메뉴 건너뛰기




Volumn 64, Issue 10, 2012, Pages 3468-3476

New stability results for fractional integral equation

Author keywords

Fractional integral equation; Stability

Indexed keywords

COMPLETE METRIC SPACE; FIXED POINT THEOREMS; FRACTIONAL INTEGRALS; HYERS-ULAM STABILITY; HYERS-ULAM-RASSIAS STABILITY; STABILITY RESULTS;

EID: 84868212070     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2012.02.057     Document Type: Article
Times cited : (46)

References (35)
  • 5
    • 77949264980 scopus 로고    scopus 로고
    • A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
    • R.P. Agarwal, M. Benchohra, and S. Hamani A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions Acta. Appl. Math. 109 2010 973 1033
    • (2010) Acta. Appl. Math. , vol.109 , pp. 973-1033
    • Agarwal, R.P.1    Benchohra, M.2    Hamani, S.3
  • 6
    • 70349131961 scopus 로고    scopus 로고
    • Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
    • B. Ahmad, and J.J. Nieto Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions Comput. Math. Appl. 58 2009 1838 1843
    • (2009) Comput. Math. Appl. , vol.58 , pp. 1838-1843
    • Ahmad, B.1    Nieto, J.J.2
  • 7
    • 71649083074 scopus 로고    scopus 로고
    • On positive solutions of a nonlocal fractional boundary value problem
    • Z. Bai On positive solutions of a nonlocal fractional boundary value problem Nonlinear Anal.: TMA 72 2010 916 924
    • (2010) Nonlinear Anal.: TMA , vol.72 , pp. 916-924
    • Bai, Z.1
  • 8
    • 34848916710 scopus 로고    scopus 로고
    • Existence results for fractional order functional differential equations with infinite delay
    • M. Benchohra, J. Henderson, S.K. Ntouyas, and A. Ouahab Existence results for fractional order functional differential equations with infinite delay J. Math. Anal. Appl. 338 2008 1340 1350
    • (2008) J. Math. Anal. Appl. , vol.338 , pp. 1340-1350
    • Benchohra, M.1    Henderson, J.2    Ntouyas, S.K.3    Ouahab, A.4
  • 9
    • 58049138945 scopus 로고    scopus 로고
    • Some new existence results for fractional differential inclusions with boundary conditions
    • Y.-K. Chang, and J.J. Nieto Some new existence results for fractional differential inclusions with boundary conditions Math. Comput. Model. 49 2009 605 609
    • (2009) Math. Comput. Model. , vol.49 , pp. 605-609
    • Chang, Y.-K.1    Nieto, J.J.2
  • 10
    • 80052035803 scopus 로고    scopus 로고
    • Existence and controllability results for fractional semilinear differential inclusions
    • J. Wang, and Y. Zhou Existence and controllability results for fractional semilinear differential inclusions Nonlinear Anal.: RWA 12 2011 3642 3653
    • (2011) Nonlinear Anal.: RWA , vol.12 , pp. 3642-3653
    • Wang, J.1    Zhou, Y.2
  • 11
    • 79955979032 scopus 로고    scopus 로고
    • A class of fractional delay nonlinear integrodifferential controlled systems in Banach spaces
    • J. Wang, Y. Zhou, and W. Wei A class of fractional delay nonlinear integrodifferential controlled systems in Banach spaces Commun. Nonlinear Sci. Numer. Simul. 16 2011 4049 4059
    • (2011) Commun. Nonlinear Sci. Numer. Simul. , vol.16 , pp. 4049-4059
    • Wang, J.1    Zhou, Y.2    Wei, W.3
  • 12
    • 80051576826 scopus 로고    scopus 로고
    • Analysis of nonlinear fractional control systems in Banach spaces
    • J. Wang, and Y. Zhou Analysis of nonlinear fractional control systems in Banach spaces Nonlinear Anal.: TMA 74 2011 5929 5942
    • (2011) Nonlinear Anal.: TMA , vol.74 , pp. 5929-5942
    • Wang, J.1    Zhou, Y.2
  • 13
    • 79960842094 scopus 로고    scopus 로고
    • Existence of mild solutions for fractional delay evolution systems
    • J. Wang, and Y. Zhou Existence of mild solutions for fractional delay evolution systems Appl. Math. Comput. 218 2011 357 367
    • (2011) Appl. Math. Comput. , vol.218 , pp. 357-367
    • Wang, J.1    Zhou, Y.2
  • 14
    • 79961010111 scopus 로고    scopus 로고
    • Nonlocal problems for fractional integrodifferential equations via fractional operators and optimal controls
    • J. Wang, Y. Zhou, W. Wei, and H. Xu Nonlocal problems for fractional integrodifferential equations via fractional operators and optimal controls Comput. Math. Appl. 62 2011 1427 1441
    • (2011) Comput. Math. Appl. , vol.62 , pp. 1427-1441
    • Wang, J.1    Zhou, Y.2    Wei, W.3    Xu, H.4
  • 15
    • 67349177003 scopus 로고    scopus 로고
    • Existence and uniqueness for fractional neutral differential equations with infinite delay
    • Y. Zhou, F. Jiao, and J. Li Existence and uniqueness for fractional neutral differential equations with infinite delay Nonlinear Anal.: TMA 71 2009 3249 3256
    • (2009) Nonlinear Anal.: TMA , vol.71 , pp. 3249-3256
    • Zhou, Y.1    Jiao, F.2    Li, J.3
  • 16
    • 77955515765 scopus 로고    scopus 로고
