Singular Positone and Semipositone Boundary Value Problems of Nonlinear Fractional Differential Equations

Chengjun Yuan, Daqing Jiang and Xiaojie Xu

Mathematical Problems in Engineering, 2009, vol. 2009, 1-17

Abstract:

We present some new existence results for singular positone and semipositone nonlinear fractional boundary value problem D 𠛼 0 + 𠑢 ( 𠑡 ) = 𠜇 𠑎 ( 𠑡 ) 𠑓 ( 𠑡 , 𠑢 ( 𠑡 ) ) ,  0 < 𠑡 < 1 , 𠑢 ( 0 ) = 𠑢 ( 1 ) = 𠑢  ( 0 ) = 𠑢  ( 1 ) = 0 , where 𠜇 > 0 , 𠑎 , and 𠑓 are continuous, 𠛼 ∈ ( 3 , 4 ] is a real number, and D 𠛼 0 + is Riemann-Liouville fractional derivative. Throughout our nonlinearity may be singular in its dependent variable. Two examples are also given to illustrate the main results.

Date: 2009
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2009/535209.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2009/535209.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:535209

DOI: 10.1155/2009/535209

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().