Sum and Difference Compositions in Discrete Fractional Calculus
-
Michael Holm
s-mholm3@math.unl.edu
Downloads
DOI:
https://doi.org/10.4067/S0719-06462011000300009Abstract
We introduce fractional sum and difference operators, study their behavior and develop a complete theory governing their compositions. This theory is then applied to solve a general, fractional initial value problem.
Keywords
Similar Articles
- Rubén A. Hidalgo, The structure of extended function groups , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- H. Özlem Güney, G. Murugusundaramoorthy, K. Vijaya, Subclasses of \(\lambda\)-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- H. O. Fattorini, Regular and Strongly Regular Time and Norm Optimal Controls , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- Vjacheslav A. Yurko, Recovering Higher-order Differential Operators on Star-type Graphs from Spectra , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- Ziqi Sun, Conjectures in Inverse Boundary Value Problems for Quasilinear Elliptic Equations , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- Hassan Sedaghat, Global Attractivity, Oscillations and Chaos in A Class of Nonlinear, Second Order Difference Equations , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- Frederico Furtado, Felipe Pereira, On the Scale Up Problem for Two-Phase Flow in Petroleum Reservoirs , CUBO, A Mathematical Journal: Vol. 6 No. 4 (2004): CUBO, A Mathematical Journal
- Nafaa Chbili, Sym´etries en Dimension Trois: Une Approche Quantique , CUBO, A Mathematical Journal: Vol. 6 No. 4 (2004): CUBO, A Mathematical Journal
- Claudio Vidal, Gonçalo Renildo, Homographic solutions in the ð‘›-body problem , CUBO, A Mathematical Journal: Vol. 6 No. 4 (2004): CUBO, A Mathematical Journal
- l. M. Proudnikov, Construction of a stabilizing control and solution to a problem about the center and the focus for differential systems with a polynomial part on the right side , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
<< < 8 9 10 11 12 13 14 15 16 17 18 19 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2011-10-01
How to Cite
[1]
M. Holm, “Sum and Difference Compositions in Discrete Fractional Calculus”, CUBO, vol. 13, no. 3, pp. 153–184, Oct. 2011.
Issue
Section
Articles
