East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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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)
  • Received : 2017.02.13
  • Accepted : 2017.03.17
  • Published : 2017.05.31
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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.

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References

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