Solutions to Abel’s Integral Equations in Distributions
Department of Mathematics and Computer Science, Brandon University, Brandon, MB R7A 6A9, Canada
Author to whom correspondence should be addressed.
Received: 10 August 2018 / Revised: 27 August 2018 / Accepted: 31 August 2018 / Published: 2 September 2018
The goal of this paper is to study fractional calculus of distributions, the generalized Abel’s integral equations, as well as fractional differential equations in the distributional space
based on inverse convolutional operators and Babenko’s approach. Furthermore, we provide interesting applications of Abel’s integral equations in viscoelastic systems, as well as solving other integral equations, such as
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Share & Cite This Article
MDPI and ACS Style
Li, C.; Humphries, T.; Plowman, H. Solutions to Abel’s Integral Equations in Distributions. Axioms 2018, 7, 66.
Li C, Humphries T, Plowman H. Solutions to Abel’s Integral Equations in Distributions. Axioms. 2018; 7(3):66.
Li, Chenkuan; Humphries, Thomas; Plowman, Hunter. 2018. "Solutions to Abel’s Integral Equations in Distributions." Axioms 7, no. 3: 66.
Show more citation formats
Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
[Return to top]
For more information on the journal statistics, click here
Multiple requests from the same IP address are counted as one view.