differential inclusions with state-dependent delay. Collect Math, 2015, 66(1):93-124
[37] Yan Z M, Zhang H. Existence of impulsive fractional partial neutral stochastic integro-differential inclusions with state-dependent delay in Hilbert spaces. Electron. J Differ Equ, 2013, 2013(81):1-21
[38] Ye H P, Gao J M, Ding Y S. A generalized Gronwall inequality and its applications to a fractional differential equation. J Math Anal Appl, 2007, 328(2):1075-1081
[39] Zhang X Z, Zhu C X, Yuan C G. Approximate controllability of impulsive fractional stochastic differential equations with state-dependent delay. Adv Differ Equ, 2015, 2015(1):1-12