메뉴 건너뛰기




Volumn 2013, Issue , 2013, Pages

Complete controllability of fractional neutral differential systems in abstract space

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84874845625     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/2013/529025     Document Type: Article
Times cited : (10)

References (42)
  • 3
    • 0030867045 scopus 로고    scopus 로고
    • Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids
    • Rossikhin Y. A., Shitikova M. V., Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids. Applied Mechanics Reviews 1997 50 1 15 67 2-s2.0-0030867045 (Pubitemid 127645586)
    • (1997) Applied Mechanics Reviews , vol.50 , Issue.1 , pp. 15-67
    • Rossikhin, Y.A.1    Shitikova, M.V.2
  • 4
    • 17844372193 scopus 로고    scopus 로고
    • Recent applications of fractional calculus to science and engineering
    • DOI 10.1155/S0161171203301486
    • Debnath L., Recent applications of fractional calculus to science and engineering. International Journal of Mathematics and Mathematical Sciences 2003 2003 54 3413 3442 10.1155/S0161171203301486 2025566 ZBL1036.26004 (Pubitemid 40588053)
    • (2003) International Journal of Mathematics and Mathematical Sciences , vol.2003 , Issue.54 , pp. 3413-3442
    • Debnath, L.1
  • 11
    • 84860326284 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions for a nonlinear fractional differential equation
    • 10.1007/s12190-011-0509-9 2914462
    • Wang F., Existence and uniqueness of solutions for a nonlinear fractional differential equation. Journal of Applied Mathematics and Computing 2012 39 1-2 53 67 10.1007/s12190-011-0509-9 2914462
    • (2012) Journal of Applied Mathematics and Computing , vol.39 , Issue.1-2 , pp. 53-67
    • Wang, F.1
  • 12
    • 84867784396 scopus 로고    scopus 로고
    • Analysis of a system for linear fractional equaitons
    • 193061
    • Wang F., Liu Z. H., Wang P., Analysis of a system for linear fractional equaitons. Journal of Applied Mathematics 2012 2012 21 193061
    • (2012) Journal of Applied Mathematics , vol.2012 , pp. 21
    • Wang, F.1    Liu, Z.H.2    Wang, P.3
  • 13
    • 84871337612 scopus 로고    scopus 로고
    • Anti-periodic fractional boundary value problems for nonlinear differential equations of fractional order
    • Wang F., Liu Z. H., Anti-periodic fractional boundary value problems for nonlinear differential equations of fractional order. Advances in Difference Equation 2012 2012, artilce 116 12
    • (2012) Advances in Difference Equation , pp. 12
    • Wang, F.1    Liu, Z.H.2
  • 14
    • 67650110018 scopus 로고    scopus 로고
    • A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
    • 981728 2505633 ZBL1182.34103
    • Agarwal R. P., Belmekki M., Benchohra M., A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative. Advances in Difference Equations 2009 2009 47 981728 2505633 ZBL1182.34103
    • (2009) Advances in Difference Equations , vol.2009 , pp. 47
    • Agarwal, R.P.1    Belmekki, M.2    Benchohra, M.3
  • 15
    • 0036680930 scopus 로고    scopus 로고
    • Some probability densities and fundamental solutions of fractional evolution equations
    • DOI 10.1016/S0960-0779(01)00208-9, PII S0960077901002089
    • El-Borai M. M., Some probability densities and fundamental solutions of fractional evolution equations. Chaos, Solitons and Fractals 2002 14 3 433 440 10.1016/S0960-0779(01)00208-9 1903295 ZBL1005.34051 (Pubitemid 34182465)
    • (2002) Chaos, Solitons and Fractals , vol.14 , Issue.3 , pp. 433-440
    • El-Borai, M.M.1
  • 16
    • 77955515765 scopus 로고    scopus 로고
    • Nonlocal Cauchy problem for fractional evolution equations
    • 10.1016/j.nonrwa.2010.05.029 2683890
    • Zhou Y., Jiao F., Nonlocal Cauchy problem for fractional evolution equations. Nonlinear Analysis: Real World Applications 2010 11 5 4465 4475 10.1016/j.nonrwa.2010.05.029 2683890
    • (2010) Nonlinear Analysis: Real World Applications , vol.11 , Issue.5 , pp. 4465-4475
    • Zhou, Y.1    Jiao, F.2
