Controllability of fractional-order impulsive neutral functional infinite delay integrodifferential systems in Banach spaces

Applied Mathematics Letters

Volumn 22, Issue 11, 2009, Pages 1760-1765

  Tai, Zhixin ^a   Wang, Xingcheng ^a  

^a DALIAN MARITIME UNIVERSITY   (China)

Author keywords

Controllability; Fixed points; Fractional integrodifferential systems

Indexed keywords

FIXED POINTS; FRACTIONAL CALCULUS; FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS; INFINITE DELAY; INTEGRO-DIFFERENTIAL SYSTEM; KRASNOSELSKII'S FIXED-POINT THEOREM; SEMIGROUP OF OPERATORS; SUFFICIENT CONDITIONS;

BANACH SPACES; TOPOLOGY;

CONTROLLABILITY;

EID: 70349226795     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2009.06.017     Document Type: Article

References (10)

1. Balachandran K., Park D.G., et al. Controllability of second-order integrodifferential evolution systems in Banach spaces. Computers and Mathematics with Applications 49 (2005) 1623-1642
2. Li M., Wang M., and Zhang F. Controllability of impulsive functional differential systems in Banach spaces. Chaos, Solitons and Fractals 29 (2006) 175-181
3. Balachandran K., Leelamani A., and Kim J.-H. Controllability of neutral functional evolution integrodifferential systems with infinite delay. IMA Journal of Mathematical Control and Information 25 (2008) 157-171
4. Park J.Y., et al. Controllability of impulsive neutral integrodifferential systems with infinite delay in Banach spaces. Nonlinear Analysis: Hybrid Systems (2008) 10.1016/j.nahs.2008.12.002
5. Balachandran K., and Park J.Y. Controllability of fractional integrodifferential systems in Banach spaces. Nonlinear Analysis: Hybrid Systems (2009) 10.1016/j.nahs.2009.01.014
6. Chang Y.K. Controllability of impulsive functional differential systems with infinite delay in Banach spaces. Chaos, Solitons and Fractals 33 (2007) 1601-1609
7. Bonilla B., Rivero M., Rodriguez-Germa L., and Trujillo J.J. Fractional differential equations as alternative models to nonlinear differential equations. Applied Mathematics and Computation 187 (2007) 79-88
8. El-Sayeed M.A.A. Fractional order diffusion wave equation. International Journal of Theoretical Physics 35 (1966) 311-322
9. Miller K.S., and Ross B. An Introduction to the Fractional Calculus and Fractional Differential Equations (1993), Wiley, New York
10. Smart D.R. Fixed Point Theorems (1980), Cambridge University Press, Cambridge