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Volumn 2012, Issue , 2012, Pages

Existence of positive solutions for eigenvalue problem of nonlinear fractional differential equations

Author keywords

Eigenvalue problem; Fixed point; Fractional differential equation; Positive solution

Indexed keywords


EID: 84871337542     PISSN: 16871839     EISSN: 16871847     Source Type: Journal    
DOI: 10.1186/1687-1847-2012-66     Document Type: Article
Times cited : (11)

References (22)
  • 1
    • 0032115069 scopus 로고    scopus 로고
    • Nonlinear functional differential equations of arbitrary order
    • doi:10.1016/S0362-546X(97)00525-7. doi:10.1016/S0362-546X(97)00525-7
    • El-sayed, AMA: Nonlinear functional differential equations of arbitrary order. Nonlinear Anal 33, 181-186 (1998). doi:10.1016/S0362-546X(97)00525-7. doi:10.1016/S0362-546X(97)00525-7
    • (1998) Nonlinear Anal , vol.33 , pp. 181-186
    • El-Sayed, A.M.A.1
  • 3
    • 25144514177 scopus 로고    scopus 로고
    • Differential equations of fractional order: Methods, results and problems II
    • doi:10.1080/0003681021000022032. doi:10.1080/0003681021000022032
    • Kilbas, AA, Trujillo, JJ: Differential equations of fractional order: methods, results and problems II. Appl Anal 81, 435-493 (2002). doi:10.1080/0003681021000022032. doi:10.1080/0003681021000022032
    • (2002) Appl Anal , vol.81 , pp. 435-493
    • Kilbas, A.A.1    Trujillo, J.J.2
  • 4
    • 1242327688 scopus 로고    scopus 로고
    • Differential equations of fractional order: Methods, results and problems i
    • doi:10.1080/00036810108840931. doi:10.1080/00036810108840931
    • Kilbas, AA, Trujillo, JJ: Differential equations of fractional order: methods, results and problems I. Appl Anal 78, 153-192 (2001). doi:10.1080/00036810108840931. doi:10.1080/00036810108840931
    • (2001) Appl Anal , vol.78 , pp. 153-192
    • Kilbas, A.A.1    Trujillo, J.J.2
  • 7
    • 25144460994 scopus 로고    scopus 로고
    • Positive solutions for boundary value problem of nonlinear fractional differential equation
    • doi:10.1016/j.jmaa.2005.02.052. doi:10.1016/j.jmaa.2005.02.052
    • Bai, ZB, Lu, HS: Positive solutions for boundary value problem of nonlinear fractional differential equation. J Math Anal Appl 311, 495-505 (2005). doi:10.1016/j.jmaa.2005.02.052. doi:10.1016/j.jmaa.2005.02.052
    • (2005) J Math Anal Appl , vol.311 , pp. 495-505
    • Bai, Z.B.1    Lu, H.S.2
  • 8
    • 71649083074 scopus 로고    scopus 로고
    • On positive solutions of 495a nonlocal fractional boundary value problem
    • doi:10.1016/j.na.2009.07.033
    • Bai, ZB: On positive solutions of 495a nonlocal fractional boundary value problem. Non-linear Anal 72, 916-924 (2010). doi:10.1016/j.na.2009.07.033
    • (2010) Non-linear Anal , vol.72 , pp. 916-924
    • Bai, Z.B.1
  • 9
    • 71649090846 scopus 로고    scopus 로고
    • The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application
    • doi:10.1016/j.na.2009.07.012. doi:10.1016/j.na.2009.07.012
    • Jiang, DQ, Yuan, CY: The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application. Nonlinear Anal 72, 710-719 (2010). doi:10.1016/j.na.2009.07.012. doi:10.1016/j.na.2009.07.012
    • (2010) Nonlinear Anal , vol.72 , pp. 710-719
    • Jiang, D.Q.1    Yuan, C.Y.2