  • 17
    • 0035869874 scopus 로고    scopus 로고
    • Controllability of functional semilinear integrodifferential systems in Banach spaces
    • DOI 10.1006/jmaa.2000.7234, PII S0022247X00972342
    • Balachandran K., Sakthivel R., Controllability of functional semilinear integrodifferential systems in Banach spaces. Journal of Mathematical Analysis and Applications 2001 255 2 447 457 10.1006/jmaa.2000.7234 1815792 ZBL0982.93018 (Pubitemid 33377561)
    • (2001) Journal of Mathematical Analysis and Applications , vol.255 , Issue.2 , pp. 447-457
    • Balachandran, K.1    Sakthivel, R.2
  • 18
    • 84874903474 scopus 로고    scopus 로고
    • Controllability of neurtal functional integrodifferential infinite delay systems in Banach spaces
    • Balachanadran K., Anandhi E. R., Controllability of neurtal functional integrodifferential infinite delay systems in Banach spaces. Nonlinear Analysis 2005 61 405 423
    • (2005) Nonlinear Analysis , vol.61 , pp. 405-423
    • Balachanadran, K.1    Anandhi, E.R.2
  • 19
    • 84862787593 scopus 로고    scopus 로고
    • Complete controllability of fractional evolution systems
    • 10.1016/j.cnsns.2012.02.029
    • Wang J. R., Zhou Y., Complete controllability of fractional evolution systems. Communications in Nonlinear Science and Numerical Simulation 2012 17 11 4346 4355 10.1016/j.cnsns.2012.02.029
    • (2012) Communications in Nonlinear Science and Numerical Simulation , vol.17 , Issue.11 , pp. 4346-4355
    • Wang, J.R.1    Zhou, Y.2
  • 20
    • 84862793261 scopus 로고    scopus 로고
    • Nonlocal controllability of semilinear dynamic systems with fractional derivative in Banach spaces
    • 10.1007/s10957-012-9999-3
    • Wang J. R., Fan Z., Zhou Y., Nonlocal controllability of semilinear dynamic systems with fractional derivative in Banach spaces. Journal of Optimization Theory and Applications 2012 154 1 292 302 10.1007/s10957-012-9999- 3
    • (2012) Journal of Optimization Theory and Applications , vol.154 , Issue.1 , pp. 292-302
    • Wang, J.R.1    Fan, Z.2    Zhou, Y.3
  • 21
    • 77958009389 scopus 로고    scopus 로고
    • A class of fractional evolution equations and optimal controls
    • 10.1016/j.nonrwa.2010.06.013 2728679 ZBL1214.34010
    • Wang J., Zhou Y., A class of fractional evolution equations and optimal controls. Nonlinear Analysis: Real World Applications 2011 12 1 262 272 10.1016/j.nonrwa.2010.06.013 2728679 ZBL1214.34010
    • (2011) Nonlinear Analysis: Real World Applications , vol.12 , Issue.1 , pp. 262-272
    • Wang, J.1    Zhou, Y.2
  • 22
    • 79955979032 scopus 로고    scopus 로고
    • A class of fractional delay nonlinear integrodifferential controlled systems in Banach spaces
    • 10.1016/j.cnsns.2011.02.003 2802711 ZBL1223.45007
    • Wang J., Zhou Y., Wei W., A class of fractional delay nonlinear integrodifferential controlled systems in Banach spaces. Communications in Nonlinear Science and Numerical Simulation 2011 16 10 4049 4059 10.1016/j.cnsns.2011.02.003 2802711 ZBL1223.45007
    • (2011) Communications in Nonlinear Science and Numerical Simulation , vol.16 , Issue.10 , pp. 4049-4059
    • Wang, J.1    Zhou, Y.2    Wei, W.3
  • 23
    • 80051576826 scopus 로고    scopus 로고
    • Analysis of nonlinear fractional control systems in Banach spaces
    • 10.1016/j.na.2011.05.059 2833364 ZBL1223.93059
    • Wang J., Zhou Y., Analysis of nonlinear fractional control systems in Banach spaces. Nonlinear Analysis: Theory, Methods and Applications A 2011 74 17 5929 5942 10.1016/j.na.2011.05.059 2833364 ZBL1223.93059
    • (2011) Nonlinear Analysis: Theory, Methods and Applications A , vol.74 , Issue.17 , pp. 5929-5942
    • Wang, J.1    Zhou, Y.2
  • 24
    • 84861182836 scopus 로고    scopus 로고
    • Controllability for a class of fractional-order neutral evolution control systems
    • 10.1016/j.amc.2012.03.093 2921786 ZBL1245.93022
