Results 101 to 110 of about 5,801,198 (158)
Subclasses of Spiral-Like Functions Associated With the Generalized Mittag-Leffler Function
Due to its crucial role in handling issues with fractional order integral and differential equations, the unique transcendental operator known as a Mittag-Leffler function has drawn the interest of academics in recent years.
Jamal Salah
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Fractional kinetic equations involving generalized k-Bessel function via Sumudu transform
Principle aim of the present study is to develop fractional kinetic equations involving generalized k-Bessel function via Sumudu transform. Also, the graphical interpretation of the solutions by employing MATLAB is given.
P. Agarwal +4 more
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EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION APPLIED ON FRACTIONAL INTEGRAL INEQUALITIES
This paper presents several fractional generalizations and ex- tensions of known integral inequalities. To obtain these, an extended generalized Mittag-Leffler function and its fractional integral operator are used.
Andrić M. +3 more
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Integral transforms of the S-functions
The object of this paper is to introduce a new special function, which will be called S-function. This function is an extension of the generalized Mittag-Leffler function due to Prabhakar [7], generalized Mittag-Leffler function introduced by Srivastava ...
Jitendra Daiya, Ram Kishore Saxena
doaj
Matrix Mittag‑Leffler function in fractional systems and its computation [PDF]
Matrix Mittag‑Leffler functions play a key role in numerous applications related to systems with fractional dynamics. That is why the methods for computing the matrix Mittag‑Leffler function are so important.
Matychyn, I., Onyshchenko, V.
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Radii problems for the generalized Mittag-Leffler functions
In this paper our aim is to investigate the radii of $η-$uniformly convexity, $α-$convexity, $η-$parabolic starlikeness and strong starlikeness of order $ρ$ of the generalized Mittag-Leffler function for three different kinds of normalization by using their Hadamard factorization in such a way that the resulting functions are analytic.
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The Mittag-Leffler function holds significant importance in fractional calculus due to its extensive applications in addressing challenges across science, engineering, biology, hydrology, and earth sciences.
Madushi U. Wickramasinghe +1 more
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We study some properties of generalized multivariable Mittag-Leffler function. Also we establish two theorems, which give the images of this function under the generalized fractional integral operators involving Fox’s H-function as kernel.
D. L. Suthar +2 more
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On the p-k-Mittag-Leffler function
In this paper, we define the function pE γ k,α,β(z), estudy its analytic properties, some elementary properties as its integral expression, its relationship with the fractional operator of Riemann-Liouville and investigate the fractional ...
Dorrego, Gustavo +6 more
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On a Generalized Mittag-Leffler Function and Fractional Integrals
The object of this paper is to study a generalized Mittag-Leffler function and a modified general class of functions which is reducible to several special functions. convergent conditions of these functions are discussed. Some results pertaining to the generalized Mittag-Leffler function and generating relations involving these functions are ...
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