Non-local fractional boundary value problems with applications to predator-prey models
DOI:
https://doi.org/10.58997/ejde.2023.58Keywords:
Caputo derivative; non-local boundary conditions; Chebyshev nodes; approximation of solutions; Lagrange polynomial interpolation; predator-prey model.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.
For mote information see https://ejde.math.txstate.edu/Volumes/2023/58/abstr.html
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