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 priori b...

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Bibliografische Detailangaben

1. Verfasser:	Leigh Becker
Format:	Artigo
Sprache:	Inglês
Veröffentlicht:	University of Szeged 2016-09-01
Schriftenreihe:	Electronic Journal of Qualitative Theory of Differential Equations
Schlagworte:	abel integral equations fixed points fractional differential equations mittag-leffler functions resolvents riemann–liouville operators singular kernels volterra integral equations
Online-Zugang:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5093
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