메뉴 건너뛰기




Volumn 69, Issue 11, 2008, Pages 3692-3705

Almost automorphic mild solutions to fractional differential equations

Author keywords

Almost automorphic function; Fractional derivative; Resolvent family; Semilinear differential equations

Indexed keywords

DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS);

EID: 53949107192     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.10.004     Document Type: Article
Times cited : (192)

References (25)
  • 2
    • 33845354119 scopus 로고    scopus 로고
    • 0-semigroups and solutions of linear and semilinear abstract differential equations
    • 0-semigroups and solutions of linear and semilinear abstract differential equations. Russ. J. Math. Phys. 13 1 (2006) 13-30
    • (2006) Russ. J. Math. Phys. , vol.13 , Issue.1 , pp. 13-30
    • Basit, B.1    Pryde, A.J.2
  • 3
    • 53949104233 scopus 로고    scopus 로고
    • E. Bazhlekova, Fractional evolution equations in Banach spaces, Ph.D. Thesis, Eindhoven University of Technology, 2001
    • E. Bazhlekova, Fractional evolution equations in Banach spaces, Ph.D. Thesis, Eindhoven University of Technology, 2001
  • 4
    • 33747673826 scopus 로고    scopus 로고
    • Almost automorphy of the convolution operator and applications to differential and functional differential equations
    • Bugajewski D., and Diagana T. Almost automorphy of the convolution operator and applications to differential and functional differential equations. Nonlinear Stud. 13 2 (2006) 129-140
    • (2006) Nonlinear Stud. , vol.13 , Issue.2 , pp. 129-140
    • Bugajewski, D.1    Diagana, T.2
  • 5
    • 53249107043 scopus 로고    scopus 로고
    • Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations
    • Cuesta E. Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations. Discrete Contin. Dyn. Sys. (Suppl.) (2007) 277-285
    • (2007) Discrete Contin. Dyn. Sys. (Suppl.) , pp. 277-285
    • Cuesta, E.1
  • 6
    • 2942564530 scopus 로고    scopus 로고
    • Some remarks on some second-order hyperbolic differential equations
    • Diagana T. Some remarks on some second-order hyperbolic differential equations. Semigroup Forum 68 (2004) 357-364
    • (2004) Semigroup Forum , vol.68 , pp. 357-364
    • Diagana, T.1
  • 7
    • 53249141916 scopus 로고    scopus 로고
    • Almost automorphic solutions to semilinear evolution equations
    • Diagana T., and N'Guérékata G.M. Almost automorphic solutions to semilinear evolution equations. Funct. Differ. Equ. 13 2 (2006) 195-206
    • (2006) Funct. Differ. Equ. , vol.13 , Issue.2 , pp. 195-206
    • Diagana, T.1    N'Guérékata, G.M.2
  • 8
    • 53949115946 scopus 로고
    • North-Holland, Amsterdam, New York, Oxford
    • Fattorini H.O. Second Order Linear Differential Equations in Banach Spaces. North-Holland Math. Studies vol. 108 (1985), North-Holland, Amsterdam, New York, Oxford
    • (1985) North-Holland Math. Studies , vol.108
    • Fattorini, H.O.1
  • 9
    • 23744495603 scopus 로고    scopus 로고
    • Almost automorphic solutions of semilinear evolution equations
    • Goldstein J.A., and N'Guérékata G.M. Almost automorphic solutions of semilinear evolution equations. Proc. Amer. Math. Soc. 133 8 (2005) 2401-2408
    • (2005) Proc. Amer. Math. Soc. , vol.133 , Issue.8 , pp. 2401-2408
    • Goldstein, J.A.1    N'Guérékata, G.M.2
  • 10
    • 0002847893 scopus 로고    scopus 로고
    • Fractional calculus: Integral and differential equations of fractional order
    • Carpinteri A., and Mainardi F. (Eds), Springer Verlag, Wien, New York
    • Gorenflo R., and Mainardi F. Fractional calculus: Integral and differential equations of fractional order. In: Carpinteri A., and Mainardi F. (Eds). Fractals and Fractional Calculus in Continuum Mechanics (1997), Springer Verlag, Wien, New York 223-276
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics , pp. 223-276