    • Nonlocal Cauchy problem for fractional evolution equations
    • Y. Zhou, and F. Jiao Nonlocal Cauchy problem for fractional evolution equations Nonlinear Anal.: RWA 11 2010 4465 4475
    • (2010) Nonlinear Anal.: RWA , vol.11 , pp. 4465-4475
    • Zhou, Y.1    Jiao, F.2
  • 18
    • 0001260759 scopus 로고
    • On the stability of the linear functional equation
    • D.H. Hyers On the stability of the linear functional equation Proc. Nat. Acad. Sci. 27 1941 222 224
    • (1941) Proc. Nat. Acad. Sci. , vol.27 , pp. 222-224
    • Hyers, D.H.1
  • 19
    • 84966221118 scopus 로고
    • On the stability of linear mappings in Banach spaces
    • Th.M. Rassias On the stability of linear mappings in Banach spaces Proc. Amer. Math. Soc. 72 1978 297 300
    • (1978) Proc. Amer. Math. Soc. , vol.72 , pp. 297-300
    • Rassias, Th.M.1
  • 23
    • 10644290151 scopus 로고    scopus 로고
    • Hyers-Ulam stability of linear differential equations of first order
    • S.-M. Jung Hyers-Ulam stability of linear differential equations of first order Appl. Math. Lett. 17 2004 1135 1140
    • (2004) Appl. Math. Lett. , vol.17 , pp. 1135-1140
    • Jung, S.-M.1
  • 25
    • 0142087794 scopus 로고    scopus 로고
    • A characterization of Hyers-Ulam stability of first order linear differential operators
    • DOI 10.1016/S0022-247X(03)00458-X
    • T. Miura, S. Miyajima, and S.-E. Takahasi A characterization of Hyers-Ulam stability of first order linear differential operators J. Math. Anal. Appl. 286 2003 136 146 (Pubitemid 37282214)
    • (2003) Journal of Mathematical Analysis and Applications , vol.286 , Issue.1 , pp. 136-146
    • Miura, T.1    Miyajima, S.2    Takahasi, S.-E.3
  • 26
    • 0141865505 scopus 로고    scopus 로고
    • Hyers-Ulam stability of linear differential operator with constant coefficients
    • DOI 10.1002/mana.200310088
    • T. Miura, S. Miyajima, and S.-E. Takahasi Hyers-Ulam stability of linear differential operator with constant coefficients Math. Nachr. 258 2003 90 96 (Pubitemid 37177576)
    • (2003) Mathematische Nachrichten , vol.258 , pp. 90-96
    • Miura, T.1    Miyajima, S.2    Takahasi, S.-E.3
  • 27
    • 70350648459 scopus 로고    scopus 로고
    • Ulam stability of ordinary differential equations
    • I.A. Rus Ulam stability of ordinary differential equations Studia Univ. Babeş Bolyai Mathematica 54 2009 125 133
    • (2009) Studia Univ. Babeş Bolyai Mathematica , vol.54 , pp. 125-133
    • Rus, I.A.1
  • 28
    • 55649110239 scopus 로고
    • Hyers stability of the linear differential equation
    • M. Oboza Hyers stability of the linear differential equation Rocznik Nauk.-Dydakt. Prace Mat. 13 1993 259 270
    • (1993) Rocznik Nauk.-Dydakt. Prace Mat. , vol.13 , pp. 259-270
    • Oboza, M.1
  • 29
    • 55649083686 scopus 로고    scopus 로고
    • Connections between Hyers and Lyapunov stability of the ordinary differential equations
    • M. Oboza Connections between Hyers and Lyapunov stability of the ordinary differential equations Rocznik Nauk.-Dydakt. Prace Mat. 14 1997 141 146
    • (1997) Rocznik Nauk.-Dydakt. Prace Mat. , vol.14 , pp. 141-146
    • Oboza, M.1
  • 31
    • 80053076876 scopus 로고    scopus 로고
    • Ulam stability and data dependence for fractional differential equations with Caputo derivative
    • J. Wang, L. Lv, and Y. Zhou Ulam stability and data dependence for fractional differential equations with Caputo derivative E. J. Qual. Theory Diff. Equ. 63 2011 1 10
    • (2011) E. J. Qual. Theory Diff. Equ. , Issue.63 , pp. 1-10
    • Wang, J.1    Lv, L.2    Zhou, Y.3
  • 32
    • 84855222640 scopus 로고    scopus 로고
    • New concepts and results in stability of fractional differential equations
    • J. Wang, L. Lv, and Y. Zhou New concepts and results in stability of fractional differential equations Commun. Nonlinear Sci. Numer. Simul. 17 2012 2530 2538
    • (2012) Commun. Nonlinear Sci. Numer. Simul. , vol.17 , pp. 2530-2538
    • Wang, J.1    Lv, L.2    Zhou, Y.3
  • 33
    • 84855992801 scopus 로고    scopus 로고
    • Mittag-Leffler-Ulam stabilities of fractional evolution equations
    • J. Wang, and Y. Zhou Mittag-Leffler-Ulam stabilities of fractional evolution equations Appl. Math. Lett. 25 2012 723 728
    • (2012) Appl. Math. Lett. , vol.25 , pp. 723-728
    • Wang, J.1    Zhou, Y.2
  • 35
    • 84968516208 scopus 로고
    • A fixed point theorem of the alternative, for contractions on a generalized complete metric space
    • J.B. Diaz, and B. Margolis A fixed point theorem of the alternative, for contractions on a generalized complete metric space Bull. Amer. Math. Soc. 74 1968 305 309
    • (1968) Bull. Amer. Math. Soc. , vol.74 , pp. 305-309
    • Diaz, J.B.1    Margolis, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.