Non-local fractional boundary value problems with applications to predator-prey models

Michal Fečkan, Kateryna Marynets

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
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Abstract

We study a nonlinear fractional boundary value problem (BVP) subject to non-local multipoint boundary conditions. By introducing an appropriate parametrization technique we reduce the original problem to an equivalent one with already two-point restrictions. Using a notion of Chebyshev nodes and Lagrange polynomials we construct a successive iteration scheme, that converges to the exact solution of the non-local problem for particular values of the unknown parameters, which are calculated numerically.

Original languageEnglish
Article number58
Number of pages17
JournalElectronic Journal of Differential Equations
Volume2023
DOIs
Publication statusPublished - 2023

Keywords

  • approximation of solutions
  • Caputo derivative
  • Chebyshev nodes
  • Lagrange polynomial interpolation
  • non-local boundary conditions
  • predator-prey model

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