Properties of the resolvent of a linear Abel integral equation: implications for a complementary fractional equation

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...

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Bibliographic Details
Main Author: Leigh Becker
Format: Article
Language:English
Published: University of Szeged 2016-09-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
abel integral equations
fixed points
fractional differential equations
mittag-leffler functions
resolvents
riemann–liouville operators
singular kernels
volterra integral equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5093

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5093

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