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Volumn 15, Issue 3, 2012, Pages 362-382

Fractional differential inclusions with fractional separated boundary conditions

Author keywords

Fixed point theorems; Fractional differential inclusions; Separated boundary conditions

Indexed keywords


EID: 84869162803     PISSN: 13110454     EISSN: 13142444     Source Type: Journal    
DOI: 10.2478/s13540-012-0027-y     Document Type: Article
Times cited : (62)

References (39)
  • 1
    • 79960976705 scopus 로고    scopus 로고
    • Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
    • R.P. Agarwal and B. Ahmad, Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions. Comput. Math. Appl. 62, No 3 (2011), 1200-1214.
    • (2011) Comput. Math. Appl. , vol.62 , Issue.3 , pp. 1200-1214
    • Agarwal, R.P.1    Ahmad, B.2
  • 2
    • 67650110018 scopus 로고    scopus 로고
    • A survey on semilinear differential equations and inclusions involving riemann-liouville fractional derivative
    • Art. ID 981728
    • R.P. Agarwal, M. Belmekki and M. Benchohra, A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative. Adv. Difference Equ. 2009, Art. ID 981728, 47 pp.
    • (2009) Adv. Difference Equ.
    • Agarwal, R.P.1    Belmekki, M.2    Benchohra, M.3
  • 3
    • 84862666375 scopus 로고    scopus 로고
    • On the existence of solutions of fractional integro-differential equations
    • DOI: 102478/s13540-44-69 DOI: 102478/s13012
    • A. Aghajani, Y. Jalilian and J.J. Trujillo, On the existence of solutions of fractional integro-differential equations. Fract. Calc. Appl. Anal. 15, No 1 (2012), 44-69; DOI: 10.2478/s13540-012-0005-4; http://www.springerlink.com/ content/1311-0454/15/1/
    • (2012) Fract. Calc. Appl. Anal. , vol.15 , Issue.1 , pp. 44-69
    • Aghajani, A.1    Jalilian, Y.2    Trujillo, J.J.3
  • 4
    • 77958541432 scopus 로고    scopus 로고
    • Existence results for fractional differential inclusions with separated boundary conditions
    • B. Ahmad, Existence results for fractional differential inclusions with separated boundary conditions. Bull. Korean Math. Soc. 47, No 4 (2010), 805-813.
    • (2010) Bull. Korean Math. Soc. , vol.47 , Issue.4 , pp. 805-813
    • Ahmad, B.1
  • 5
    • 76749131977 scopus 로고    scopus 로고
    • Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations
    • B. Ahmad, Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations. Appl. Math. Lett. 23, No 4 (2010), 390-394.
    • (2010) Appl. Math. Lett. , vol.23 , Issue.4 , pp. 390-394
    • Ahmad, B.1
  • 7
    • 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, No 9 (2009), 1838-1843.
    • (2009) Comput. Math. Appl. , vol.58 , Issue.9 , pp. 1838-1843
    • Ahmad, B.1    Nieto, J.J.2
  • 8
    • 77956315480 scopus 로고    scopus 로고
    • Existence of solutions for anti-periodic boundary value problems involving fractional differential equations via leray-schauder degree theory
    • B. Ahmad and J.J. Nieto, Existence of solutions for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory. Topol. Methods Nonlinear Anal. 35, No 2 (2010), 295-304.
    • (2010) Topol. Methods Nonlinear Anal. , vol.35 , Issue.2 , pp. 295-304
    • Ahmad, B.1    Nieto, J.J.2
  • 9
    • 84866126350 scopus 로고    scopus 로고
    • Anti-periodic fractional boundary value problem with nonlinear term depending on lower order derivative
    • DOI: 102478/s13540-451-462 DOI: 102478/s13012
    • B. Ahmad and J.J. Nieto, Anti-periodic fractional boundary value problem with nonlinear term depending on lower order derivative. Fract. Calc. Appl. Anal. 15, No 3 (2012), 451-462; DOI: 10.2478/s13540-012-0032-1; same issue; http://www.springerlink.com/content/1311-0454/15/3/
    • (2012) Fract. Calc. Appl. Anal. , vol.15 , Issue.3 , pp. 451-462
    • Ahmad, B.1    Nieto, J.J.2
  • 10
    • 79960994576 scopus 로고    scopus 로고
    • Some boundary value problems of fractional differential equations and inclusions
