Fractional Mathematical Operators and Their Computational Approximation
Joint Authors
Crespo, José
Montáns, Francisco Javier
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-21
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Usual applied mathematics employs three fundamental arithmetical operators: addition, multiplication, and exponentiation.
However, for example, transcendental numbers are said not to be attainable via algebraic combination with these fundamental operators.
At the same time, simulation and modelling frequently have to rely on expensive numerical approximations of the exact solution.
The main purpose of this article is to analyze new fractional arithmetical operators, explore some of their properties, and devise ways of computing them.
These new operators may bring new possibilities, for example, in approximation theory and in obtaining closed forms of those approximations and solutions.
We show some simple demonstrative examples.
American Psychological Association (APA)
Crespo, José& Montáns, Francisco Javier. 2016. Fractional Mathematical Operators and Their Computational Approximation. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1112187
Modern Language Association (MLA)
Crespo, José& Montáns, Francisco Javier. Fractional Mathematical Operators and Their Computational Approximation. Mathematical Problems in Engineering No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1112187
American Medical Association (AMA)
Crespo, José& Montáns, Francisco Javier. Fractional Mathematical Operators and Their Computational Approximation. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1112187
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112187