Results 111 to 120 of about 1,345 (201)
Integral transforms of the S-functions
Le Matematiche, 2015 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
, 2019 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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Fractional kinetic equations involving generalized k-Bessel function via Sumudu transform
Alexandria Engineering Journal, 2018 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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Some multiple generating functions involving Mittag-Leffler’s functions
International Journal of Engineering, Science and Technology, 1970 In the paper it will be shown that generating functions of hyper Bessel functions due to Humbert and Delerue can be extended to a new class of generating relations for generalized Mittag-Leffler’s functions. A number of new and known double and multiple generating functions involving the product of classical polynomials and functions are considered as ...
Kamarujjama, M, Khan, NU, Khan, WA
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AxiomsThe 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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On a Unification of Generalized Mittag-Leffler Function and Family of Bessel Functions
Advances in Pure Mathematics, 2013 In the present work, a unification of certain functions of mathematical physics is proposed and its properties are studied. The proposed function unifies Lommel function, Struve function, the Bessel-Maitland function and its generalization, Dotsenko function, generalized Mittag-Leffler function etc.
Jyotindra C. Prajapati +2 more
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Computation of the generalized Mittag-Leffler function and its inverse in the complex plane [PDF]
, 2020 The generalized Mittag-Leffler function E α,β (z) has been studied for arbitrary complex argument z ∈ C and parameters α ∈ R + and β ∈ R. This function plays a fundamental role in the theory of fractional differential equations and numerous applications ...
†, R Hilfer, H J Seybold
core
Radii problems for the generalized Mittag-Leffler functions
, 2019 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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Anomalous diffusion of fractional harmonic oscillator driven by additive impulsive noise
四川大学学报. 自然科学版, 2017 Anomalous diffusion of a fractional harmonic oscillator driven by both thermal noise and additive impulsive noise is investigated. By using the Laplace and double Laplace transform techniques, the mean, variance, correlation function and mean square ...
ZHOU Xing-Wang, ZHONG Ji-Yu
doaj
SOME REMARKS ON GENERALIZED MITTAG-LEFFLER FUNCTION
, 2009 The principal aim of the paper is to establish the function and its properties by using Fractional Calculus. We also obtained some integral representations of the function which is recently introduced by Shukla and Prajapati[6].
SHUKLA, AJAY K, PRAJAPATI, JYOTINDRA C
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