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Volumn 2012, Issue , 2012, Pages

Existence results for nonlocal boundary value problems of fractional differential equations and inclusions with strip conditions

Author keywords

Fixed point theorems; Fractional differential equations; Fractional differential inclusions; Leray Schauder degree; Nonloca boundary conditions

Indexed keywords


EID: 84866653902     PISSN: 16872762     EISSN: 16872770     Source Type: Journal    
DOI: 10.1186/1687-2770-2012-55     Document Type: Article
Times cited : (27)

References (36)
  • 1
    • 67650110018 scopus 로고    scopus 로고
    • A survey on semilinear differential equations and inclusions involving riemann-liouville fractional derivative
    • 2009 Art. ID 981728
    • Agarwal, RP, Belmekki, M, Benchohra, M: A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative. Adv. Diff. Equ 2009(47) (2009). Art. ID 981728
    • (2009) Adv. Diff. Equ , Issue.47
    • Agarwal, R.P.1    Belmekki, M.2    Benchohra, M.3
  • 2
    • 68949086378 scopus 로고    scopus 로고
    • Existence of solutions for nonlocal boundary value problems of higher order nonlinear fractional differential equations
    • 2009 Article ID 494720
    • Ahmad, B, Nieto, JJ: Existence of solutions for nonlocal boundary value problems of higher order nonlinear fractional differential equations. Abstr. Appl. Anal 2009(9) (2009). Article ID 494720
    • (2009) Abstr. Appl. Anal , Issue.9
    • Ahmad, B.1    Nieto, J.J.2
  • 3
    • 64249112537 scopus 로고    scopus 로고
    • Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions
    • 2009 Art. ID 708576
    • Ahmad, B, Nieto, JJ: Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions. Bound. Value Probl 2009(11) (2009). Art. ID 708576
    • (2009) Bound. Value Probl , Issue.11
    • Ahmad, B.1    Nieto, J.J.2
  • 4
    • 70349131961 scopus 로고    scopus 로고
    • Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
    • doi:10.1016/j.camwa.2009.07.091
    • Ahmad, B, Nieto, JJ: Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions. Comput. Math. Appl. 58, 1838-1843 (2009). doi:10.1016/j.camwa.2009.07.091
    • (2009) Comput. Math. Appl. , vol.58 , pp. 1838-1843
    • Ahmad, B.1    Nieto, J.J.2
  • 5
    • 77955512416 scopus 로고    scopus 로고
    • Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
    • doi:10.1016/j.nonrwa.2010.01.002
    • Agarwal, RP, Andrade, B, Cuevas, C: Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations. Nonlinear Anal. Real World Appl. 11, 3532-3554 (2010). doi:10.1016/j.nonrwa.2010.01.002
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , pp. 3532-3554
    • Agarwal, R.P.1    Andrade, B.2    Cuevas, C.3
  • 6
    • 85087595614 scopus 로고    scopus 로고
    • Some existence results for boundary value problems for fractional differential inclusions with non-separated boundary conditions
    • Ahmad, B, Ntouyas, SK: Some existence results for boundary value problems for fractional differential inclusions with non-separated boundary conditions. Electron. J. Qual. Theory Diff. Equ. 2010(17):71 (2010)
    • (2010) Electron. J. Qual. Theory Diff. Equ. , vol.2010 , Issue.17 , pp. 71
    • Ahmad, B.1    Ntouyas, S.K.2
  • 7
    • 77955713929 scopus 로고    scopus 로고
    • On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
    • doi:10.1016/j.amc.2010.05.080
    • Ahmad, B, Sivasundaram, S: On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order. Appl. Math. Comput. 217, 480-487 (2010). doi:10.1016/j.amc.2010.05.080
    • (2010) Appl. Math. Comput. , vol.217 , pp. 480-487
    • Ahmad, B.1    Sivasundaram, S.2
  • 8
    • 76749131977 scopus 로고    scopus 로고
    • Existence of solutions for irregular boundary value problems of non-linear fractional differential equations
    • doi:10.1016/j.aml.2009.11.004
    • Ahmad, B: Existence of solutions for irregular boundary value problems of non-linear fractional differential equations. Appl. Math. Lett. 23, 390-394 (2010). doi:10.1016/j.aml.2009.11.004
    • (2010) Appl. Math. Lett. , vol.23 , pp. 390-394