    • Sakthivel R., Mahmudov N. I., Nieto Juan. J., Controllability for a class of fractional-order neutral evolution control systems. Applied Mathematics and Computation 2012 218 20 10334 10340 10.1016/j.amc.2012.03.093 2921786 ZBL1245.93022
    • (2012) Applied Mathematics and Computation , vol.218 , Issue.20 , pp. 10334-10340
    • Sakthivel, R.1    Mahmudov, N.I.2    Nieto, Juan.J.3
  • 25
    • 79251601096 scopus 로고    scopus 로고
    • Controllability of impulsive neutral stochastic functional differential inclusions with infinite delay
    • 10.1016/j.cam.2010.10.051 2763171 ZBL1211.93025
    • Ren Y., Hu L., Sakthivel R., Controllability of impulsive neutral stochastic functional differential inclusions with infinite delay. Journal of Computational and Applied Mathematics 2011 235 8 2603 2614 10.1016/j.cam.2010. 10.051 2763171 ZBL1211.93025
    • (2011) Journal of Computational and Applied Mathematics , vol.235 , Issue.8 , pp. 2603-2614
    • Ren, Y.1    Hu, L.2    Sakthivel, R.3
  • 26
    • 79960988377 scopus 로고    scopus 로고
    • On the approximate controllability of semilinear fractional differential systems
    • 10.1016/j.camwa.2011.04.040 2824732 ZBL1228.34093
    • Sakthivel R., Ren Y., Mahmudov N. I., On the approximate controllability of semilinear fractional differential systems. Computers and Mathematics with Applications 2011 62 3 1451 1459 10.1016/j.camwa.2011.04.040 2824732 ZBL1228.34093
    • (2011) Computers and Mathematics with Applications , vol.62 , Issue.3 , pp. 1451-1459
    • Sakthivel, R.1    Ren, Y.2    Mahmudov, N.I.3
  • 27
    • 84855542277 scopus 로고    scopus 로고
    • Approximate controllability of differential inclusions in Hilbert spaces
    • 10.1016/j.na.2011.10.049 2878467 ZBL1237.93030
    • Rykaczewski K., Approximate controllability of differential inclusions in Hilbert spaces. Nonlinear Analysis: Theory, Methods and Applications A 2012 75 5 2701 2712 10.1016/j.na.2011.10.049 2878467 ZBL1237.93030
    • (2012) Nonlinear Analysis: Theory, Methods and Applications A , vol.75 , Issue.5 , pp. 2701-2712
    • Rykaczewski, K.1
  • 28
    • 84855777932 scopus 로고    scopus 로고
    • Approximate controllability of fractional stochastic evolution equations
    • 10.1016/j.camwa.2011.11.024 2871665 ZBL1238.93099
    • Sakthivel R., Suganya S., Anthoni S. M., Approximate controllability of fractional stochastic evolution equations. Computers and Mathematics with Applications 2012 63 3 660 668 10.1016/j.camwa.2011.11.024 2871665 ZBL1238.93099
    • (2012) Computers and Mathematics with Applications , vol.63 , Issue.3 , pp. 660-668
    • Sakthivel, R.1    Suganya, S.2    Anthoni, S.M.3
  • 29
    • 84857464940 scopus 로고    scopus 로고
    • Complete controllability of stochastic evolution equations with jumps
    • 10.1016/S0034-4877(12)60003-2 2900843 ZBL1244.93028
    • Sakthivel R., Ren Y., Complete controllability of stochastic evolution equations with jumps. Reports on Mathematical Physics 2011 68 2 163 174 10.1016/S0034-4877(12)60003-2 2900843 ZBL1244.93028
    • (2011) Reports on Mathematical Physics , vol.68 , Issue.2 , pp. 163-174
    • Sakthivel, R.1    Ren, Y.2
  • 30
    • 43049133281 scopus 로고    scopus 로고
    • Controllability of mixed Volterra-Fredholm-type integro-differential inclusions in Banach spaces
    • 10.1016/j.jfranklin.2008.02.002 2419507 ZBL1167.93007
    • Chang Y.-K., Chalishajar D. N., Controllability of mixed Volterra-Fredholm-type integro-differential inclusions in Banach spaces. Journal of the Franklin Institute 2008 345 5 499 507 10.1016/j.jfranklin.2008.02.002 2419507 ZBL1167.93007
    • (2008) Journal of the Franklin Institute , vol.345 , Issue.5 , pp. 499-507
    • Chang, Y.-K.1    Chalishajar, D.N.2
  • 31
    • 0037420942 scopus 로고    scopus 로고
    • Controllability of neutral functional differential systems in abstract space
    • 10.1016/S0096-3003(02)00253-9 1972908 ZBL1175.93029
    • Fu X., Controllability of neutral functional differential systems in abstract space. Applied Mathematics and Computation 2003 141 2-3 281 296 10.1016/S0096-3003(02)00253-9 1972908 ZBL1175.93029
