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

Journal article (2023)

Authors

Michal Fečkan Mathematical Institute of Slovak Academy of Sciences, Comenius University
K. Marynets Mathematical Physics - EEMCS
Research Group
Mathematical Physics (EEMCS) (TU Delft)
Copyright: © 2023 Michal Fečkan, K. Marynets
DOI: https://doi.org/10.58997/ejde.2023.58
Approximation of solutions Caputo derivative Chebyshev nodes Lagrange polynomial interpolation Non-local boundary conditions Predator-prey model
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Published Date

2023

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Mathematical Physics

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.