4.7 Article

Triple positive solutions for fractional differential equation boundary value problems at resonance

Journal

APPLIED MATHEMATICS LETTERS
Volume 106, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2020.106376

Keywords

Triple positive solutions; At resonance; Singularity; Fractional differential equation

Funding

  1. Natural Science Foundation of Shandong Province of China [ZR2017MA036]
  2. National Natural Science Foundation of China [11871302]

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By using the theory of fixed point index, the existence of triple positive solutions to a class of resonant fractional differential equation boundary value problems is deduced. Some new height functions and the spectral theory are also used for seeking the positive solutions. The nonlinearity involves an arbitrary fractional derivative and permits singularity. (C) 2020 Elsevier Ltd. All rights reserved.

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