Work

Central Part Interpolation Approach for Solving Initial Value Problems of Systems of Linear Fractional Differential Equations

Year: 2025

Type: article

Abstract: We consider an initial value problem for a system of linear fractional differential equations of Caputo type. Using an integral equation reformulation of the underlying problem, we first study the existence, uniqueness and smoothness of its exact solution. Based on the obtained results, a collocation-type method using the central part interpolation approach on the uniform grid is constructed and analyzed. Optimal convergence order of the proposed method is established and confirmed by numerical experiments.

Source: Mathematics

DOI: 10.3390/math13162573

Authors: Margus Lillemäe, Arvet Pedas, Mikk Vikerpuur

Institution: University of Tartu

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Eesti Teadusagentuur