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20232025
most citedHill-Type Stability Analysis of Periodic Solutions of Fractional-Order Differential Equations

1 citations · 1 across the 2 of their papers we have counts for

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5 papers

eess.SY20251 cited

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…

math.NA2025

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 (…

math.CA2024

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…

math.NA2023

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…

math.NA2023

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…