TY - JOUR AU - Byszewski, L. PY - 1991 DA - 1991// TI - Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem JO - J. Math. Anal. Appl. VL - 162 UR - https://doi.org/10.1016/0022-247X(91)90164-U DO - 10.1016/0022-247X(91)90164-U ID - Byszewski1991 ER - TY - JOUR AU - Aizicovici, S. AU - Gao, Y. PY - 1997 DA - 1997// TI - Functional differential equations with nonlocal initial conditions JO - J. Math. Anal. Appl. VL - 10 ID - Aizicovici1997 ER - TY - JOUR AU - Liu, J. H. PY - 2003 DA - 2003// TI - A remark on the mild solutions of non-local evolution equations JO - Semigroup Forum VL - 66 UR - https://doi.org/10.1007/s002330010158 DO - 10.1007/s002330010158 ID - Liu2003 ER - TY - JOUR AU - Balachandran, K. AU - Park, J. Y. PY - 2009 DA - 2009// TI - Nonlocal Cauchy problem for abstract fractional semilinear evolution equations JO - Nonlinear Anal. VL - 71 UR - https://doi.org/10.1016/j.na.2009.03.005 DO - 10.1016/j.na.2009.03.005 ID - Balachandran2009 ER - TY - JOUR AU - Balachandran, K. AU - Trujillo, J. J. PY - 2010 DA - 2010// TI - The nonlocal Cauchy problem for nonlinear fractional integro-differential equations in Banach spaces JO - Nonlinear Anal. VL - 72 UR - https://doi.org/10.1016/j.na.2010.02.035 DO - 10.1016/j.na.2010.02.035 ID - Balachandran2010 ER - TY - JOUR AU - Zhou, Y. AU - Jiao, F. PY - 2010 DA - 2010// TI - Nonlocal Cauchy problem for fractional evolution equations JO - Nonlinear Anal. VL - 11 UR - https://doi.org/10.1016/j.nonrwa.2010.05.029 DO - 10.1016/j.nonrwa.2010.05.029 ID - Zhou2010 ER - TY - JOUR AU - Zhou, Y. AU - Jiao, F. PY - 2010 DA - 2010// TI - Existence of mild solutions for fractional neutral evolution equations JO - Comput. Math. Appl. VL - 59 UR - https://doi.org/10.1016/j.camwa.2009.06.026 DO - 10.1016/j.camwa.2009.06.026 ID - Zhou2010 ER - TY - JOUR AU - Diagana, T. AU - Mophou, G. M. AU - N’Guérékata, G. M. PY - 2010 DA - 2010// TI - On the existence of mild solutions to some semilinear fractional integro-differential equations JO - Electron. J. Qual. Theory Differ. Equ. VL - 2010 ID - Diagana2010 ER - TY - JOUR AU - Debbouche, A. AU - Nieto, J. J. PY - 2014 DA - 2014// TI - Sobolev type fractional abstract evolution equations with nonlocal conditions and optimal multi-controls JO - Appl. Math. Comput. VL - 245 ID - Debbouche2014 ER - TY - JOUR AU - Yang, M. AU - Wang, Q. R. PY - 2017 DA - 2017// TI - Existence of mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions JO - Fract. Calc. Appl. Anal. VL - 20 ID - Yang2017 ER - TY - JOUR AU - Chen, P. Y. AU - Zhang, X. P. AU - Li, Y. X. PY - 2019 DA - 2019// TI - Fractional non-autonomous evolution equation with nonlocal conditions JO - J. Pseudo-Differ. Oper. Appl. VL - 10 UR - https://doi.org/10.1007/s11868-018-0257-9 DO - 10.1007/s11868-018-0257-9 ID - Chen2019 ER - TY - JOUR AU - Chen, P. Y. AU - Li, Y. X. PY - 2018 DA - 2018// TI - A blow up alternative result for fractional nonautonomous evolution equation of Volterra type JO - Commun. Pure Appl. Anal. VL - 17 UR - https://doi.org/10.3934/cpaa.2018094 DO - 10.3934/cpaa.2018094 ID - Chen2018 ER - TY - JOUR AU - Chen, P. Y. AU - Zhang, X. P. AU - Li, Y. X. PY - 2017 DA - 2017// TI - Study on fractional non-autonomous evolution equations with delay JO - Comput. Math. Appl. VL - 73 UR - https://doi.org/10.1016/j.camwa.2017.01.009 DO - 10.1016/j.camwa.2017.01.009 ID - Chen2017 ER - TY - JOUR AU - Liang, J. AU - Liu, J. AU - Xiao, T. J. PY - 2004 DA - 2004// TI - Nonlocal Cauchy problems governed by compact operator families JO - Nonlinear Anal. VL - 57 UR - https://doi.org/10.1016/j.na.2004.02.007 DO - 10.1016/j.na.2004.02.007 ID - Liang2004 ER - TY - JOUR AU - Mahmudov, N. I. PY - 2018 DA - 2018// TI - Finite-approximate controllability of fractional evolution equations: variational approach JO - Fract. Calc. Appl. Anal. VL - 21 UR - https://doi.org/10.1515/fca-2018-0050 DO - 10.1515/fca-2018-0050 ID - Mahmudov2018 ER - TY - JOUR AU - Dauer, J. P. AU - Mahmudov, N. I. PY - 2002 DA - 2002// TI - Approximate controllability of semilinear functional equations in Hilbert spaces JO - J. Math. Anal. Appl. VL - 273 UR - https://doi.org/10.1016/S0022-247X(02)00225-1 DO - 10.1016/S0022-247X(02)00225-1 ID - Dauer2002 ER - TY - JOUR AU - Mahmudov, N. I. PY - 2008 DA - 2008// TI - Approximate controllability of evolution systems with nonlocal conditions JO - Nonlinear Anal. VL - 68 UR - https://doi.org/10.1016/j.na.2006.11.018 DO - 10.1016/j.na.2006.11.018 ID - Mahmudov2008 ER - TY - JOUR AU - Sukavanam, N. AU - Kumar, S. PY - 2011 DA - 2011// TI - Approximate controllability of fractional order semilinear delay systems JO - J. Optim. Theory Appl. VL - 151 UR - https://doi.org/10.1007/s10957-011-9905-4 DO - 10.1007/s10957-011-9905-4 ID - Sukavanam2011 ER - TY - JOUR AU - Sakthivel, R. AU - Ren, Y. AU - Mahmudov, N. I. PY - 2011 DA - 2011// TI - On the approximate controllability of semilinear fractional differential systems JO - Comput. Math. Appl. VL - 62 UR - https://doi.org/10.1016/j.camwa.2011.04.040 DO - 10.1016/j.camwa.2011.04.040 ID - Sakthivel2011 ER - TY - JOUR AU - Mahmudov, N. I. AU - Zorlu, S. PY - 2014 DA - 2014// TI - On the approximate controllability of fractional evolution equations with compact analytic semigroup JO - J. Comput. Appl. Math. VL - 259 UR - https://doi.org/10.1016/j.cam.2013.06.015 DO - 10.1016/j.cam.2013.06.015 ID - Mahmudov2014 ER - TY - JOUR AU - Ge, F. D. AU - Zhou, H. C. AU - Kou, C. H. PY - 2016 DA - 2016// TI - Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique JO - Appl. Math. Comput. VL - 275 ID - Ge2016 ER - TY - JOUR AU - Tai, Z. X. AU - Wang, X. C. PY - 2009 DA - 2009// TI - Controllability of fractional-order impulsive neutral functional infinite delay integro-differential systems in Banach spaces JO - Appl. Math. Lett. VL - 22 UR - https://doi.org/10.1016/j.aml.2009.06.017 DO - 10.1016/j.aml.2009.06.017 ID - Tai2009 ER - TY - JOUR AU - Liang, J. AU - Yang, H. PY - 2015 DA - 2015// TI - Controllability of fractional integro-differential evolution equations with nonlocal conditions JO - Appl. Math. Comput. VL - 254 ID - Liang2015 ER - TY - JOUR AU - Sakthivel, R. AU - Mahmudov, N. I. AU - Nieto, J. J. PY - 2012 DA - 2012// TI - Controllability for a class of fractional-order neutral evolution control systems JO - Appl. Math. Comput. VL - 218 ID - Sakthivel2012 ER - TY - JOUR AU - Yang, H. AU - Agarwal, R. P. AU - Liang, Y. PY - 2017 DA - 2017// TI - Controllability for a class of integro-differential evolution equations involving non-local initial conditions JO - Int. J. Control VL - 90 UR - https://doi.org/10.1080/00207179.2016.1260161 DO - 10.1080/00207179.2016.1260161 ID - Yang2017 ER - TY - JOUR AU - Balasubramaniam, P. AU - Tamilalagan, P. PY - 2017 DA - 2017// TI - The solvability and optimal controls for impulsive fractional stochastic integro-differential equations via resolvent operators JO - J. Optim. Theory Appl. VL - 174 UR - https://doi.org/10.1007/s10957-016-0865-6 DO - 10.1007/s10957-016-0865-6 ID - Balasubramaniam2017 ER - TY - JOUR AU - Mahmudov, N. I. AU - Denker, A. PY - 2000 DA - 2000// TI - On controllability of linear stochastic systems JO - Int. J. Control VL - 73 UR - https://doi.org/10.1080/002071700219849 DO - 10.1080/002071700219849 ID - Mahmudov2000 ER - TY - JOUR AU - Sakthivel, R. AU - Suganya, S. AU - Anthoni, S. M. PY - 2012 DA - 2012// TI - Approximate controllability of fractional