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
- Nadjet Abada, Mouffak Benchohra, Hadda Hammouche, Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Fernando Levstein, Carolina Maldonado, Generalized quadrangles and subconstituent algebra , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- F. Cardoso, G. Vodev, Semi-Classical Dispersive Estimates for the Wave and Schr¨odinger Equations with a Potential in Dimensions 𓃠≥ 4 , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Masaru Ikehata, A Remark on the Enclosure Method for a Body with an Unknown Homogeneous Background Conductivity , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Nasir Ganikhodjaev, Seyit Temir, Hasan Akin, The exact solution of the Potts models with external magnetic field on the Cayley tree , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- Thomas Blesgen, Two-Phase Structures as Singular Limit of a one-dimensional Discrete Model , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- Dongsheng Liu, A note on discrete monotonic dynamical systems , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- Bruno Costa, Spectral Methods for Partial Differential Equations , CUBO, A Mathematical Journal: Vol. 6 No. 4 (2004): CUBO, A Mathematical Journal
- Xiao-Chuan Cai, Maksymilian Dryja, Marcus Sarkis, A Restricted Additive Schwarz Preconditioner with Harmonic Overlap for Symmetric Positive Definite Linear Systems , CUBO, A Mathematical Journal: Vol. 6 No. 4 (2004): CUBO, A Mathematical Journal
- Ana Fuenzalida, Alicia Labra, Cristian Mallol, On Quasi orthogonal Bernstein Jordan algebras , CUBO, A Mathematical Journal: No. 8 (1992): CUBO, Revista de Matemática
<< < 12 13 14 15 16 17 18 19 20 21 22 23 > >>
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
