Results 101 to 110 of about 10,764 (212)

Integral transforms of the generalized Mittag-Leffler function

Applied Mathematical Sciences, 2014
This paper is devoted to study integral transforms of extended version of generalized MittagLeffler function introduced by Prajapati et al [9].
Aneela Nadir, Adnan Khan, Muhammed Kalim
openaire   +1 more source

Effective Potential from the Generalized Time-Dependent Schrödinger Equation

Mathematics, 2016
We analyze the generalized time-dependent Schrödinger equation for the force free case, as a generalization, for example, of the standard time-dependent Schrödinger equation, time fractional Schrödinger equation, distributed order time fractional ...
Trifce Sandev, Irina Petreska, Ervin K. Lenzi   +2 more
doaj   +1 more source

Analysis of Finite Integrals with Incomplete Aleph Functions, Mittag-Leffler Generalizations, and the Error Function

Fractal and Fractional
In this paper, we evaluate a general class of finite integrals involving the error function, generalized Mittag-Leffler functions, and incomplete Aleph functions. The main result provides a unified framework that extends several known formulas related to
Dinesh Kumar, Frédéric Ayant, Meena Kumari Gurjar, Anil Kumar Vishnoi, Saroj Solanki   +4 more
doaj   +1 more source

Generalized Differential Transform Method to Space-Time Fractional Telegraph Equation

International Journal of Differential Equations, 2011
We use generalized differential transform method (GDTM) to derive the solution of space-time fractional telegraph equation in closed form. The space and time fractional derivatives are considered in Caputo sense and the solution is obtained in terms of ...
Mridula Garg, Pratibha Manohar, Shyam L. Kalla   +2 more
doaj   +1 more source

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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A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications

Abstract and Applied Analysis
In this paper, a new class of multivariable special functions and their generalizations is introduced and used to solve generalized fractional differential and kinetic equations.
B. B. Jaimini, null Meenu, Suman Sharma, S. D. Purohit, D. L. Suthar   +4 more
doaj   +1 more source

Stability of Caputa– Hadmmard  Fractional Differential Nonlinear ControlSystem with Delay Riemann −Katugampola

Wasit Journal for Pure Sciences
This research examines the finite-time stability of a specific category of neural networks with fractional order. Using modified Gronwall inequality and estimations of Mittag–Leffler functions, we provide adequate requirements to guarantee the finite ...
ahmed sami, Sameer Qasim Hasan
doaj   +1 more source

Certain generating functions involving generalized Mittag-Leffler function

International Journal of Mathematical Analysis, 2018
Mehar Chand, Rekha Rani
openaire   +1 more source

Radii problems for the generalized Mittag-Leffler functions

, 2019
In this paper our aim is to investigate the radii of $ -$uniformly convexity, $ -$convexity, $ -$parabolic starlikeness and strong starlikeness of order $ $ 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.
openaire   +2 more sources

Inclusion Results of a Generalized Mittag-Leffler-Type Poisson Distribution in the k-Uniformly Janowski Starlike and the k-Janowski Convex Functions

Mathematics and Statistics, 2023
J. Salah, H. Rehman, Iman Al Buwaiqi
semanticscholar   +1 more source