    • B. Ahmad and J.J. Nieto, J. Pimentel, Some boundary value problems of fractional differential equations and inclusions. Comput. Math. Appl. 62, No 3 (2011), 1238-1250.
    • (2011) Comput. Math. Appl. , vol.62 , Issue.3 , pp. 1238-1250
    • Ahmad, B.1    Nieto, J.J.2    Pimentel, J.3
  • 11
    • 85087595614 scopus 로고    scopus 로고
    • Some existence results for boundary value problems fractional differential inclusions with non-separated boundary conditions
    • B. Ahmad and S.K. Ntouyas, Some existence results for boundary value problems fractional differential inclusions with non-separated boundary conditions. Electron. J. Qual. Theory Differ. Equ. 2010, No 71 (2010), 1-17.
    • (2010) Electron. J. Qual. Theory Differ. Equ. , vol.2010 , Issue.71 , pp. 1-17
    • Ahmad, B.1    Ntouyas, S.K.2
  • 12
    • 79952219332 scopus 로고    scopus 로고
    • New existence results for nonlinear fractional differential equations with three-point integral boundary conditions
    • Art. ID 107384
    • B. Ahmad and S.K. Ntouyas, A. Alsaedi, New existence results for nonlinear fractional differential equations with three-point integral boundary conditions. Adv. Difference Equ. 2011, Art. ID 107384, 11 pp.
    • (2011) Adv. Difference Equ.
    • Ahmad, B.1    Ntouyas, S.K.2    Alsaedi, A.3
  • 13
    • 85087539117 scopus 로고    scopus 로고
    • A four-point nonlocal integral boundary value problem for fractional differential equations of arbitrary order
    • B. Ahmad and S.K. Ntouyas, A four-point nonlocal integral boundary value problem for fractional differential equations of arbitrary order. Electron. J. Qual. Theory Differ. Equ. 2011, No 22, 15 pp.
    • (2011) Electron. J. Qual. Theory Differ. Equ. , Issue.22
    • Ahmad, B.1    Ntouyas, S.K.2
  • 14
    • 79959203803 scopus 로고    scopus 로고
    • Boundary value problems for q-difference inclusions
    • Article ID 292860
    • B. Ahmad and S.K. Ntouyas, Boundary value problems for q-difference inclusions. Abstr. Appl. Anal. 2011, Article ID 292860, 15 pp.
    • (2011) Abstr. Appl. Anal.
    • Ahmad, B.1    Ntouyas, S.K.2
  • 15
    • 84861038874 scopus 로고    scopus 로고
    • A note on fractional differential equations with fractional separated boundary conditions
    • Article ID 818703
    • B. Ahmad and S.K. Ntouyas, A note on fractional differential equations with fractional separated boundary conditions. Abstr. Appl. Anal. 2012, Article ID 818703, 11 pp.
    • (2012) Abstr. Appl. Anal.
    • Ahmad, B.1    Ntouyas, S.K.2
  • 16
    • 67649233864 scopus 로고    scopus 로고
    • Existence and uniqueness results for nonlinear boundary value problems of fractional differential equations with separated boundary conditions
    • B. Ahmad and S. Sivasundaram, Existence and uniqueness results for nonlinear boundary value problems of fractional differential equations with separated boundary conditions. Commun. Appl. Anal. 13, No 1 (2009), 121-228.
    • (2009) Commun. Appl. Anal. , vol.13 , Issue.1 , pp. 121-228
    • Ahmad, B.1    Sivasundaram, S.2
  • 17
    • 77955713929 scopus 로고    scopus 로고
    • On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
    • B. Ahmad and S. Sivasundaram, On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order. Appl. Math. Comput. 217, No 2 (2010), 480-487.
    • (2010) Appl. Math. Comput. , vol.217 , Issue.2 , pp. 480-487
    • Ahmad, B.1    Sivasundaram, S.2
  • 18
    • 77953683625 scopus 로고    scopus 로고
    • An existence result for a superlinear fractional differential equation
    • D. Baleanu, O.G. Mustafa and R.P. Agarwal, An existence result for a superlinear fractional differential equation. Appl. Math. Lett. 23, No 9 (2010), 1129-1132.
    • (2010) Appl. Math. Lett. , vol.23 , Issue.9 , pp. 1129-1132
    • Baleanu, D.1    Mustafa, O.G.2    Agarwal, R.P.3
  • 19
    • 0002110530 scopus 로고
    • Extensions and selections of maps with decomposable values
    • A. Bressan and G. Colombo, Extensions and selections of maps with decomposable values. Studia Math. 90, No 1 (1988), 69-86.