    • (2003) Applied Mathematics and Computation , vol.141 , Issue.2-3 , pp. 281-296
    • Fu, X.1
  • 32
    • 79952440066 scopus 로고    scopus 로고
    • Controllability of impulsive differential systems with nonlocal conditions
    • 10.1016/j.amc.2011.01.107 2775688 ZBL1219.93013
    • Ji S., Li G., Wang M., Controllability of impulsive differential systems with nonlocal conditions. Applied Mathematics and Computation 2011 217 16 6981 6989 10.1016/j.amc.2011.01.107 2775688 ZBL1219.93013
    • (2011) Applied Mathematics and Computation , vol.217 , Issue.16 , pp. 6981-6989
    • Ji, S.1    Li, G.2    Wang, M.3
  • 33
    • 79961166711 scopus 로고    scopus 로고
    • Controllability of fractional impulsive neutral integrodifferential systems with a nonlocal Cauchy condition in Banach spaces
    • 10.1016/j.aml.2011.06.018 2826156 ZBL1235.93046
    • Tai Z., Controllability of fractional impulsive neutral integrodifferential systems with a nonlocal Cauchy condition in Banach spaces. Applied Mathematics Letters 2011 24 12 2158 2161 10.1016/j.aml.2011.06.018 2826156 ZBL1235.93046
    • (2011) Applied Mathematics Letters , vol.24 , Issue.12 , pp. 2158-2161
    • Tai, Z.1
  • 34
    • 59849085018 scopus 로고    scopus 로고
    • Controllability of Volterra-Fredholm type systems in Banach spaces
    • 10.1016/j.jfranklin.2008.08.001 2499965 ZBL1160.93005
    • Hernández M. E., O'Regan D., Controllability of Volterra-Fredholm type systems in Banach spaces. Journal of the Franklin Institute 2009 346 2 95 101 10.1016/j.jfranklin.2008.08.001 2499965 ZBL1160.93005
    • (2009) Journal of the Franklin Institute , vol.346 , Issue.2 , pp. 95-101
    • Hernández, M.E.1    O'Regan, D.2
  • 35
    • 77956176473 scopus 로고    scopus 로고
    • On recent developments in the theory of abstract differential equations with fractional derivatives
    • 10.1016/j.na.2010.07.035 2680040 ZBL1229.34004
    • Hernández E., O'Regan D., Balachandran K., On recent developments in the theory of abstract differential equations with fractional derivatives. Nonlinear Analysis: Theory, Methods and Applications A 2010 73 10 3462 3471 10.1016/j.na.2010.07.035 2680040 ZBL1229.34004
    • (2010) Nonlinear Analysis: Theory, Methods and Applications A , vol.73 , Issue.10 , pp. 3462-3471
    • Hernández, E.1    O'Regan, D.2    Balachandran, K.3
  • 36
    • 74149093181 scopus 로고    scopus 로고
    • Existence of mild solutions for fractional neutral evolution equations
    • 10.1016/j.camwa.2009.06.026 2579471 ZBL1189.34154
    • Zhou Y., Jiao F., Existence of mild solutions for fractional neutral evolution equations. Computers and Mathematics with Applications 2010 59 3 1063 1077 10.1016/j.camwa.2009.06.026 2579471 ZBL1189.34154
    • (2010) Computers and Mathematics with Applications , vol.59 , Issue.3 , pp. 1063-1077
    • Zhou, Y.1    Jiao, F.2
  • 38
    • 0001954809 scopus 로고
    • On a fixed point principle
    • 0211302
    • Sadovski B. N., On a fixed point principle. Akademija Nauk SSSR 1967 1 2 74 76 0211302
    • (1967) Akademija Nauk SSSR , vol.1 , Issue.2 , pp. 74-76
    • Sadovski, B.N.1
  • 39
    • 84859313491 scopus 로고    scopus 로고
    • Remarks on Hausdorff measure and stability for the p -obstacle problem
    • 10.1007/s12044-012-0053-z 2909590
    • Zhao P., Zheng J., Remarks on Hausdorff measure and stability for the p -obstacle problem. Proceedings Mathematical Sciences 2012 122 1 129 137 10.1007/s12044-012-0053-z 2909590
    • (2012) Proceedings Mathematical Sciences , vol.122 , Issue.1 , pp. 129-137
    • Zhao, P.1    Zheng, J.2
  • 40
    • 0002513583 scopus 로고
    • Phase space for retarded equations with infinite delay
    • 0492721 ZBL0383.34055
    • Hale J. K., Kato J., Phase space for retarded equations with infinite delay. Funkcialaj Ekvacioj 1978 21 1 11 41 0492721 ZBL0383.34055
    • (1978) Funkcialaj Ekvacioj , vol.21 , Issue.1 , pp. 11-41
    • Hale, J.K.1    Kato, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.