    • Ahmad, B.1
  • 9
    • 71649083074 scopus 로고    scopus 로고
    • On positive solutions of a nonlocal fractional boundary value problem
    • doi:10.1016/j.na.2009.07.033
    • Bai, ZB: On positive solutions of a nonlocal fractional boundary value problem. Nonlinear Anal. 72, 916-924 (2010). doi:10.1016/j.na.2009.07.033
    • (2010) Nonlinear Anal. , vol.72 , pp. 916-924
    • Bai, Z.B.1
  • 10
    • 77950369029 scopus 로고    scopus 로고
    • The nonlocal cauchy problem for nonlinear fractional integrodifferential equations in banach spaces
    • doi:10.1016/j.na.2010.02.035
    • Balachandran, K, Trujillo, JJ: The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces. Nonlinear Anal. 72, 4587-4593 (2010). doi:10.1016/j.na.2010.02.035
    • (2010) Nonlinear Anal. , vol.72 , pp. 4587-4593
    • Balachandran, K.1    Trujillo, J.J.2
  • 11
    • 74149089358 scopus 로고    scopus 로고
    • Positive solutions to singular boundary value problem for nonlinear fractional differential equation
    • doi:10.1016/j.camwa.2009.06.034
    • Zhang, S: Positive solutions to singular boundary value problem for nonlinear fractional differential equation. Comput. Math. Appl. 59, 1300-1309 (2010). doi:10.1016/j.camwa.2009.06.034
    • (2010) Comput. Math. Appl. , vol.59 , pp. 1300-1309
    • Zhang, S.1
  • 12
    • 77953683625 scopus 로고    scopus 로고
    • An existence result for a superlinear fractional differential equation
    • doi:10.1016/j.aml.2010.04.049
    • Baleanu, D, Mustafa, OG, Agarwal, RP: An existence result for a superlinear fractional differential equation. Appl. Math. Lett. 23, 1129-1132 (2010). doi:10.1016/j.aml.2010.04.049
    • (2010) Appl. Math. Lett. , vol.23 , pp. 1129-1132
    • Baleanu, D.1    Mustafa, O.G.2    Agarwal, R.P.3
  • 13
    • 76649111047 scopus 로고    scopus 로고
    • On the global existence of solutions to a class of fractional differential equations
    • doi:10.1016/j.camwa.2009.08.028
    • Baleanu, D, Mustafa, OG: On the global existence of solutions to a class of fractional differential equations. Comput. Math. Appl. 59, 1835-1841 (2010). doi:10.1016/j.camwa.2009.08.028
    • (2010) Comput. Math. Appl. , vol.59 , pp. 1835-1841
    • Baleanu, D.1    Mustafa, O.G.2
  • 14
    • 79960976705 scopus 로고    scopus 로고
    • Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
    • doi:10.1016/j.camwa.2011.03.001
    • Agarwal, RP, Ahmad, B: Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions. Comput. Math. Appl. 62, 1200-1214 (2011). doi:10.1016/j.camwa.2011.03.001
    • (2011) Comput. Math. Appl. , vol.62 , pp. 1200-1214
    • Agarwal, R.P.1    Ahmad, B.2
  • 15
    • 84866709196 scopus 로고    scopus 로고
    • Existence results for nonlinear fractional differential equations with four-point nonlocal type integral boundary conditions
    • Ahmad, B, Ntouyas, SK: Existence results for nonlinear fractional differential equations with four-point nonlocal type integral boundary conditions. Afr. Diaspora J. Math. 11, 29-39 (2011)
    • (2011) Afr. Diaspora J. Math. , vol.11 , pp. 29-39
    • Ahmad, B.1    Ntouyas, S.K.2
  • 16
    • 80052938977 scopus 로고    scopus 로고
    • A nagumo-like uniqueness theorem for fractional differential equations
    • Article ID 392003, 6
    • Baleanu, D, Mustafa, OG, O'Regan, D: A Nagumo-like uniqueness theorem for fractional differential equations. J. Phys. A, Math. Theor 44(39) (2011). Article ID 392003, 6
    • (2011) J. Phys. A, Math. Theor , vol.44 , Issue.39
    • Baleanu, D.1    Mustafa, O.G.2    O'Regan, D.3
  • 17
    • 84863447182 scopus 로고    scopus 로고
    • Riemann-liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
    • Ahmad, B, Nieto, JJ: Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions. Bound. Value Probl. 2011(9):36 (2011)
    • (2011) Bound. Value Probl. , vol.2011 , Issue.9 , pp. 36
    • Ahmad, B.1    Nieto, J.J.2
  • 18
    • 80054946851 scopus 로고    scopus 로고
    • A study of nonlinear langevin equation involving two fractional orders in different intervals
