scholarly journals Distortion and Convolutional Theorems for Operators of Generalized Fractional Calculus Involving Wright Function

2008 ◽  
Vol 14 (2) ◽  
Author(s):  
M. K. Aouf ◽  
J. Dziok
Keyword(s):  
Fractional Calculus ◽  
Wright Function ◽  
Generalized Fractional Calculus

scholarly journals Some Applications of the Wright Function in Continuum Physics: A Survey

Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 198
Author(s):  
Yuriy Povstenko
Keyword(s):  
Heat Conduction ◽  
Fractional Calculus ◽  
Exponential Function ◽  
Nonlocal Elasticity ◽  
Bessel Functions ◽  
Wright Function ◽  
Mainardi Function ◽  
Integral Relations

The Wright function is a generalization of the exponential function and the Bessel functions. Integral relations between the Mittag–Leffler functions and the Wright function are presented. The applications of the Wright function and the Mainardi function to description of diffusion, heat conduction, thermal and diffusive stresses, and nonlocal elasticity in the framework of fractional calculus are discussed.

scholarly journals Some Fractional Calculus Results Pertaining To Mittag-Leffler Type Functions

2017 ◽  
Vol 13 (1) ◽  
pp. 31-48
Author(s):  
Anupama Choudhary ◽  
Devendra Kumar ◽  
Jagdev Singh
Keyword(s):  
Fractional Calculus ◽  
Wright Function ◽  
Fractional Operators ◽  
Multi Index ◽  
Generalized Wright Function ◽  
Engineering And Technology

Abstract In this paper, we study the generalized fractional operators pertaining to the generalized Mittag-Leffler function and multi-index Mittag-Leffler function. Some applications of the established results associated with generalized Wright function are also deduced as corollaries. The results are useful in solving the problems of science, engineering and technology where the Mittag-Leffler function occurs naturally.

Fractional Calculus of Wright Function with Raizada Polynomial

2018 ◽  
Vol 4 (3) ◽  
pp. 229-246
Author(s):  
Dharmendra Kumar Singh ◽  
Priyanka Umaro
Keyword(s):  
Fractional Calculus ◽  
Wright Function

Some generalized fractional calculus operators and their applications in integral equations

2012 ◽  
Vol 15 (4) ◽  
Author(s):  
Om Agrawal
Keyword(s):  
Differential Equations ◽  
Fractional Calculus ◽  
Integral Equations ◽  
Systematic Approach ◽  
Fractional Integrals ◽  
Generalized Fractional Calculus ◽  
Fractional Calculus Operators ◽  
Fractional Integrals And Derivatives ◽  
Generalized Fractional Calculus Operators

AbstractIn this paper, we survey some generalizations of fractional integrals and derivatives and present some of their properties. Using these properties, we show that many integral equations can be solved in a much elegant way. We believe that this will blur the distinction between the integral and differential equations, and provide a systematic approach for the two of these classes.

scholarly journals Fractional calculus of generalized Lommel-Wright function and its extended Beta transform

2021 ◽  
Vol 6 (8) ◽  
pp. 8276-8293
Author(s):  
Saima Naheed ◽  
◽  
Shahid Mubeen ◽  
Thabet Abdeljawad ◽  
◽  
...  
Keyword(s):  
Fractional Calculus ◽  
Wright Function
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