    • Gorenflo, R.1    Mainardi, F.2
  • 11
    • 0000145521 scopus 로고    scopus 로고
    • On Mittag-Leffler-type functions in fractional evolution processes
    • Gorenflo R., and Mainardi F. On Mittag-Leffler-type functions in fractional evolution processes. J. Comput. Appl. Math. 118 (2000) 283-299
    • (2000) J. Comput. Appl. Math. , vol.118 , pp. 283-299
    • Gorenflo, R.1    Mainardi, F.2
  • 12
    • 17144453621 scopus 로고    scopus 로고
    • Existence and uniqueness of almost automorphic mild solutions of some semilinear abstract differential equations
    • N'Guérékata G.M. Existence and uniqueness of almost automorphic mild solutions of some semilinear abstract differential equations. Semigroup Forum 69 (2004) 80-86
    • (2004) Semigroup Forum , vol.69 , pp. 80-86
    • N'Guérékata, G.M.1
  • 15
    • 33745869026 scopus 로고    scopus 로고
    • Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
    • Heymans N., and Podlubny I. Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives. Rheol. Acta 45 5 (2006) 765-771
    • (2006) Rheol. Acta , vol.45 , Issue.5 , pp. 765-771
    • Heymans, N.1    Podlubny, I.2
  • 17
    • 53249137596 scopus 로고    scopus 로고
    • Almost automorphic solutions of second order evolution equations
    • Liu J., N'Guérékata G.M., and van Minh N. Almost automorphic solutions of second order evolution equations. Appl. Anal. 84 11 (2005) 1173-1184
    • (2005) Appl. Anal. , vol.84 , Issue.11 , pp. 1173-1184
    • Liu, J.1    N'Guérékata, G.M.2    van Minh, N.3
  • 18
    • 0034652891 scopus 로고    scopus 로고
    • Regularized solutions for abstract Volterra equations
    • Lizama C. Regularized solutions for abstract Volterra equations. J. Math. Anal. Appl. 243 (2000) 278-292
    • (2000) J. Math. Anal. Appl. , vol.243 , pp. 278-292
    • Lizama, C.1
  • 19
    • 0038624590 scopus 로고    scopus 로고
    • On approximation and representation of k-regularized resolvent families
    • Lizama C. On approximation and representation of k-regularized resolvent families. Integral Equ. Oper. Theory 41 2 (2001) 223-229
    • (2001) Integral Equ. Oper. Theory , vol.41 , Issue.2 , pp. 223-229
    • Lizama, C.1
  • 20
    • 0038392424 scopus 로고    scopus 로고
    • Rates of approximation and ergodic limits of regularized operator families
    • Lizama C., and Prado H. Rates of approximation and ergodic limits of regularized operator families. J. Approx. Theory 122 1 (2003) 42-61
    • (2003) J. Approx. Theory , vol.122 , Issue.1 , pp. 42-61
    • Lizama, C.1    Prado, H.2
  • 21
    • 19044391698 scopus 로고    scopus 로고
    • On perturbation of k-regularized resolvent families
    • Lizama C., and Sánchez J. On perturbation of k-regularized resolvent families. Taiwanese J. Math. 7 2 (2003) 217-227
    • (2003) Taiwanese J. Math. , vol.7 , Issue.2 , pp. 217-227
    • Lizama, C.1    Sánchez, J.2
  • 23
    • 53949108575 scopus 로고
    • Birkhäuser Verlag
    • Prüss J. Evolutionary Integral Equations and Applications. Monographs Math. vol. 87 (1993), Birkhäuser Verlag
    • (1993) Monographs Math. , vol.87
    • Prüss, J.1
  • 24
    • 33847645066 scopus 로고    scopus 로고
    • Strong and uniform mean stability of cosine and sine operator functions
    • Sato R., and Shaw S.Y. Strong and uniform mean stability of cosine and sine operator functions. J. Math. Anal. Appl. 330 (2007) 1293-1306
    • (2007) J. Math. Anal. Appl. , vol.330 , pp. 1293-1306
    • Sato, R.1    Shaw, S.Y.2
  • 25
    • 34250194945 scopus 로고    scopus 로고
    • Asymptotic behavior of (a, k)-regularized families at zero
    • Shaw S.Y., and Chen J.C. Asymptotic behavior of (a, k)-regularized families at zero. Taiwanese J. Math. 10 2 (2006) 531-542
    • (2006) Taiwanese J. Math. , vol.10 , Issue.2 , pp. 531-542
    • Shaw, S.Y.1    Chen, J.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.