scholarly journals Fractional integral representation in statistical thermodynamics of confined systems

2021 ◽  
Vol 104 (5) ◽  
Author(s):  
Altug Sisman ◽  
Jonas Fransson
Keyword(s):  
Integral Representation ◽  
Fractional Integral ◽  
Statistical Thermodynamics ◽  
Confined Systems

scholarly journals New Extension of Beta Function and Its Applications

2018 ◽  
Vol 2018 ◽  
pp. 1-25 ◽  
Author(s):  
Mehar Chand ◽  
Hanaa Hachimi ◽  
Rekha Rani
Keyword(s):  
Integral Representation ◽  
Hypergeometric Function ◽  
Hypergeometric Functions ◽  
Fractional Derivatives ◽  
Fractional Integral ◽  
Beta Function ◽  
Gauss Hypergeometric Function ◽  
Confluent Hypergeometric Functions ◽  
Integral Formulas ◽  
New Type

In the present paper, new type of extension of classical beta function is introduced and its convergence is proved. Further it is used to introduce the extension of Gauss hypergeometric function and confluent hypergeometric functions. Then we study their properties, integral representation, certain fractional derivatives, and fractional integral formulas and application of these functions.

scholarly journals Differential Subordination Results for Fractional Integral Associated with Generalized Mittag-Leffler Function

2019 ◽  
pp. 143-155
Author(s):  
Abbas Kareem Wanas ◽  
Alaa Hussein Khaleel
Keyword(s):  
Integral Representation ◽  
Unit Disk ◽  
Fractional Integral ◽  
Holomorphic Functions ◽  
Differential Subordination ◽  
Open Unit ◽  
Open Unit Disk

In this work, by making use of fractional integral, we define a certain class of holomorphic functions defined by generalized Mittag-Leffler function in the open unit disk U. Also, we establish some results for this class related to integral representation, inclusion relationship and argument estimate.

Equilibrium and Non-Equilibrium Statistical Thermodynamics

2004 ◽  
Author(s):  
Michel Le Bellac ◽  
Fabrice Mortessagne ◽  
G. George Batrouni
Keyword(s):  
Statistical Thermodynamics ◽  
Non Equilibrium
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