Existence results of positive solutions to boundary value problem for fractional differential equation

Positivity

Volumn 13, Issue 3, 2009, Pages 583-599

  Zhang, Shuqin ^a  

^a CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

Author keywords

Cone; Fixed point index; Fractional differential equation; Positive solutions

Indexed keywords

EID: 67650326945     PISSN: 13851292     EISSN: 15729281     Source Type: Journal    
DOI: 10.1007/s11117-008-2260-5     Document Type: Article

References (9)

1. A.A. Kilbsa, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam (2006).
2. D. Delbosco, L. Rodino, Existence and uniqueness for a nonlinear fractional differential equation, J. Math. Anal. Appl., 204(2) (1996), 609-625.
3. A.A. Kilbas, S.A. Marzan, Nonlinear differential equations in weighted spaces of continuous functions (Rusian), Dokl. Nats. Akad. Nauk Belarusi, 47(1) (2003), 29-35.
4. S. Zhang, The existence of a positive solution for a nonlinear fractional differential equation, J. Math. Anal. Appl., 252 (2000), 804-812.
5. S. Zhang, Positive solution for some class of nonlinear fractional differential equation, J. Math. Anal. Appl., 278(1) (2003), 136-148.
6. R. Lin, F. Liu, Fractional high order methods for the nonlinear fractional ordinary differential equation, Nonlin. Anal., 66 (2007), 856-869.
7. M. Benchohra, J. Henderson, S.K. Ntouyas, A. Ouahab, Existence results for fractional order functional differential equations with infinite delay, J. Math. Anal. Appl., 338 (2008), 1340-1350.
8. I. Podlubny, Fractional Differential Equations, Mathematics in Science and Engineering, Academic Press, New York (1999).
9. M. Krasnoselskii, Positive Solutions of Operator Equations, Noordhoff, Groningen (1964).