Approximation approach to the fractional BVP with the Dirichlet type boundary conditions
Numerical Analysis
2022-09-05 v2 Numerical Analysis
Abstract
We use a numerical-analytic technique to construct a sequence of successive approximations to the solution of a system of fractional differential equations, subject to Dirichlet boundary conditions. We prove the uniform convergence of the sequence of approximations to a limit function, which is the unique solution to the boundary value problem under consideration, and give necessary and sufficient conditions for the existence of solutions. The obtained theoretical results are confirmed by a model example.
Keywords
Cite
@article{arxiv.2201.08638,
title = {Approximation approach to the fractional BVP with the Dirichlet type boundary conditions},
author = {Kateryna Marynets and Dona Pantova},
journal= {arXiv preprint arXiv:2201.08638},
year = {2022}
}