Properties of the resolvent of a linear Abel integral equation: implications for a complementary fractional equation
New and known properties of the resolvent of the kernel of linear Abel integral equations of the form \begin{equation} \tag{A$_\lambda$} x(t) = f(t) - \lambda \int_0^t (t - s)^{q-1}x(s)\,ds, \end{equation} where $\lambda > 0$ and $q \in (0,1)$, are assembled and derived here. First, a prior...
Main Author: | Leigh Becker |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2016-09-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5093 |
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