Results 51 to 60 of about 10,320 (199)

Multiparameter K-Mittag-Leffler function [PDF]

open access: yesInternational Mathematical Forum, 2013
In this paper author introduce Multiparameter K-Mittag-Leffler Function definded as, pK (β,η)m q,k [z] = pK (β,η)m q,k [a1, .., ap; b1, .., bq , (β1, η1), .., (βm, ηm); z], pK (β,η)m q,k [z] = ∞ ∑ n=0 ∏p j=1(aj)n,k z n ∏q r=1(br)n,k ∏m i=1 Γk(ηin+ βi) , where k ∈ R+ = (0,∞); aj, br, βi ∈ C; ηi ∈ R (j = 1, 2, .., p; r = 1, 2, .., q; i = 1, 2, ..,m ...
openaire   +1 more source

Bicomplex Mittag-Leffler Function and Properties

open access: yes, 2021
With the increasing importance of the Mittag-Leffler function in the physical applications, these days many researchers are studying various generalizations and extensions of the Mittag-Leffler function. In this paper efforts are made to define bicomplex extension of the Mittag-Leffler function and also its analyticity and region of convergence are ...
Agarwal, Ritu   +2 more
openaire   +2 more sources

The Novel Numerical Solutions for Time‐Fractional Fishers Equation

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan   +3 more
wiley   +1 more source

Mittag-Leffler Stability and Attractiveness of Pseudo Almost Periodic Solutions for Delayed Cellular Neural Networks

open access: yesJournal of Function Spaces, 2022
We consider a class of nonautonomous cellular neural networks (CNNs) with mixed delays, to study the solutions of these systems which are type pseudo almost periodicity.
Zahra Eidinejad   +2 more
doaj   +1 more source

Differentiation of the Wright Functions with Respect to Parameters and Other Results

open access: yesApplied Sciences, 2022
In this work, we discuss the derivatives of the Wright functions (of the first and the second kinds) with respect to parameters. The differentiation of these functions leads to infinite power series with the coefficients being the quotients of the ...
Alexander Apelblat, Francesco Mainardi
doaj   +1 more source

Integro-differential diffusion equation for continuous time random walk

open access: yes, 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   +5 more
core   +1 more source

Properties of the Mittag-Leffler Relaxation Function [PDF]

open access: yesJournal of Mathematical Chemistry, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Novel Synchronization Analysis of Fractional‐Order Nonautonomous Neural Networks With Mixed Delays

open access: yesDiscrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
This paper focuses on the global Mittag–Leffler synchronization of fractional‐order nonautonomous neural networks with mixed delays (FONANNMD). A time‐varying coefficient eρt is introduced to capture the nonautonomous dynamics, aligning with real‐world time‐varying neuron connection weights. A linear feedback controller, integrating proportional, delay,
Xiao-wen Tan   +4 more
wiley   +1 more source

On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis
In this paper, it is aimed to improvement the boundaries of fractional integral operators containing extended generalized Mittag-Leffler functions. The offered results enhance the previously known bounds of the distinct fractional integral operators for ...
Ayşe Kübra Demirel
doaj   +1 more source

Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems [PDF]

open access: yes, 2010
MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12In studying the behaviour of series, defined by means of the Mittag-Leffler functions, on the boundary of its domain of convergence in the complex plane, we prove Cauchy-Hadamard, Abel, Tauber and ...
Paneva-Konovska, Jordanka
core  

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