Print Email Facebook Twitter Approximation Approach to the Fractional BVP with the Dirichlet Type Boundary Conditions Title Approximation Approach to the Fractional BVP with the Dirichlet Type Boundary Conditions Author Marynets, K. (TU Delft Mathematical Physics) Pantova, D.H. (TU Delft Mathematical Physics) Date 2022 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. Subject Approximation of solutionsBrouwer degreeDirichlet boundary conditionsFractional differential equations To reference this document use: http://resolver.tudelft.nl/uuid:1ad5b0cc-e865-48c0-9815-2b3c3934a24a DOI https://doi.org/10.1007/s12591-022-00613-y ISSN 0971-3514 Source Differential Equations and Dynamical Systems Part of collection Institutional Repository Document type journal article Rights © 2022 K. Marynets, D.H. Pantova Files PDF s12591_022_00613_y.pdf 1.87 MB Close viewer /islandora/object/uuid:1ad5b0cc-e865-48c0-9815-2b3c3934a24a/datastream/OBJ/view