On modifications of the exponential integral with the Mittag-Leffler function

DOI10.1515/fca-2018-0063zbMath1426.33053arXiv1901.10519OpenAlexW3100010786WikidataQ115514471 ScholiaQ115514471MaRDI QIDQ2328558

Enrico Masina, Francesco Mainardi

Publication date: 10 October 2019

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.10519

zbMATH Keywords

Laplace transformexponential integralMittag-Leffler functionlinear viscoelasticitycompletely monotonicity

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Linear constitutive equations for materials with memory (74D05) Laplace transform (44A10) Other functions defined by series and integrals (33E20)

Related Items (6)

Erratum to: ``On modifications of the exponential integral with the Mittag-Leffler function ⋮ Discrete complementary exponential and sine integral functions ⋮ A generalized kinetic model of fractional order transport dynamics with transit time heterogeneity in microvascular space ⋮ On modifications of the gamma function by using Mittag-Leffler function ⋮ Prabhakar Lévy processes ⋮ On modifications of the exponential integral with the Mittag-Leffler function

Uses Software

• DLMF

Cites Work

• A dynamic viscoelastic analogy for fluid-filled elastic tubes
• The exact solution of certain differential equations of fractional order by using operational calculus
• On modifications of the exponential integral with the Mittag-Leffler function
• A class of linear viscoelastic models based on Bessel functions
• On infinite order differential operators in fractional viscoelasticity
• Fractional Calculus
• Mittag-Leffler Functions, Related Topics and Applications
• Bernstein functions. Theory and applications
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