stochastic evolution equations JO - Comput. Math. Appl. VL - 63 UR - https://doi.org/10.1016/j.camwa.2011.11.024 DO - 10.1016/j.camwa.2011.11.024 ID - Sakthivel2012 ER - TY - JOUR AU - Dauer, J. P. AU - Mahmudov, N. I. PY - 2004 DA - 2004// TI - Controllability of stochastic semilinear functional differential equations in Hilbert spaces JO - J. Math. Anal. Appl. VL - 290 UR - https://doi.org/10.1016/j.jmaa.2003.09.069 DO - 10.1016/j.jmaa.2003.09.069 ID - Dauer2004 ER - TY - JOUR AU - Muthukumar, P. AU - Rajivganthi, C. PY - 2013 DA - 2013// TI - Approximate controllability of fractional order neutral stochastic integro-differential system with nonlocal conditions and infinite delay JO - Taiwan. J. Math. VL - 17 UR - https://doi.org/10.11650/tjm.17.2013.2743 DO - 10.11650/tjm.17.2013.2743 ID - Muthukumar2013 ER - TY - JOUR AU - Farahi, S. AU - Guendouzi, T. PY - 2014 DA - 2014// TI - Approximate controllability of fractional neutral stochastic evolution equations with nonlocal conditions JO - Results Math. VL - 65 UR - https://doi.org/10.1007/s00025-013-0362-2 DO - 10.1007/s00025-013-0362-2 ID - Farahi2014 ER - TY - JOUR AU - Chen, P. Y. AU - Zhang, X. P. AU - Li, Y. X. PY - 2020 DA - 2020// TI - Approximate controllability of non-autonomous evolution system with nonlocal conditions JO - J. Dyn. Control Syst. VL - 26 UR - https://doi.org/10.1007/s10883-018-9423-x DO - 10.1007/s10883-018-9423-x ID - Chen2020 ER - TY - JOUR AU - El-Borai, M. M. AU - Moustafa, O. L. AU - Ahmed, H. M. PY - 2003 DA - 2003// TI - Asymptotic stability of some stochastic evolution equations JO - Appl. Math. Comput. VL - 144 ID - El-Borai2003 ER - TY - JOUR AU - Chen, P. Y. AU - Zhang, X. P. AU - Li, Y. X. PY - 2016 DA - 2016// TI - Nonlocal problem for fractional stochastic evolution equations with solution operators JO - Fract. Calc. Appl. Anal. VL - 19 ID - Chen2016 ER - TY - JOUR AU - Chen, P. Y. AU - Li, Y. X. AU - Zhang, X. P. PY - 2015 DA - 2015// TI - On the initial value problem of fractional stochastic evolution equations in Hilbert spaces JO - Commun. Pure Appl. Anal. VL - 14 UR - https://doi.org/10.3934/cpaa.2015.14.1817 DO - 10.3934/cpaa.2015.14.1817 ID - Chen2015 ER - TY - JOUR AU - Taniguchi, T. AU - Liu, K. AU - Truman, A. PY - 2002 DA - 2002// TI - Existence, uniqueness and asymptotic behavior of mild solutions to stochastic functional differential equations in Hilbert spaces JO - J. Differ. Equ. VL - 181 UR - https://doi.org/10.1006/jdeq.2001.4073 DO - 10.1006/jdeq.2001.4073 ID - Taniguchi2002 ER - TY - BOOK AU - Mao, X. PY - 1997 DA - 1997// TI - Stochastic Differential Equations and Their Applications PB - Horwood CY - Chichester ID - Mao1997 ER - TY - JOUR AU - Sakthivel, R. AU - Revathi, P. AU - Ren, Y. PY - 2013 DA - 2013// TI - Existence of solutions for nonlinear fractional stochastic differential equations JO - Nonlinear Anal. VL - 81 UR - https://doi.org/10.1016/j.na.2012.10.009 DO - 10.1016/j.na.2012.10.009 ID - Sakthivel2013 ER - TY - BOOK AU - Prato, G. AU - Zabczyk, J. PY - 1992 DA - 1992// TI - Stochastic Equations in Infinite Dimensions PB - Cambridge University Press CY - Cambridge UR - https://doi.org/10.1017/CBO9780511666223 DO - 10.1017/CBO9780511666223 ID - Prato1992 ER - TY - JOUR AU - Curtain, R. F. AU - Falb, P. L. PY - 1971 DA - 1971// TI - Stochastic differential equations in Hilbert space JO - J. Differ. Equ. VL - 10 UR - https://doi.org/10.1016/0022-0396(71)90004-0 DO - 10.1016/0022-0396(71)90004-0 ID - Curtain1971 ER - TY - BOOK AU - Kilbas, A. A. AU - Srivastava, H. M. AU - Trujillo, J. J. PY - 2006 DA - 2006// TI - Theory and Applications of Fractional Differential Equations PB - Elsevier CY - Amsterdam ID - Kilbas2006 ER -