Mathematical Solvability of a Caputo Fractional Polymer Degradation Model Using Further Generalized Functions
Joint Authors
Mugisha, Stella
Doungmo Goufo, Emile Franc
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-30
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The continuous fission equation with derivative of fractional order α, describing the polymer chain degradation, is solved explicitly.
We prove that, whether the breakup rate depends on the size of the chain breaking up or not, the evolution of the polymer sizes distribution is governed by a combination of higher transcendental functions, namely, Mittag-Leffler function, the further generalized G-function, and the Pochhammer polynomial.
In particular, this shows the existence of an eigenproperty; that is, the system describing fractional polymer chain degradation contains replicated and partially replicated fractional poles, whose effects are given by these functions.
American Psychological Association (APA)
Doungmo Goufo, Emile Franc& Mugisha, Stella. 2014. Mathematical Solvability of a Caputo Fractional Polymer Degradation Model Using Further Generalized Functions. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-468566
Modern Language Association (MLA)
Doungmo Goufo, Emile Franc& Mugisha, Stella. Mathematical Solvability of a Caputo Fractional Polymer Degradation Model Using Further Generalized Functions. Mathematical Problems in Engineering No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-468566
American Medical Association (AMA)
Doungmo Goufo, Emile Franc& Mugisha, Stella. Mathematical Solvability of a Caputo Fractional Polymer Degradation Model Using Further Generalized Functions. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-468566
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468566