  • 10
    • 79955563070 scopus 로고    scopus 로고
    • Positive solutions for a nonlocal fractional differential equation
    • doi:10.1016/j.na.2011.02.043. doi:10.1016/j.na.2011.02.043
    • Wang, YQ, Liu, LS, Wu, YH: Positive solutions for a nonlocal fractional differential equation. Nonlinear Anal 74, 3599-3605 (2011). doi:10.1016/j.na. 2011.02.043. doi:10.1016/j.na.2011.02.043
    • (2011) Nonlinear Anal , vol.74 , pp. 3599-3605
    • Wang, Y.Q.1    Liu, L.S.2    Wu, Y.H.3
  • 11
    • 80051599946 scopus 로고    scopus 로고
    • Positive solutions for a class of fractional boundary value problem with changing sign nonlinearity
    • doi:10.1016/j.na.2011.06.026. doi:10.1016/j.na.2011.06.026
    • Wang, YQ, Liu, LS, Wu, YH: Positive solutions for a class of fractional boundary value problem with changing sign nonlinearity. Nonlinear Anal 74, 6434-6441 (2011). doi:10.1016/j.na.2011.06.026. doi:10.1016/j.na.2011.06.026
    • (2011) Nonlinear Anal , vol.74 , pp. 6434-6441
    • Wang, Y.Q.1    Liu, L.S.2    Wu, Y.H.3
  • 12
    • 0034670545 scopus 로고    scopus 로고
    • The existence of a positive solution for a nonlinear fractional differential equation
    • doi:10.1006/jmaa.2000.7123. doi:10.1006/jmaa.2000.7123
    • Zhang, SQ: The existence of a positive solution for a nonlinear fractional differential equation. J Math Anal Appl 252, 804-812 (2000). doi:10.1006/jmaa.2000.7123. doi:10.1006/jmaa.2000.7123
    • (2000) J Math Anal Appl , vol.252 , pp. 804-812
    • Zhang, S.Q.1
  • 13
    • 0037308989 scopus 로고    scopus 로고
    • Existence of positive solution for some class of nonlinear fractional differential equations
    • doi:10.1016/S0022-247X(02)00583-8. doi:10.1016/S0022-247X(02)00583-8
    • Zhang, SQ: Existence of positive solution for some class of nonlinear fractional differential equations. J Math Anal Appl 278, 136-148 (2003). doi:10.1016/S0022-247X(02)00583-8. doi:10.1016/S0022-247X(02)00583-8
    • (2003) J Math Anal Appl , vol.278 , pp. 136-148
    • Zhang, S.Q.1
  • 14
    • 68349091496 scopus 로고    scopus 로고
    • Positive solutions for boundary value problems of nonlinear fractional differential equation
    • doi:10.1016/j.na.2009.04.045. doi:10.1016/j.na.2009.04.045
    • Liang, SH, Zhang, JH: Positive solutions for boundary value problems of nonlinear fractional differential equation. Nonlinear Anal 71, 5545-5550 (2009). doi:10.1016/j.na.2009.04.045. doi:10.1016/j.na.2009.04.045
    • (2009) Nonlinear Anal , vol.71 , pp. 5545-5550
    • Liang, S.H.1    Zhang, J.H.2
  • 15
    • 78049442199 scopus 로고    scopus 로고
    • The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations
    • Zhao, YG, Sun, SR, Han, ZL, Li, QP: The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations. Commun N S N Simulat. 16, 2086-2097 (2011)
    • (2011) Commun N S N Simulat. , vol.16 , pp. 2086-2097
    • Zhao, Y.G.1    Sun, S.R.2    Han, Z.L.3    Li, Q.P.4
  • 16
    • 79952445167 scopus 로고    scopus 로고
    • Positive solutions for boundary value problems of nonlinear fractional differential equations
    • doi:10.1016/j.amc.2011.01.103. doi:10.1016/j.amc.2011.01.103
    • Zhao, YG, Sun, SR, Han, ZL, Zhang, M: Positive solutions for boundary value problems of nonlinear fractional differential equations. Appl Math Comput 217, 6950-6958 (2011). doi:10.1016/j.amc.2011.01.103. doi:10.1016/j.amc.2011.01. 103
