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Volumn 53, Issue 4, 2012, Pages 605-614

A global uniqueness result for fractional order implicit differential equations

Author keywords

Fixed point; Fractional order; Fr chet space; Left sided mixed Riemann Liouville integral; Mixed regularized derivative; Partial hyperbolic differential equation; Solution

Indexed keywords


EID: 84872817083     PISSN: 00102628     EISSN: 12137243     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (4)

References (23)
  • 1
    • 77956189880 scopus 로고    scopus 로고
    • Darboux problem for impulsive partial hyperbolic differential equations of fractional order with variable times and infinite delay
    • Abbas S., Agarwal R.P., Benchohra M., Darboux problem for impulsive partial hyperbolic differential equations of fractional order with variable times and infinite delay, Nonlinear Anal. Hybrid Syst. 4 (2010), 818-829.
    • (2010) Nonlinear Anal. Hybrid Syst. , vol.4 , pp. 818-829
    • Abbas, S.1    Agarwal, R.P.2    Benchohra, M.3
  • 2
    • 77249153545 scopus 로고    scopus 로고
    • Partial hyperbolic differential equations with finite delay involving the Caputo fractional derivative
    • Abbas S., Benchohra M., Partial hyperbolic differential equations with finite delay involving the Caputo fractional derivative, Commun. Math. Anal. 7 (2009), 62-72.
    • (2009) Commun. Math. Anal. , vol.7 , pp. 62-72
    • Abbas, S.1    Benchohra, M.2
  • 3
    • 83055192047 scopus 로고    scopus 로고
    • The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses
    • Abbas S., Benchohra M., The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses, Discuss. Math. Differ. Incl. Control Optim. 30 (2010), no. 1, 141-161.
    • (2010) Discuss. Math. Differ. Incl. Control Optim. , vol.30 , Issue.1 , pp. 141-161
    • Abbas, S.1    Benchohra, M.2
  • 4
    • 84872772792 scopus 로고    scopus 로고
    • Existence theory for impulsive partial hyperbolic functional differential equations involving the Caputo fractional derivative
    • Abbas S., Benchohra M., Gorniewicz L., Existence theory for impulsive partial hyperbolic functional differential equations involving the Caputo fractional derivative, Sci. Math. Jpn. 72 (2010), 49-60.
    • (2010) Sci. Math. Jpn. , vol.72 , pp. 49-60
    • Abbas, S.1    Benchohra, M.2    Gorniewicz, L.3
  • 6
    • 84867518412 scopus 로고    scopus 로고
    • On fractional order derivatives and Darboux problem for implicit differential equations
    • Abbas S., Benchohra M., Vityuk A.N., On fractional order derivatives and Darboux problem for implicit differential equations, Fract. Calc. Appl. Anal. 15 (2) (2012), 168-182.
    • (2012) Fract. Calc. Appl. Anal. , vol.15 , Issue.2 , pp. 168-182
    • Abbas, S.1    Benchohra, M.2    Vityuk, A.N.3
  • 7
    • 38149134242 scopus 로고    scopus 로고
    • Uniqueness results for fractional functional differ-ential equations with infinite delay in Fréchet spaces
    • Belarbi A., Benchohra M., Ouahab A., Uniqueness results for fractional functional differ-ential equations with infinite delay in Fréchet spaces, Appl. Anal. 85 (2006), 1459-1470.
    • (2006) Appl. Anal. , vol.85 , pp. 1459-1470
    • Belarbi, A.1    Benchohra, M.2    Ouahab, A.3
  • 8
    • 58249117112 scopus 로고    scopus 로고
    • Existence results for boundary value problems of nonlinear fractional differential equations with integral conditions
    • Benchohra M., Graef J.R., Hamani S., Existence results for boundary value problems of nonlinear fractional differential equations with integral conditions, Appl. Anal. 87 (2008), no. 7, 851-863.
    • (2008) Appl. Anal. , vol.87 , Issue.7 , pp. 851-863
    • Benchohra, M.1    Graef, J.R.2    Hamani, S.3
  • 9
    • 58249103422 scopus 로고    scopus 로고
    • Boundary value problems for differential equa-tions with fractional order
    • Benchohra M., Hamani S., Ntouyas S.K., Boundary value problems for differential equa-tions with fractional order, Surv. Math. Appl. 3 (2008), 1-12.
    • (2008) Surv. Math. Appl. , vol.3 , pp. 1-12
    • Benchohra, M.1    Hamani, S.2    Ntouyas, S.K.3
  • 10
    • 34848916710 scopus 로고    scopus 로고
    • Existence results for functional differential equations of fractional order
    • Benchohra M., Henderson J., Ntouyas S.K., Ouahab A., Existence results for functional differential equations of fractional order, 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
  • 11
    • 0011880971 scopus 로고    scopus 로고
    • Résultats de type Leray-Schauder pour des contractions sur des espaces de Fréchet
    • Frigon M., Granas A., Résultats de type Leray-Schauder pour des contractions sur des espaces de Fréchet, Ann. Sci. Math. Québec 22 (1998), no. 2, 161-168.
    • (1998) Ann. Sci. Math. Québec , vol.22 , Issue.2 , pp. 161-168
    • Frigon, M.1    Granas, A.2
  • 15
    • 17444382726 scopus 로고    scopus 로고
    • Nonlinear differential equations with the Caputo fractional de-rivative in the space of continuously differentiable functions
    • Kilbas A.A., Marzan S.A., Nonlinear differential equations with the Caputo fractional de-rivative in the space of continuously differentiable functions, Differ. Equ. 41 (2005), 84-89.
    • (2005) Differ. Equ. , vol.41 , pp. 84-89
    • Kilbas, A.A.1    Marzan, S.A.2
  • 20
    • 68949195303 scopus 로고    scopus 로고
    • Existence of solutions of partial differential inclusions of fractional order
    • Vityuk A.N., Existence of solutions of partial differential inclusions of fractional order, Izv. Vyssh. Uchebn. Zaved. Mat. 8 (1997), 13-19.
    • (1997) Izv. Vyssh. Uchebn. Zaved. Mat. , vol.8 , pp. 13-19
    • Vityuk, A.N.1
  • 21
    • 68949171371 scopus 로고    scopus 로고
    • Existence of solutions of systems of partial differential equa-tions of fractional order
    • Vityuk A.N., Golushkov A.V., Existence of solutions of systems of partial differential equa-tions of fractional order, Nonlinear Oscil. 7 (2004), no. 3, 318-325.
    • (2004) Nonlinear Oscil , vol.7 , Issue.3 , pp. 318-325
    • Vityuk, A.N.1    Golushkov, A.V.2
  • 22
    • 69849102987 scopus 로고    scopus 로고
    • On a class of fractional-order differential equation
    • Vityuk A.N., Mykhailenko A.V., On a class of fractional-order differential equation, Non-linear Oscil. 11 (2008), no. 3, 307-319.
    • (2008) Non-linear Oscil , vol.11 , Issue.3 , pp. 307-319
    • Vityuk, A.N.1    Mykhailenko, A.V.2
  • 23
    • 79957643729 scopus 로고    scopus 로고
    • The Darboux problem for an implicit fractional-order differential equation
    • Vityuk A.N., Mykhailenko A.V., The Darboux problem for an implicit fractional-order differential equation, J. Math. Sci. 175 (4) (2011), 391-401.
    • (2011) J. Math. Sci. , vol.175 , Issue.4 , pp. 391-401
    • Vityuk, A.N.1    Mykhailenko, A.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.