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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.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…