Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/42372
Title: Existence of positive solutions in the space of Lipschitz functions to a class of fractional differential equations of arbitrary order
Authors: López, B. 
Harjani, J. 
Sadarangani, K. 
UNESCO Clasification: 12 Matemáticas
Keywords: Fractional calculus
Boundary value problem
Hölder spaces
Schauder fixed point theorem
Issue Date: 2018
Publisher: 1578-7303
Journal: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales - Serie A: Matemáticas 
Abstract: In this paper, we study sufficient conditions for the existence of positive solutions to a class of fractional differential equations of arbitrary order. Our solutions are placed in the space of Lipschitz functions and, perhaps, this is a part of the originality of the paper. For our study, we use a recent result about the relative compactness in Holder spaces and the classical Schauder fixed point theorem.
URI: http://hdl.handle.net/10553/42372
ISSN: 1578-7303
DOI: 10.1007/s13398-017-0426-3
Source: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas[ISSN 1578-7303],v. 112, p. 1281-1294
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