Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions | Zendy

J. Caballero | Zendy; I. J. Cabrera | Zendy; Kishin Sadarangani | Zendy

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Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions

Author(s) -

J. Caballero,

I. J. Cabrera,

Kishin Sadarangani

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/303545

Subject(s) - mathematics , uniqueness , fractional calculus , fixed point theorem , boundary value problem , mathematical analysis , nonlinear system , function (biology) , picard–lindelöf theorem , physics , quantum mechanics , evolutionary biology , biology

We investigate the existence and uniqueness of positive solutions of the following nonlinear fractional differential equation with integral boundary value conditions, , , where , and is the Caputo fractional derivative and is a continuous function. Our analysis relies on a fixed point theorem in partially ordered sets. Moreover, we compare our results with others that appear in the literature

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