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Existence and uniqueness of positive solutions to fractional boundary value problems with nonlinear boundary conditions

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2013

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Springer

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Matematik
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Abstract

In this manuscript, we consider two problems of boundary value problems for a fractional differential equation. A fixed point theorem in partially ordered sets and a contraction mapping principle are applied to prove the existence of at least one positive solution for both fractional boundary value problems.

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Nyamoradi, Nemat/0000-0002-4172-7658

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Cone, Contraction Mapping Principle, Fixed Point Theorem, Riemann-Liouville Fractional Derivative

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Nyamoradi, Nemat; Baleanu, Dumitru; Agarwal, Ravi P. (2013). "Existence and uniqueness of positive solutions to fractional boundary value problems with nonlinear boundary conditions", Advances in Difference Equations.

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