메뉴 건너뛰기




Volumn 252, Issue 11, 2012, Pages 6163-6174

Approximate controllability of fractional order semilinear systems with bounded delay

Author keywords

Approximate controllability; Fractional order delay system; Infinite dimensional semilinear system; Mild solution; Reachable set

Indexed keywords


EID: 84862828893     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2012.02.014     Document Type: Article
Times cited : (218)

References (28)
  • 7
    • 67349206588 scopus 로고    scopus 로고
    • A fractional differential equation for a MEMS viscometer used in the oil industry
    • Fitt A.D., Goodwin A.R.H., Wakeham W.A. A fractional differential equation for a MEMS viscometer used in the oil industry. J. Comput. Appl. Math. 2009, 229:373-381.
    • (2009) J. Comput. Appl. Math. , vol.229 , pp. 373-381
    • Fitt, A.D.1    Goodwin, A.R.H.2    Wakeham, W.A.3
  • 9
    • 0028878140 scopus 로고
    • A fractional calculus approach of self-similar protein dynamics
    • Glockle W.G., Nonnenmacher T.F. A fractional calculus approach of self-similar protein dynamics. Biophys. J. 1995, 68:46-53.
    • (1995) Biophys. J. , vol.68 , pp. 46-53
    • Glockle, W.G.1    Nonnenmacher, T.F.2
  • 12
    • 79960984881 scopus 로고    scopus 로고
    • Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems
    • Debbouche A., Baleanu D. Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Comput. Math. Appl. 2011, 62:1442-1450.
    • (2011) Comput. Math. Appl. , vol.62 , pp. 1442-1450
    • Debbouche, A.1    Baleanu, D.2
  • 13
    • 70349510741 scopus 로고    scopus 로고
    • Controllability of fractional stochastic delay equations
    • Ahmed H.M. Controllability of fractional stochastic delay equations. Lobachevskii J. Math. 2009, 30(3):195-202.
    • (2009) Lobachevskii J. Math. , vol.30 , Issue.3 , pp. 195-202
    • Ahmed, H.M.1
  • 14
    • 70349226795 scopus 로고    scopus 로고
    • Controllability of fractional-order impulsive neutral functional infinite delay integrodifferential systems in Banach spaces
    • Tai Z., Wang X. Controllability of fractional-order impulsive neutral functional infinite delay integrodifferential systems in Banach spaces. Appl. Math. Lett. 2009, 22:1760-1765.
    • (2009) Appl. Math. Lett. , vol.22 , pp. 1760-1765
    • Tai, Z.1    Wang, X.2
  • 15
    • 80052593790 scopus 로고    scopus 로고
    • Controllability of fractional-order partial neutral functional integrodifferential inclusions with infinite delay
    • Yan Z. Controllability of fractional-order partial neutral functional integrodifferential inclusions with infinite delay. J. Franklin Inst. 2011, 348:2156-2173.
    • (2011) J. Franklin Inst. , vol.348 , pp. 2156-2173
    • Yan, Z.1
  • 16
    • 77951444807 scopus 로고    scopus 로고
    • Boundary controllability of nonlinear fractional integrodifferential systems
    • Article ID 279493
    • Ahmed H.M. Boundary controllability of nonlinear fractional integrodifferential systems. Adv. Difference Equ. 2010, 2010. Article ID 279493.
    • (2010) Adv. Difference Equ. , vol.2010
    • Ahmed, H.M.1
  • 17
    • 0001663379 scopus 로고
    • A note on the lack of exact controllability for mild solutions in Banach spaces
    • Triggiani R. A note on the lack of exact controllability for mild solutions in Banach spaces. SIAM J. Control Optim. 1977, 15:407-411.
    • (1977) SIAM J. Control Optim. , vol.15 , pp. 407-411
    • Triggiani, R.1
  • 18
    • 67649850960 scopus 로고    scopus 로고
    • Approximate controllability of semilinear delay control systems
    • Sukavanam N., Tomar N.K. Approximate controllability of semilinear delay control systems. Nonlinear Funct. Anal. Appl. 2007, 12(1):53-59.
