East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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EXISTENCE OF POSITIVE SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH A SINGULAR WEIGHT

  • Jeongmi Jeong (Department of Mathematics, Pusan National University) ;
  • Yong-Hoon Lee (Department of Mathematics, Pusan National University)
  • Received : 2023.12.12
  • Accepted : 2023.12.27
  • Published : 2024.01.31
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Abstract

In this work, we study the existence of a positive solution for nonlinear fractional differential equation with a singular weight. For the proof, we introduce newly defined solution operator and use well-known Krasnoselski's fixed point theorem. We also give an example with a singular weight which may not be integrable.

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Acknowledgement

This work was financially supported by a 2-Year Research Grant of Pusan National University.

References

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