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
- Elhoussain Arhrrabi, Hamza El-Houari, Fractional Sobolev space: Study of Kirchhoff-Schrödinger systems with singular nonlinearity , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
- Paul W. Eloe, Jeffrey T. Neugebauer, Maximum, anti-maximum principles and monotone methods for boundary value problems for Riemann-Liouville fractional differential equations in neighborhoods of simple eigenvalues , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Djalal Boucenna, Abdellatif Ben Makhlouf, Mohamed Ali Hammami, On Katugampola fractional order derivatives and Darboux problem for differential equations , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- George A. Anastassiou, Fractional Voronovskaya type asymptotic expansions for quasi-interpolation neural network operators , CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal
- Seyed Mostafa Sajjadi, Ghasem Alizadeh Afrouzi, On a class of fractional \(p(x,y)-\)Kirchhoff type problems with indefinite weight , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Hamza El-Houari, Lalla Saádia Chadli, Hicham Moussa, On a class of fractional Γ(.)-Kirchhoff-Schrödinger system type , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- A. Bultheel, H. Mart´Ä±nez, An introduction to the Fractional Fourier Transform and friends , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- George A. Anastassiou, Spline left fractional monotone approximation involving left fractional differential operators , CUBO, A Mathematical Journal: Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal
- S. Albeverio, Ya. Belopolskaya, Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Vikram Singh, Dwijendra N Pandey, Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations , 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
