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
- Elke Wolf, Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Youssef N Raffoul, Stability and boundedness in nonlinear and neutral difference equations using new variation of parameters formula and fixed point theory , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
- Vladik Kreinovich, Engineering design under imprecise probabilities: computational complexity , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- Liancheng Wang, Bo Yang, New upper estimate for positive solutions to a second order boundary value problem with a parameter , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Cheok Choi, Gen Nakamura, Kenji Shirota, Variational approach for identifying a coefficient of the wave equation , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- Rinko Shinzato, Wataru Takahashi, A Strong Convergence Theorem by a New Hybrid Method for an Equilibrium Problem with Nonlinear Mappings in a Hilbert Space , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Silvestru Sever Dragomir, Bounds for the generalized \( (\Phi;f) \)-mean difference , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- Masaru Ikehata, Inverse Crack Problem and Probe Method , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- M. H. Saleh, S. M. Amer, M. A. Mohamed, N. S. Abdelrhman, Approximate solution of fractional integro-differential equation by Taylor expansion and Legendre wavelets methods , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Gabriel M. Antón Marval, René E. Castillo, Julio C. Ramos-Fernández, Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces , CUBO, A Mathematical Journal: Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
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