    • (2011) Appl Math Comput , vol.217 , pp. 6950-6958
    • Zhao, Y.G.1    Sun, S.R.2    Han, Z.L.3    Zhang, M.4
  • 17
    • 79961029650 scopus 로고    scopus 로고
    • Existence of positive solutions for the boundary value problems of nonlinear fractional differential equations
    • Yang, X, Wei, ZL, Dong, W: Existence of positive solutions for the boundary value problems of nonlinear fractional differential equations. Commun N S N Simulat. 17, 85-92 (2012)
    • (2012) Commun N S N Simulat. , vol.17 , pp. 85-92
    • Yang, X.1    Wei, Z.L.2    Dong, W.3
  • 18
    • 0031106937 scopus 로고    scopus 로고
    • Positive solutions for nonlinear eigenvalue problems
    • doi:10.1006/jmaa.1997.5334
    • Henderson, J, Wang, HY: Positive solutions for nonlinear eigenvalue problems. J Math Anal Appl. 208, 252-259 (1997). doi:10.1006/jmaa.1997.5334
    • (1997) J Math Anal Appl. , vol.208 , pp. 252-259
    • Henderson, J.1    Wang, H.Y.2
  • 19
    • 68349100153 scopus 로고    scopus 로고
    • Existence and uniqueness of mild solutions to a semilinear integrodifferential equation of fractional order
    • doi:10.1016/j.na.2009.04.058. doi:10.1016/j.na.2009.04.058
    • Chang, YK, Kavitha, V, Arjunan, MM: Existence and uniqueness of mild solutions to a semilinear integrodifferential equation of fractional order. Nonlinear Anal 71, 5551-5559 (2009). doi:10.1016/j.na.2009.04.058. doi:10.1016/j.na.2009.04.058
    • (2009) Nonlinear Anal , vol.71 , pp. 5551-5559
    • Chang, Y.K.1    Kavitha, V.2    Arjunan, M.M.3
  • 20
    • 77949570290 scopus 로고    scopus 로고
    • Solvability for impulsive neutral integro-differential equations with state-dependent delay via fractional operators
    • doi:10.1007/s10957-009-9612-6
    • Chang, YK, Li, WS: Solvability for impulsive neutral integro-differential equations with state-dependent delay via fractional operators. J Optim Theory Appl. 144, 445-459 (2010). doi:10.1007/s10957-009-9612-6
    • (2010) J Optim Theory Appl. , vol.144 , pp. 445-459
    • Chang, Y.K.1    Li, W.S.2
  • 21
    • 79957997682 scopus 로고    scopus 로고
    • Existence results for neutral functional integrodifferential equations with infinite delay via fractional operators
    • doi:10.1007/s12190-010-0397-4. doi:10.1007/s12190-010-0397-4
    • Chang, YK, Arjunan, MM, Kavitha, V: Existence results for neutral functional integrodifferential equations with infinite delay via fractional operators. J Appl Math Comput 36, 201-218 (2011). doi:10.1007/s12190-010-0397-4. doi:10.1007/s12190-010-0397-4
    • (2011) J Appl Math Comput , vol.36 , pp. 201-218
    • Chang, Y.K.1    Arjunan, M.M.2    Kavitha, V.3
  • 22
    • 84855600335 scopus 로고    scopus 로고
    • Existence of positive solutions for fractional differential equation with nonlocal boundary condition
    • Art ID 328394. doi:10.1155/2011/328394
    • Gao, HL, Han, XL: Existence of positive solutions for fractional differential equation with nonlocal boundary condition. Inter Diff Equ 2011 (2011). Art ID 328394. doi:10.1155/2011/328394
    • (2011) Inter Diff Equ , vol.2011
    • Gao, H.L.1    Han, X.L.2


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