The Laplace transform induced by the deformed exponential function of two variables

DOI10.1515/fca-2018-0040zbMath1405.44002OpenAlexW2883902514WikidataQ115514472 ScholiaQ115514472MaRDI QIDQ1711812

Predrag M. Rajković, Sladjana D. Marinković, Miomir S. Stanković

Publication date: 18 January 2019

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

Full work available at URL: https://doi.org/10.1515/fca-2018-0040

zbMATH Keywords

exponential functionconvolutionintegral transformdifferential operatorfractional calculus

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Laplace transform (44A10) Exponential and trigonometric functions (33B10)

Cites Work

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• The deformed exponential functions of two variables in the context of various statistical mechanics
• The deformed and modified Mittag-Leffler polynomials
• The \(h\)-Laplace and \(q\)-Laplace transforms
• Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative
• Possible generalization of Boltzmann-Gibbs statistics.
• Nonextensive statistical mechanics of \(q\)-bosons based on the \(q\)-deformed entropy
• On the \(q\)-Laplace transform and related special functions
• Nonclassical convolutions and their uses
• From Bessel to Multi-Index Mittag–Leffler Functions
• Introduction to Nonextensive Statistical Mechanics
• Relation Between the Beta and the Gamma Functions
• Non-linear kinetics underlying generalized statistics

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