Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1228.26008
Abdeljawad, Thabet
On Riemann and Caputo fractional differences. (English)
[J] Comput. Math. Appl. 62, No. 3, 1602-1611 (2011). ISSN 0898-1221

Summary: We define left and right Caputo fractional sums and differences, study some of their properties and then relate them to Riemann-Liouville ones studied before. Also, the discrete version of the $Q$-operator is used to relate the left and right Caputo fractional differences. A Caputo fractional difference equation is solved. The solution proposes discrete versions of Mittag-Leffler functions.

MSC 2000:: *26A33 Fractional derivatives and integrals (real functions)
34A08

Keywords: left fractional sum; right fractional sum; Caputo left and right fractional differences; left and right Riemann differences; discrete Mittag-Leffler function

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]