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Positive solutions in the space of Lipschitz functions to a class of fractional differential equations with infinite-point boundary value conditions
Josefa Caballero,Belén López,Kishin Sadarangani
Keywords:Fractional differential equation; H?lder spaces; Schauder fixed point theorem; positive solution
Abstract:
      The purpose of this paper is to study the existence of positive solutions to a class of fractional differential equations with infinite-point boundary value conditions. Our solutions are placed in the space of Lipschitz functions and the main tools used in the proof of the results are a sufficient condition about the relative compactness in H?lder spaces and the classical Schauder fixed point theorem.