Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Fractional operators with generalized Mittag-Leffler k-function
View through CrossRef
AbstractIn this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Lefflerk-function. The results are established in terms of the generalized Wright hypergeometric function. The Euler integralk-transformation for Mittag-Lefflerk-functions has also been developed.
Springer Science and Business Media LLC
Title: Fractional operators with generalized Mittag-Leffler k-function
Description:
AbstractIn this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels.
We prove some composition formulas for such generalized fractional integrals with Mittag-Lefflerk-function.
The results are established in terms of the generalized Wright hypergeometric function.
The Euler integralk-transformation for Mittag-Lefflerk-functions has also been developed.
Related Results
Fractional Calculus in the Solution of the Klein–Gordon Equation
Fractional Calculus in the Solution of the Klein–Gordon Equation
This paper investigates the Klein–Gordon equation within the framework of fractional calculus by incorporating non-integer time and spatial derivatives to model physical processes ...
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Background: The dynamics of fractional oscillators are generally described by fractional differential equations, which include the fractional derivative of the Caputo or Riemann-Li...
Mittag-Leffler type functions of three variables
Mittag-Leffler type functions of three variables
In this article, we generalized Mittag-Leffler-type functions F ̵̄ A ( 3 )
, F ̵̄ B ( 3 ) , F ̵̄ C ( 3 ) and F ̵̄ D ( 3 ) , which correspond,
respectively, to the familiar Lauricel...
A Fractional‐Order Kinetics Approach for Modeling Enzymatic Starch Multiscale Digestion
A Fractional‐Order Kinetics Approach for Modeling Enzymatic Starch Multiscale Digestion
AbstractThe characterization of the enzymatic hydrolysis of starch is a prerequisite for assessing the impact of starchy food in the gastrointestinal tract. The issue is relevant g...
THE Q-ANALOGUES OF NONSINGULAR FRACTIONAL OPERATORS WITH MITTAG-LEFFLER AND EXPONENTIAL KERNELS
THE Q-ANALOGUES OF NONSINGULAR FRACTIONAL OPERATORS WITH MITTAG-LEFFLER AND EXPONENTIAL KERNELS
This paper is devoted to introducing a new [Formula: see text]-fractional calculus in the framework of Atangana–Baleanu ([Formula: see text]) and Caputo–Fabrizio ([Formula: see tex...
A comparative analysis of generalized exponential decay
A comparative analysis of generalized exponential decay
This paper explores the similarities and differences between the Mittag-Leffler function and a recently introduced one-parameter function, when (α, q) ∈ (0, 1)—where α is called th...
EULER-TYPE INTEGRAL REPRESENTATIONS FOR TWO-DIMENSIONAL FUNCTIONS OF THE MITTAG-LEFFLER-TYPE
EULER-TYPE INTEGRAL REPRESENTATIONS FOR TWO-DIMENSIONAL FUNCTIONS OF THE MITTAG-LEFFLER-TYPE
The Euler-type integral representations for two two-dimensional functions of the Mittag-Leffler type are established. In these integral representations, these two-dimensional funct...
Numerical Simulation of the Fractal Fractional Reaction Diffusion Equations with General Nonlinear
Numerical Simulation of the Fractal Fractional Reaction Diffusion Equations with General Nonlinear
In this paper we utilize the new operators using three different kernels,namely, power law, exponential decay, and the generalized Mittag-Leffler function based on the fractal-frac...