[HTML][HTML] Sinc based inverse Laplace Transforms, Mittag-Leffler functions and their approximation for fractional calculus

G Baumann - Fractal and Fractional, 2021 - mdpi.com
We shall discuss three methods of inverse Laplace transforms. A Sinc-Thiele approximation,
a pure Sinc, and a Sinc-Gaussian based method. The two last Sinc related methods are …

On the first root of two-parametric Mittag–Leffler functions: a functional perspective

PW Eloe, Y Li - Integral Transforms and Special Functions, 2025 - Taylor & Francis
We construct a novel class of integral operators whose eigenvalue reciprocals correspond to
the roots (zeros) of two-parametric Mittag–Leffler functions E α, α∗(z). Using the theory of μ 0 …

[HTML][HTML] Sinc Numeric Methods for Fox-H, Aleph (), and Saxena-I Functions

G Baumann, N Südland - Fractal and Fractional, 2022 - mdpi.com
The purpose of this study is to offer a systematic, unified approach to the Mellin-Barnes
integrals and associated special functions as Fox H, Aleph ℵ, and Saxena I function …

[PDF][PDF] Sinc Based Inverse Laplace Transforms, Mittag-Leffler Functions and Their Approximation for Fractional Calculus. Fractal Fract. 2021, 5, 43

G Baumann - 2021 - oparu.uni-ulm.de
We shall discuss three methods of inverse Laplace transforms. A Sinc-Thiele approximation,
a pure Sinc, and a Sinc-Gaussian based method. The two last Sinc related methods are …

[PDF][PDF] Sinc Numeric Methods for Fox-H, Aleph (ℵ), and Saxena-I Functions. Fractal Fract. 2022, 6, 449

G Baumann, N Südland - 2022 - academia.edu
The purpose of this study is to offer a systematic, unified approach to the Mellin-Barnes
integrals and associated special functions as Fox H, Aleph ℵ, and Saxena I function …

Essentials of Fractional Calculus

Y Povstenko - Fractional Thermoelasticity, 2024 - Springer
Essentials of fractional calculus are presented. Different kinds of integral and differential
operators of fractional order are discussed. The notion of the Riemann–Liouville fractional …

[PDF][PDF] Sinc Based Inverse Laplace Transforms

G Baumann - SIAM J. Numer. Anal, 2015 - preprints.org
We shall discuss three methods of inverse Laplace transforms. A Sinc-Thiele approximation,
a pure Sinc, and a Sinc-Gaussian based method. The two last Sinc related methods are …