메뉴 건너뛰기




Volumn 38, Issue 1-2, 2012, Pages 133-143

On the existence of solutions for fractional differential inclusions with anti-periodic boundary conditions

Author keywords

Anti periodic boundary conditions; Fixed point; Fractional differential inclusion

Indexed keywords

ANTI-PERIODIC; EXISTENCE OF SOLUTIONS; FIXED POINT THEOREMS; FIXED POINTS; FRACTIONAL DIFFERENTIAL INCLUSIONS; RIGHT-HAND SIDES;

EID: 84856150376     PISSN: 15985865     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12190-010-0468-6     Document Type: Article
Times cited : (19)

References (26)
  • 1
    • 77956612516 scopus 로고    scopus 로고
    • Existence of solutions for fractional differential equations of order q (2,3] with anti-periodic boundary conditions
    • doi: 10.1007/s12190-009-0328-4
    • Ahmad, B.: Existence of solutions for fractional differential equations of order q (2,3] with anti-periodic boundary conditions. J. Appl. Math. Comput. doi: 10.1007/s12190-009-0328-4
    • J. Appl. Math. Comput.
    • Ahmad, B.1
  • 2
    • 68349123813 scopus 로고    scopus 로고
    • Existence of solutions for functional differential inclusions with antiperiodic boundary conditions
    • 2525570
    • B. Ahmad V. Otero-Espinar 2009 Existence of solutions for functional differential inclusions with antiperiodic boundary conditions Bound. Value Probl. 2009 625347 2525570
    • (2009) Bound. Value Probl. , vol.2009 , pp. 625347
    • Ahmad, B.1    Otero-Espinar, V.2
  • 3
    • 76649109382 scopus 로고    scopus 로고
    • Impulsive fractional differential inclusions involving Caputo fractional derivative
    • 1179.26012 2494428
    • E. Ait Dads M. Benchohra S. Hamani 2009 Impulsive fractional differential inclusions involving Caputo fractional derivative Fract. Calc. Appl. Anal. 12 15 38 1179.26012 2494428
    • (2009) Fract. Calc. Appl. Anal. , vol.12 , pp. 15-38
    • Ait Dads, E.1    Benchohra, M.2    Hamani, S.3
  • 4
    • 34848916710 scopus 로고    scopus 로고
    • Existence results for fractional order functional differential equations with infinite delay
    • 10.1016/j.jmaa.2007.06.021 1209.34096 2386501
    • M. Benchohra J. Henderson S.K. Ntouyas A. Ouahab 2008 Existence results for fractional order functional differential equations with infinite delay J. Math. Anal. Appl. 338 1340 1350 10.1016/j.jmaa.2007.06.021 1209.34096 2386501
    • (2008) J. Math. Anal. Appl. , vol.338 , pp. 1340-1350
    • Benchohra, M.1    Henderson, J.2    Ntouyas, S.K.3    Ouahab, A.4
  • 5
    • 58149196822 scopus 로고    scopus 로고
    • Existence results for fractional order functional differential inclusions with infinite delay and applications to control theory
    • 1149.26010 2379272
    • M. Benchohra J. Henderson S.K. Ntouyas A. Ouahab 2008 Existence results for fractional order functional differential inclusions with infinite delay and applications to control theory Fract. Calc. Appl. Anal. 11 35 56 1149.26010 2379272
    • (2008) Fract. Calc. Appl. Anal. , vol.11 , pp. 35-56
    • Benchohra, M.1    Henderson, J.2    Ntouyas, S.K.3    Ouahab, A.4
  • 6
    • 0002110530 scopus 로고
    • Extensions and selections of maps with decomposable values
    • 0677.54013 947921
    • A. Bressan G. Colombo 1988 Extensions and selections of maps with decomposable values Stud. Math. 90 69 86 0677.54013 947921
    • (1988) Stud. Math. , vol.90 , pp. 69-86
    • Bressan, A.1    Colombo, G.2
  • 9
    • 78650805632 scopus 로고    scopus 로고
    • On the existence of solutions for fractional differential inclusions with boundary conditions
    • 1206.34011 2598190
    • A. Cernea 2009 On the existence of solutions for fractional differential inclusions with boundary conditions Fract. Calc. Appl. Anal. 12 433 442 1206.34011 2598190
    • (2009) Fract. Calc. Appl. Anal. , vol.12 , pp. 433-442
    • Cernea, A.1
  • 10
    • 71749083785 scopus 로고    scopus 로고
    • Continuous version of Filippov's theorem for fractional differential inclusions
    • 10.1016/j.na.2009.06.046 1186.34010 2574932
    • A. Cernea 2010 Continuous version of Filippov's theorem for fractional differential inclusions Nonlinear Anal. 72 204 208 10.1016/j.na.2009.06.046 1186.34010 2574932
    • (2010) Nonlinear Anal. , vol.72 , pp. 204-208
    • Cernea, A.1
  • 11
    • 78650811036 scopus 로고    scopus 로고
    • On the existence of solutions for nonconvex fractional hyperbolic differential inclusions
    • 1193.35003 2640309
    • A. Cernea 2010 On the existence of solutions for nonconvex fractional hyperbolic differential inclusions Commun. Math. Anal. 9 109 120 1193.35003 2640309
    • (2010) Commun. Math. Anal. , vol.9 , pp. 109-120
    • Cernea, A.1
  • 12
    • 58049138945 scopus 로고    scopus 로고
    • Some new existence results for fractional differential inclusions with boundary conditions
    • 10.1016/j.mcm.2008.03.014 1165.34313 2483665
