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http://dx.doi.org/10.7858/eamj.2017.025

EXISTENCE OF POSITIVE SOLUTIONS FOR EIGENVALUE PROBLEMS OF SINGULAR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

Lee, Yong-Hoon (Department of Mathematics, Pusan National University)
Lee, Jinsil (Department of Mathematics, Pusan National University)

Publication Information

East Asian mathematical journal / v.33, no.3, 2017 , pp. 323-331 More about this Journal

Abstract

In this paper, we consider the existence of positive solutions for eigenvalue problems of nonlinear fractional differential equations with singular weights. We give various conditions on f and apply Krasnoselskii's Cone Fixed Point Theorem. As a result, we obtain several existence and nonexistence results corresponding to ${\lambda}$ in certain intervals.

Keywords

fractional differential equation; eigenvalue problem; positive solution; existence of solution; singular weight;

Citations & Related Records

Reference

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