3 papers
math.NA2025
Abstract Fractional Cauchy Problem: Existence of Propagators and Inhomogeneous Solution Representation
Dmytro Sytnyk, Barbara Wohlmuth
We consider a Cauchy problem for the inhomogeneous differential equation given in terms of an unbounded linear operator and the Caputo fractional derivative of order $α\in (0,…
math.NA2025
Subordination based approximation of Caputo fractional propagator and related numerical methods
Dmytro Sytnyk
In this work, we propose an exponentially convergent numerical method for the Caputo fractional propagator and the associated mild solution of the Cauchy problem with tim…
math.NA2025
Exponentially Convergent Numerical Method for Abstract Cauchy Problem with Fractional Derivative of Caputo Type
Dmytro Sytnyk, Barbara Wohlmuth
We present an exponentially convergent numerical method to approximate the solution of the Cauchy problem for the inhomogeneous fractional differential equation with an unbounded o…