An efficient exponential sum approximation of power-law kernels for solving fractional differential equations

Renu Chaudhary, Kai Diethelm, Afshin Farhadi and Fred A. Fuchs

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 249, issue C, 18-38

Abstract: In this work, we present a comprehensive framework for approximating the weakly singular power-law kernel tα−1 of fractional integral and differential operators, where α∈(0,1) and t∈[δ,T] with 0<δKeywords: Fractional differential equations; Power-law kernel; Exponential sum approximation; Trapezoidal rule; Prony’s method (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:249:y:2026:i:c:p:18-38

DOI: 10.1016/j.matcom.2026.05.007

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