    • (2007) Nonlinear Funct. Anal. Appl. , vol.12 , Issue.1 , pp. 53-59
    • Sukavanam, N.1    Tomar, N.K.2
  • 19
    • 80052794412 scopus 로고    scopus 로고
    • Approximate controllability of a delayed semilinear control system with growing nonlinear term
    • Sukavanam N., Tafesse S. Approximate controllability of a delayed semilinear control system with growing nonlinear term. Nonlinear Anal. 2011, 74:6868-6875.
    • (2011) Nonlinear Anal. , vol.74 , pp. 6868-6875
    • Sukavanam, N.1    Tafesse, S.2
  • 20
    • 0002234676 scopus 로고
    • Approximate controllability of semilinear control system with growing nonlinearity
    • Marcel Dekker, New York
    • Sukavanam N. Approximate controllability of semilinear control system with growing nonlinearity. Math. Theory of Control Proc. Int. Conf. 1993, 353-357. Marcel Dekker, New York.
    • (1993) Math. Theory of Control Proc. Int. Conf. , pp. 353-357
    • Sukavanam, N.1
  • 21
    • 0037727632 scopus 로고    scopus 로고
    • Approximate controllability for a class of abstract second-order functional evolution equations
    • Mckibben M.A. Approximate controllability for a class of abstract second-order functional evolution equations. J. Optim. Theory Appl. 2003, 117(2):397-414.
    • (2003) J. Optim. Theory Appl. , vol.117 , Issue.2 , pp. 397-414
    • Mckibben, M.A.1
  • 22
    • 56049097245 scopus 로고    scopus 로고
    • Approximate controllability of second-order distributed implicit functional systems
    • Henríquez H.R., Hernández M E. Approximate controllability of second-order distributed implicit functional systems. Nonlinear Anal. 2009, 70:1023-1039.
    • (2009) Nonlinear Anal. , vol.70 , pp. 1023-1039
    • Henríquez, H.R.1    Hernández M, E.2
  • 23
    • 79960988377 scopus 로고    scopus 로고
    • On the approximate controllability of semilinear fractional differential systems
    • Sakthivel R., Ren Y., Mahmudov N.I. On the approximate controllability of semilinear fractional differential systems. Comput. Math. Appl. 2011, 62:1451-1459.
    • (2011) Comput. Math. Appl. , vol.62 , pp. 1451-1459
    • Sakthivel, R.1    Ren, Y.2    Mahmudov, N.I.3
  • 24
    • 80255140373 scopus 로고    scopus 로고
    • Approximate controllability of fractional order semilinear delay systems
    • Sukavanam N., Kumar S. Approximate controllability of fractional order semilinear delay systems. J. Optim. Theory Appl. 2011, 151(2):373-384.
    • (2011) J. Optim. Theory Appl. , vol.151 , Issue.2 , pp. 373-384
    • Sukavanam, N.1    Kumar, S.2
  • 25
    • 0023347462 scopus 로고
    • Controllability of semilinear control systems dominated by the linear part
    • Naito K. Controllability of semilinear control systems dominated by the linear part. SIAM J. Control Optim. 1987, 25(3):715-722.
    • (1987) SIAM J. Control Optim. , vol.25 , Issue.3 , pp. 715-722
    • Naito, K.1
  • 26
    • 74149093181 scopus 로고    scopus 로고
    • Existence of mild solutions for fractional neutral evolution equations
    • Zhou Y., Jiao F. Existence of mild solutions for fractional neutral evolution equations. Comput. Math. Appl. 2010, 59:1063-1077.
    • (2010) Comput. Math. Appl. , vol.59 , pp. 1063-1077
    • Zhou, Y.1    Jiao, F.2
  • 27
    • 77956921557 scopus 로고    scopus 로고
    • S-controllability of an abstract first order semilinear control system
    • Sukavanam N., Kumar Mohit S-controllability of an abstract first order semilinear control system. Numer. Funct. Anal. Optim. 2010, 31(9):1023-1034.
    • (2010) Numer. Funct. Anal. Optim. , vol.31 , Issue.9 , pp. 1023-1034
    • Sukavanam, N.1    Kumar, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.