5 papers
Hill-Type Stability Analysis of Periodic Solutions of Fractional-Order Differential Equations
Paul-Erik Haacker, Remco I. Leine, Renu Chaudhary +3
This paper explores stability properties of periodic solutions of (nonlinear) fractional-order differential equations (FODEs). As classical Caputo-type FODEs do not admit exactly p…
An Efficient Exponential Sum Approximation of Power-Law Kernels for Solving Fractional Differential Equation
Renu Chaudhary, Kai Diethelm, Afshin Farhadi +1
In this work, we present a comprehensive framework for approximating the weakly singular power-law kernel of fractional integral and differential operators, where $α\in (…
On the separation of solutions to fractional differential equations of order
Renu Chaudhary, Kai Diethelm, Safoura Hashemishahraki
Given the Caputo-type fractional differential equation with , we consider two distinct solutions to this equation subject…
Revisiting Diffusive Representations for Enhanced Numerical Approximation of Fractional Integrals
Renu Chaudhary, Kai Diethelm
This study reexamines diffusive representations for fractional integrals with the goal of pioneering new variants of such representations. These variants aim to offer highly effici…
Novel Variants of Diffusive Representation of Fractional Integrals: Construction and Numerical Computation
Renu Chaudhary, Kai Diethelm
In this paper, we revisit the diffusive representations of fractional integrals established in \cite{diethelm2023diffusive} to explore novel variants of such representations which…