Existence of positive eigenpairs is established for Caputo fractional autonomous evolution equations with nonlocal initials by applying the Birkhoff-Kellogg theorem in cones to compact Mittag-Leffler operators.
Zhou,Fractional Evolution Equations and Inclusions: Analysis and Control, Academic Press, London
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Existence of Positive Mild Eigenfunctions for Caputo Fractional Semilinear Evolution Equations with Nonlocal Initial Conditions
Existence of positive eigenpairs is established for Caputo fractional autonomous evolution equations with nonlocal initials by applying the Birkhoff-Kellogg theorem in cones to compact Mittag-Leffler operators.