    • Y.K. Chang J.J. Nieto 2009 Some new existence results for fractional differential inclusions with boundary conditions Math. Comput. Model. 49 605 609 10.1016/j.mcm.2008.03.014 1165.34313 2483665
    • (2009) Math. Comput. Model. , vol.49 , pp. 605-609
    • Chang, Y.K.1    Nieto, J.J.2
  • 13
    • 43049173303 scopus 로고    scopus 로고
    • Positive periodic solutions of Hills equations with singular nonlinear perturbations
    • 10.1016/j.na.2007.05.016 1148.34025 2417870
    • J. Chu M. Li 2008 Positive periodic solutions of Hills equations with singular nonlinear perturbations Nonlinear Anal. 69 276 286 10.1016/j.na.2007. 05.016 1148.34025 2417870
    • (2008) Nonlinear Anal. , vol.69 , pp. 276-286
    • Chu, J.1    Li, M.2
  • 14
    • 44649156437 scopus 로고    scopus 로고
    • Impulsive periodic solutions of first-order singular differential equations
    • 10.1112/blms/bdm110 1144.34016 2409187
    • J. Chu J.J. Nieto 2008 Impulsive periodic solutions of first-order singular differential equations Bull. Lond. Math. Soc. 40 143 150 10.1112/blms/bdm110 1144.34016 2409187
    • (2008) Bull. Lond. Math. Soc. , vol.40 , pp. 143-150
    • Chu, J.1    Nieto, J.J.2
  • 15
    • 34250691602 scopus 로고    scopus 로고
    • Periodic solutions of second-order non-autonomous singular dynamical systems
    • 10.1016/j.jde.2007.05.007 1127.34023 2341553
    • J. Chu P.J. Torres M. Zhang 2007 Periodic solutions of second-order non-autonomous singular dynamical systems J. Differ. Equ. 239 196 212 10.1016/j.jde.2007.05.007 1127.34023 2341553
    • (2007) J. Differ. Equ. , vol.239 , pp. 196-212
    • Chu, J.1    Torres, P.J.2    Zhang, M.3
  • 16
    • 51249191814 scopus 로고
    • Multivalued contraction mapping in generalized metric spaces
    • 10.1007/BF02771543 0192.59802 263062
    • H. Covitz S.B. Nadler Jr. 1970 Multivalued contraction mapping in generalized metric spaces Isr. J. Math. 8 5 11 10.1007/BF02771543 0192.59802 263062
    • (1970) Isr. J. Math. , vol.8 , pp. 5-11
    • Covitz, H.1    Nadler, Jr.S.B.2
  • 17
    • 0011639086 scopus 로고
    • Multivalued fractional differential equations of arbitrary orders
    • 10.1016/0096-3003(94)00080-N 0830.34012 1320806
    • A.M.A. El-Sayed A.G. Ibrahim 1995 Multivalued fractional differential equations of arbitrary orders Appl. Math. Comput. 68 15 25 10.1016/0096-3003(94) 00080-N 0830.34012 1320806
    • (1995) Appl. Math. Comput. , vol.68 , pp. 15-25
    • El-Sayed, A.M.A.1    Ibrahim, A.G.2
  • 18
    • 0011605117 scopus 로고
    • Théorèmes d'existence pour les inclusions différentielles sans convexité
    • M. Frignon A. Granas 1990 Théorèmes d'existence pour les inclusions différentielles sans convexité C. R. Acad. Sci. Paris, Ser. I 310 819 822
    • (1990) C. R. Acad. Sci. Paris, Ser. i , vol.310 , pp. 819-822
    • Frignon, M.1    Granas, A.2
  • 19
    • 58149197948 scopus 로고    scopus 로고
    • Fractional functional differential inclusions with finite delay
    • 10.1016/j.na.2008.02.111 1159.34010 2492146
    • J. Henderson A. Ouahab 2009 Fractional functional differential inclusions with finite delay Nonlinear Anal. 70 2091 2105 10.1016/j.na.2008.02.111 1159.34010 2492146
    • (2009) Nonlinear Anal. , vol.70 , pp. 2091-2105
    • Henderson, J.1    Ouahab, A.2
  • 20
    • 14844350923 scopus 로고    scopus 로고
    • Multiplicity of positive periodic solutions to superlinear repulsive singular equations
    • 10.1016/j.jde.2004.10.031 1074.34048 2125544
    • D. Jiang J. Chu M. Zhang 2005 Multiplicity of positive periodic solutions to superlinear repulsive singular equations J. Differ. Equ. 211 282 302 10.1016/j.jde.2004.10.031 1074.34048 2125544
    • (2005) J. Differ. Equ. , vol.211 , pp. 282-302
    • Jiang, D.1    Chu, J.2    Zhang, M.3
  • 22
    • 0000017706 scopus 로고
    • An application of the Kakutani-Ky-Fan theorem in the theory of ordinary differential equations
    • 0151.10703 196178
    • A. Lasota Z. Opial 1965 An application of the Kakutani-Ky-Fan theorem in the theory of ordinary differential equations Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 13 781 786 0151.10703 196178
    • (1965) Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. , vol.13 , pp. 781-786
    • Lasota, A.1    Opial, Z.2
  • 24
    • 0000680982 scopus 로고    scopus 로고
    • Fixed point theory for closed multifunctions
    • 0914.47054 1629701
    • D. O'Regan 1998 Fixed point theory for closed multifunctions Arch. Math. (Brno) 34 191 197 0914.47054 1629701
    • (1998) Arch. Math. (Brno) , vol.34 , pp. 191-197
    • O'Regan, D.1
  • 25
    • 42649111859 scopus 로고    scopus 로고
    • Some results for fractional boundary value problem of differential inclusions
    • A. Ouahab 2009 Some results for fractional boundary value problem of differential inclusions Nonlinear Anal. 69 3871 3896
    • (2009) Nonlinear Anal. , vol.69 , pp. 3871-3896
    • Ouahab, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.