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Solvability to infinite-point boundary value problems for singular fractional differential equations on the half-line

  • Yupin Wang
  • Shurong Sun
Original Research

Abstract

In this paper, we investigate the solvability of infinite-point boundary value problems for a class of higher-order factional differential equations on the half-line involving Riemann–Liouville derivatives. Under a new compactness criterion, some new results are obtained by means of the properties of the Green’s function and some appropriate fixed point theorems on cone.

Keywords

Fractional differential equation Positive solution Existence and multiplicity Guo–Krasnosel’skii fixed point theorem Leggett–Williams fixed point theorem 

Mathematics Subject Classification

26A33 34A08 34B15 

Notes

Acknowledgements

The authors sincerely thank the reviewers for their valuable suggestions and useful comments that have led to the present improved version of the original manuscript.

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Copyright information

© Korean Society for Computational and Applied Mathematics 2017

Authors and Affiliations

  1. 1.School of Mathematical SciencesUniversity of JinanJinanPeople’s Republic of China

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