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

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 Lag...

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2023; no. 1-??; pp. 58 - 17
Main Authors Feckan, Michal, Marynets, Kateryna
Format Journal Article
LanguageEnglish
Published Texas State University 11.09.2023
Subjects
approximation of solutions
caputo derivative
chebyshev nodes
lagrange polynomial interpolation
non-local boundary conditions
predator-prey model
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ISSN1072-6691
1072-6691
DOI10.58997/ejde.2023.58

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Summary: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  
ISSN:1072-6691
1072-6691
DOI:10.58997/ejde.2023.58