Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1161.34001
Lakshmikantham, V.; Vatsala, A.S.
Basic theory of fractional differential equations. (English)
[J] Nonlinear Anal., Theory Methods Appl. 69, No. 8, A, 2677-2682 (2008). ISSN 0362-546X

This short paper addresses two interesting problems: establishing the comparison principle for fractional differential equations (FDEs), establishing the global existence theorem of FDEs. Here, the fractional derivative is in the sense of Riemann-Louville. Local existence results are also included but they are not new.
[Li Changpin (Logan)]

MSC 2000:: *34A12 Initial value problems for ODE
34A99 General theory of ODE
26A33 Fractional derivatives and integrals (real functions)
34C11 Qualitative theory of solutions of ODE: Growth, etc.

Keywords: fractional differential equations; basic theory of existence; comparison result

Cited in: Zbl 1210.34003 Zbl 1189.34006

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]