Special functions : fractional calculus and the pathway for entropy

Special functions fractional calculus and the pathway for entropy

Historically, the notion of entropy emerged in conceptually very distinct contexts. This book deals with the connection between entropy, probability, and fractional dynamics as they appeared, for example, in solar neutrino astrophysics since the 1970's (Mathai and Rathie 1975, Mathai and Pederz...

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Bibliographic Details
Other Authors: Haubold, Hans J., editor (editor)
Format: eBook
Language:Inglés
Published: Basel, Switzerland : MDPI 2018.
Subjects:
Fractional calculus.
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009746197906719
Table of Contents:
  • About the Special Issue Editor
  • Preface to "Special Functions: Fractional Calculus and the Pathway for Entropy
  • Constantino Tsallis Approach of Complexity in Nature: Entropic Nonuniqueness Reprinted from: Axioms 2016, 5(3), 20; doi: 10.3390/axioms5030020
  • Rudolf Gorenflo and Francesco Mainardi On the Fractional Poisson Process and the Discretized Stable Subordinator Reprinted from: Axioms 2015, 4(3), 321-344; doi: 10.3390/axioms4030321
  • Nicy Sebastian, Seema S. Nair and Dhannya P. Joseph An Overview of the Pathway Idea and Its Applications in Statistical and Physical Sciences Reprinted from: Axioms 2015, 4(4), 530-553; doi: 10.3390/axioms4040530
  • Yuri Luchko Entropy Production Rate of a One-Dimensional Alpha-Fractional Diffusion Process Reprinted from: Axioms 2016, 5(1), 6; doi: 10.3390/axioms5010006
  • Shanoja R. Naik and Hans J. Haubold On the q-Laplace Transform and Related Special Functions Reprinted from: Axioms 2016, 5(3), 24; doi: 10.3390/axioms5030024
  • Konstantin V. Zhukovsky and Hari M. Srivastava Operational Solution of Non-Integer Ordinary and Evolution-Type Partial Differential Equations Reprinted from: Axioms 2016, 5(4), 29; doi: 10.3390/axioms5040029
  • Konstantin Zhukovsky Operational Approach and Solutions of Hyperbolic Heat Conduction Equations Reprinted from: Axioms 2016, 5(4), 28; doi: 10.3390/axioms5040028
  • Ram K. Saxena and Rakesh K. Parmar Fractional Integration and Differentiation of the Generalized Mathieu Series Reprinted from: Axioms 2017, 6(3), 18; doi: 10.3390/axioms6030018
  • Kai Liu, YangQuan Chen and Xi Zhang An Evaluation of ARFIMA (Autoregressive Fractional Integral Moving Average) Programs Reprinted from: Axioms 2017, 6(2), 16; doi: 10.3390/axioms6020016
  • Pushpa Narayan Rathie, Paulo Silva and Gabriela Olinto Applications of Skew Models Using Generalized Logistic Distribution Reprinted from: Axioms 2016, 5(2), 10; doi: 10.3390/axioms5020010
  • Serge B. Provost Closed-Form Representations of the Density Function and Integer Moments of the Sample Correlation Coefficient Reprinted from: Axioms 2015, 4(3), 268-274; doi:10.3390/axioms4030268
  • Seemon Thomas On some Integral Representations of Certain G-Functions Reprinted from: Axioms 2016, 5(1), 1; doi:10.3390/axioms5010001
  • Thomas Ernst On Elliptic and Hyperbolic Modular Functions and the Corresponding Gudermann Peeta Functions Reprinted from: Axioms 2015, 4(3), 235-253; doi: 10.3390/axioms4030235
  • Dilip Kumar Some Aspects of Extended Kinetic Equation Reprinted from: Axioms 2015, 4(3), 412-422; doi: 10.3390/axioms4030412Seema S. Nair An Overview of Generalized Gamma Mittag-Leffler Model and Its Applications Reprinted from: Axioms 2015, 4(3), 365-384; doi: 10.3390/axioms4030365
  • Nicy Sebastian Limiting Approach to Generalized Gamma Bessel Model via Fractional Calculus and Its Applications in Various Disciplines Reprinted from: Axioms 2015, 4(3), 385-399; doi: 10.3390/axioms4030385
  • Dhannya P. Joseph Multivariate Extended Gamma Distribution Reprinted from: Axioms 2017, 6(2), 11; doi: 10.3390/axioms6020011
  • Hans J. Haubold and Arak M. Mathai Scientific Endeavors of A.M. Mathai: An Appraisal on the Occasion of his Eightieth Birthday, 28 April 2015 Reprinted from: Axioms 2015, 4(3), 213-234; doi: 10.3390/axioms4030213.

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