Results 51 to 60 of about 19,869 (230)

Modified Fractional Power Series Method for solving fractional partial differential equations

Scientific African
The literature revealed that the Fractional Power Series Method (FPSM), which uses the Mittag-Leffler function in one parameter, has been gainfully applied in obtaining the solutions of fractional partial differential equations (FPDEs) in one dimension ...
Isaac Addai, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah   +3 more
doaj   +1 more source

Generalized Mittag-Leffler Distributions and Processes for Applications in Astrophysics and Time Series Modeling

, 2010
Geometric generalized Mittag-Leffler distributions having the Laplace transform $\frac{1}{1+\beta\log(1+t^\alpha)},00$ is introduced and its properties are discussed.
A Erdélyi, AG Pakes, AJ Lawrance, C Jacques, C Tsallis, CR Rao, DN Anderson, DN Dewald, DP Gaver, GD Lin, GD Lin, GD Lin, GD Lin, HJ Haubold, K Jayakumar, K Jayakumar, K Jayakumar, K Weron, L Devroye, LB Klebanov, RK Saxena, RK Saxena, RK Saxena, RN Pillai, RN Pillai, RN Pillai, RN Pillai, RN Pillai, S Kotz, S Kotz, TJ Kozubowski, TJ Kozubowski, V Seetha Lekshmi, V Seetha Lekshmi, Y Fujita   +34 more
core   +1 more source

Numerical implementation of Mittag-Leffler function: a revision study

CQD Revista Eletrônica Paulista de Matemática, 2022
This work presents a review of an algorithm to calculate the Mittag-Leffler function. In order to do it, we follow the definition of the Mittag-Leffler function in Refs.
Eberth de Almeida Correa, Leandro Xavier Cardoso, Tais Calliero Tognetti, Ronni Geraldo Gomes Amorim   +3 more
doaj  

Traveling wave solutions constructed by Mittag–Leffler function of a (2 + 1)-dimensional space-time fractional NLS equation

, 2020
The fractional mapping equation method and fractional bi-function method are utilized to study a (2 + 1)-dimensional space-time fractional nonlinear Schrodinger equation, and its exact traveling wave solutions are constructed using the Mittag–Leffler ...
Li-jun Yu, Gang Wu, Yue‐Yue Wang, Yi-Xiang Chen   +3 more
semanticscholar   +1 more source

Integro-differential diffusion equation for continuous time random walk

, 2010
In this paper we present an integro-differential diffusion equation for continuous time random walk that is valid for a generic waiting time probability density function.
A. Carpinteri, A. Erdelyi, H. Risken, K. G. Wang, Kwok Sau Fa, R. Kubo   +5 more
core   +1 more source

On the p-k-Mittag-Leffler function [PDF]

Applied Mathematical Sciences, 2017
In this paper, we define the function pEk;;(z), estudy its analyticproperties, some elementary properties as its integral expression,its relationship with the fractional operator of Riemann-Liouville and investigatethe fractional generalization of the kinetic equation involvingthis Mittag-Leffler type function.
Cerutti, Ruben Alejandro, Luque, Luciano Leonardo, Dorrego, Gustavo   +2 more
openaire   +3 more sources

Integral Representation of the Mittag-Leffler Function

Russian Mathematics, 2022
Generalization of the integral representation of the gamma function has been obtained, which shows that the Hankel contour assumes rotation in the complex plane. The range of admissible values for the contour rotation angle is set. Using this integral representation, generalization of the integral representation of the Mittag-Leffler function has been ...
openaire   +3 more sources

Subordination and Superordination Properties for Certain Family of Analytic Functions Associated with Mittag-Leffler Function

Symmetry, 2020
We obtain new outcomes of analytic functions linked with operator Hα,βη,k(f) defined by Mittag–Leffler function. Moreover, new theorems of differential sandwich-type are obtained.
M. F. Yassen, A. A. Attiya, P. Agarwal
semanticscholar   +1 more source

Thermal Conductance and Mass Transport of Brinkman‐Type Nanofluids Across Porous Plates: A Prabhakar‐Fractional Approach

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The paper establishes an advanced computing algorithm to investigate the thermosolutal dynamics of an electrically conductive Brinkman‐type nanofluid that moves in a porous channel, and the fluid is acted on by an inclined magnetic field exerted externally.
Urwa Shehbaz, Umair Khan, MD. Shamshuddin, Nermeen Abdullah, Samia Elattar   +4 more
wiley   +1 more source

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

Mathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source