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
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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.
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