Advanced Search

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

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]