    • (1988) Studia Math. , vol.90 , Issue.1 , pp. 69-86
    • Bressan, A.1    Colombo, G.2
  • 21
    • 78650811036 scopus 로고    scopus 로고
    • On the existence of solutions for nonconvex fractional hyperbolic differential inclusions
    • A. Cernea, On the existence of solutions for nonconvex fractional hyperbolic differential inclusions. Commun. Math. Anal. 9, No 1 (2010), 109-120.
    • (2010) Commun. Math. Anal. , vol.9 , Issue.1 , pp. 109-120
    • Cernea, A.1
  • 22
    • 84869152261 scopus 로고    scopus 로고
    • A note on the existence of solutions for some boundary value problems of fractional differential inclusions
    • DOI: 102478/s13540-183-194 DOI: 102478/s13012
    • A. Cernea, A note on the existence of solutions for some boundary value problems of fractional differential inclusions. Fract. Calc. Appl. Anal. 15, No 2 (2012), 183-194; DOI: 10.2478/s13540-012-0013-4; http://www.springerlink.com/ content/1311-0454/15/2/
    • (2012) Fract. Calc. Appl. Anal. , vol.15 , Issue.2 , pp. 183-194
    • Cernea, A.1
  • 23
    • 84856150376 scopus 로고    scopus 로고
    • On the existence of solutions for fractional differential inclusions with anti-periodic boundary conditions
    • A. Cernea, On the existence of solutions for fractional differential inclusions with anti-periodic boundary conditions. J. Appl. Math. Comput. 38, No 1-2 (2012), 133-143.
    • (2012) J. Appl. Math. Comput. , vol.38 , Issue.1-2 , pp. 133-143
    • Cernea, A.1
  • 24
    • 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. Modelling 49, No 9-10 (2009), 605-609.
    • (2009) Math. Comput. Modelling , vol.49 , Issue.9-10 , pp. 605-609
    • Chang, Y.-K.1    Nieto, J.J.2
  • 25
    • 51249191814 scopus 로고
    • Multivalued contraction mappings in generalized metric spaces
    • H. Covitz and S.B. Nadler Jr., Multivalued contraction mappings in generalized metric spaces. Israel J. Math. 8 (1970), 5-11.
    • (1970) Israel J. Math. , vol.8 , pp. 5-11
    • Covitz, H.1    Nadler Jr., S.B.2
  • 27
    • 84856356825 scopus 로고    scopus 로고
    • Fractional boundary value problems: Analysis and numerical methods
    • DOI: 102478/s13540-554-567 DOI: 102478/s13011
    • N.J. Ford and M. Luisa Morgado, Fractional boundary value problems: Analysis and numerical methods. Fract. Calc. Appl. Anal. 14, No 4 (2011), 554-567; DOI: 10.2478/s13540-011-0034-4; http://www.springerlink.com/content/ 1311-0454/14/4/
    • (2011) Fract. Calc. Appl. Anal. , vol.14 , Issue.4 , pp. 554-567
    • Ford, N.J.1    Luisa Morgado, M.2
  • 29
    • 77956176473 scopus 로고    scopus 로고
    • On recent developments in the theory of abstract differential equations with fractional derivatives
    • E. Hernandez and D. O'Regan, K. Balachandran, On recent developments in the theory of abstract differential equations with fractional derivatives. Nonlinear Anal. 73, No 10 (2010), 3462-3471.
    • (2010) Nonlinear Anal. , vol.73 , Issue.10 , pp. 3462-3471
    • Hernandez, E.1    O'Regan, D.2    Balachandran, K.3
  • 33
    • 0000017706 scopus 로고
    • An application of the kakutani-ky fan theorem in the theory of ordinary differential equations
    • A. Lasota and Z. Opial, An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 13 (1965), 781-786.
    • (1965) Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. , vol.13 , pp. 781-786
    • Lasota, A.1    Opial, Z.2
  • 35
    • 84868208258 scopus 로고    scopus 로고
    • Fractional semilinear differential inclusions
    • Available online 11 April
    • A. Ouahab, Fractional semilinear differential inclusions. Comput. Math. with Appl., Available online 11 April 2012; http://dx.doi.org/10.1016/j.camwa. 2012.03.039
    • (2012) Comput. Math. with Appl.
    • Ouahab, A.1
  • 38
    • 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. Real World Appl. 12, No 6 (2011), 3642-3653.
    • (2011) Nonlinear Anal. Real World Appl. , vol.12 , Issue.6 , pp. 3642-3653
    • Wang, J.1    Zhou, Y.2


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