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
- Said Ait Temghart, Chakir Allalou, Adil Abbassi, Existence results for a class of local and nonlocal nonlinear elliptic problems , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- A. Zerki, K. Bachouche, K. Ait-Mahiout, Existence of solutions for higher order \(\phi-\)Laplacian BVPs on the half-line using a one-sided Nagumo condition with nonordered upper and lower solutions , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy, On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra, Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Raymond Mortini, A nice asymptotic reproducing kernel , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Abhijit Banerjee, Arpita Kundu, On uniqueness of \(L\)-functions in terms of zeros of strong uniqueness polynomial , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Fatima Fennour, Soumia Saïdi, On a class of evolution problems driven by maximal monotone operators with integral perturbation , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Fethi Soltani, Extremal functions and best approximate formulas for the Hankel-type Fock space , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Vito Lampret, Estimating the remainder of an alternating \(p\)-series revisited , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- Ricardo Castro Santis, Fernando Córdova-Lepe, Ana Belén Venegas, Biorreactor de fermentación con tasa estocástica de consumo , CUBO, A Mathematical Journal: In Press
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
