Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1192.34008
Jiang, Daqing; Yuan, Chengjun
The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application.
(English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 2, A, 710-719 (2010). ISSN 0362-546X

The authors discuss some new positive properties of the Green function for boundary value problems of nonlinear Dirichlet-type fractional differential equation \align &D_{0^+}^{\alpha}u(t)+f(t,u(t))=0,\quad 0<t<1,\\ &u(0)=u(1)=0 \endalign Applications are also given.
[Minghe Pei (Jilin)]
MSC 2000:
*34A08
34B27 Green functions
47N20 Appl. of operator theory to differential and integral equations
34B15 Nonlinear boundary value problems of ODE

Keywords: Riemann-Liouville's fractional derivative; boundary value problem; positive solution; fixed point theorem in cones

Highlights
Master Server