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
- Ajay Kumar, Ekta Tamrakar, Inertial algorithm for solving split inclusion problem in Banach spaces , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Saïd Abbas, Mouffak Benchohra, Jamal-Eddine Lazreg, Gaston M. N‘Guérékata, Hilfer and Hadamard functional random fractional differential inclusions , CUBO, A Mathematical Journal: Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal
- Ram U. Verma, Hybrid (Φ,Ψ,Ï,ζ,θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems , CUBO, A Mathematical Journal: Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal
- George A. Anastassiou, Caputo fractional Iyengar type Inequalities , CUBO, A Mathematical Journal: Vol. 21 No. 2 (2019)
- René Erlín Castillo, Babar Sultan, A derivative-type operator and its application to the solvability of a nonlinear three point boundary value problem , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- V. V. Palin, E. V. Radkevich, The Maxwell problem and the Chapman projection , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Svetlin G. Georgiev, Khaled Zennir, New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations , CUBO, A Mathematical Journal: Vol. 20 No. 2 (2018)
- Alka Chadha, Dwijendra N Pandey, Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses , CUBO, A Mathematical Journal: Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal
- 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)
<< < 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