Existence of solutions to nonlinear Langevin equation involving two fractional orders with boundary value conditions

Boundary Value Problems

Volumn 2011, Issue , 2011, Pages

  Chen, Anping ^a,b   Chen, Yi ^b  

^a XIANGNAN UNIVERSITY   (China)

^b XIANGTAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79959261387     PISSN: 16872762     EISSN: 16872770     Source Type: Journal    
DOI: 10.1155/2011/516481     Document Type: Article

References (12)

1. Alsaedi A., Existence of solutions for integrodifferential equations of fractional order with antiperiodic boundary conditions International Journal of Differential Equations 2009 2009 9
2. Ahmad B., Existence of solutions for fractional differential equations of order q[2,3) with anti-periodic boundary conditions Journal of Applied Mathematics and Computing 2010 34 1-2 385 391
3. Ahmad B., Otero-Espinar V., Existence of solutions for fractional differential inclusions with antiperiodic boundary conditions Boundary Value Problems 2009 2009 11
4. Bai Z., L H., Positive solutions for boundary value problem of nonlinear fractional differential equation Journal of Mathematical Analysis and Applications 2005 311 2 495 505 (Pubitemid 41350217)
5. Li C. F., Luo X. N., Zhou Y., Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations Computers Mathematics with Applications 2010 59 3 1363 1375
6. Lakshmikantham V., Leela S., Devi J. V., Theory of Fractional Dynamic Systems 2009 Cambridge, UK Cambridge Academic
7. Tian Y., Chen A., The existence of positive solution to three-point singular boundary value problem of fractional differential equation Abstract and Applied Analysis 2009 2009 18
8. Zhang S., Positive solutions for boundary-value problems of nonlinear fractional differential equations Electronic Journal of Differential Equations 2006 2006 1 12 (Pubitemid 43448954)
9. Ahmad B., Nieto J. J., Solvability of nonlinear Langevin equation involving two fractional orders with Dirichlet boundary conditions International Journal of Differential Equations 2010 2010 10
10. Ahmad B., Eloe P., A nonlocal boundary value problem for a nonlinear fractional differential equation with two indices Communications on Applied Nonlinear Analysis 2010 17 3 69 80
11. Lim S. C., Li M., Teo L. P., Langevin equation with two fractional orders Physics Letters A 2008 372 42 6309 6320
12. Lim S. C., Teo L. P., The fractional oscillator process with two indices Journal of Physics A 2009 42 34