    • doi:10.1016/j.nonrwa.2011.07.052
    • Ahmad, B, Nieto, JJ, Alsaedi, A, El-Shahed, M: A study of nonlinear Langevin equation involving two fractional orders in different intervals. Nonlinear Anal. Real World Appl. 13, 599-606 (2012). doi:10.1016/j.nonrwa.2011. 07.052
    • (2012) Nonlinear Anal. Real World Appl. , vol.13 , pp. 599-606
    • Ahmad, B.1    Nieto, J.J.2    Alsaedi, A.3    El-Shahed, M.4
  • 20
    • 43649094597 scopus 로고    scopus 로고
    • Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions
    • DOI 10.1016/j.nonrwa.2007.05.005, PII S1468121807000946
    • Ahmad, B, Alsaedi, A, Alghamdi, B: Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions. Nonlinear Anal. Real World Appl. 9, 1727-1740 (2008). doi:10.1016/j.nonrwa.2007.05.005 (Pubitemid 351685811)
    • (2008) Nonlinear Analysis: Real World Applications , vol.9 , Issue.4 , pp. 1727-1740
    • Ahmad, B.1    Alsaedi, A.2    Alghamdi, B.S.3
  • 21
    • 55549118921 scopus 로고    scopus 로고
    • Second-order boundary value problems with integral boundary conditions
    • doi:10.1016/j.na.2007.12.007
    • Boucherif, A: Second-order boundary value problems with integral boundary conditions. Nonlinear Anal. 70, 364-371 (2009). doi:10.1016/j.na.2007.12.007
    • (2009) Nonlinear Anal. , vol.70 , pp. 364-371
    • Boucherif, A.1
  • 22
    • 33646533211 scopus 로고    scopus 로고
    • Diffraction of a plane wave by an elastic knife-edge adjacent to a strip
    • Ahmad, B, Hayat, T, Asghar, S: Diffraction of a plane wave by an elastic knife-edge adjacent to a strip. Canad. Appl. Math. Quart. 9, 303-316 (2001)
    • (2001) Canad. Appl. Math. Quart. , vol.9 , pp. 303-316
    • Ahmad, B.1    Hayat, T.2    Asghar, S.3
  • 23
    • 0030103908 scopus 로고    scopus 로고
    • Diffraction from an absorbing half plane due to a finite cylindrical source
    • Asghar, S, Ahmad, B, Ayub, M: Diffraction from an absorbing half plane due to a finite cylindrical source. Acustica-Acta Acustica. 82, 365-367 (1996)
    • (1996) Acustica-acta Acustica , vol.82 , pp. 365-367
    • Asghar, S.1    Ahmad, B.2    Ayub, M.3
  • 27
    • 0001188942 scopus 로고
    • Two remarks on the method of successive approximations
    • Krasnoselskii, MA: Two remarks on the method of successive approximations. Uspekhi Mat. Nauk 10, 123-127 (1955)
    • (1955) Uspekhi Mat. Nauk , vol.10 , pp. 123-127
    • Krasnoselskii, M.A.1
  • 32
    • 0000017706 scopus 로고
    • An application of the kakutani-ky fan theorem in the theory of ordinary differential equations
    • Lasota, A, Opial, Z: 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, 781-786 (1965)
    • (1965) Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. , vol.13 , pp. 781-786
    • Lasota, A.1    Opial, Z.2
  • 33
    • 0002687438 scopus 로고
    • Théorèmes d'existence de solutions d'inclusions différentielles
    • Granas, A, Frigon, M (eds.) Kluwer Acad. Publ, Dordrecht
    • Frigon, M: Théorèmes d'existence de solutions d'inclusions différentielles. In: Granas, A, Frigon, M (eds.) Topological Methods in Differential Equations and Inclusions, NATO ASI Series C, vol. 472, pp. 51-87. Kluwer Acad. Publ, Dordrecht (1995)
    • (1995) Topological Methods in Differential Equations and Inclusions, NATO ASI Series C , vol.472 , pp. 51-87
    • Frigon, M.1
  • 34
    • 51249191814 scopus 로고
    • Multivalued contraction mappings in generalized metric spaces
    • doi:10.1007/BF02771543
    • Covitz, H, Nadler, SB Jr: Multivalued contraction mappings in generalized metric spaces. Israel J. Math. 8, 5-11 (1970). doi:10.1007/BF02771543
    • (1970) Israel J. Math. , vol.8 , pp. 5-11
    • Covitz, H.1    Nadler Jr., S.B.2
  • 35
    • 0002110530 scopus 로고
    • Extensions and selections of maps with decomposable values
    • Bressan, A, Colombo, G: Extensions and selections of maps with decomposable values. Studia Math. 90, 69-86 (1988)
    • (1988) Studia Math. , vol.90 , pp. 69-86
    • Bressan, A.1    Colombo, G.2


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