Results 71 to 80 of about 13,122 (219)
Bicomplex Mittag-Leffler Function and Properties
, 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
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The Novel Numerical Solutions for Time‐Fractional Fishers Equation
Advances 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
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Journal of Function Spaces, 2022 This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator.
Tingmei Gao +4 more
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Properties of the Mittag-Leffler Relaxation Function [PDF]
Journal of Mathematical Chemistry, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Novel Synchronization Analysis of Fractional‐Order Nonautonomous Neural Networks With Mixed Delays
Discrete 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
, 2007 We show the asymptotic long-time equivalence of a generic power law waiting time distribution to the Mittag-Leffler waiting time distribution, characteristic for a time fractional CTRW.
Gorenflo, Rudolf, Mainardi, Francesco
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Extension of Mittag-Leffler function
, 2017 In this paper, we present an extension of Mittag-Leffler function by using the extension of beta functions ( zergin et al. in J. Comput. Appl. Math. 235 (2011), 4601-4610) and obtain some integral representation of this newly defined function.
Rahman, G. +3 more
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This study introduces a novel fractal–fractional extension of the Hodgkin–Huxley model to capture complex neuronal dynamics, with particular focus on intrinsically bursting patterns. The key innovation lies in the simultaneous incorporation of Caputo–Fabrizio operators with fractional order α for memory effects and fractal dimension τ for temporal ...
M. J. Islam +4 more
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Further results on Mittag-Leffler synchronization of fractional-order coupled neural networks
Advances in Difference Equations, 2021 In this paper, we focus on the synchronization of fractional-order coupled neural networks (FCNNs). First, by taking information on activation functions into account, we construct a convex Lur’e–Postnikov Lyapunov function.
Fengxian Wang, Fang Wang, Xinge Liu
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Fractional Integration and Fractional Differentiation of the M-Series [PDF]
, 2008 Mathematics Subject Classification: 26A33, 33C60, 44A15In this paper a new special function called as M-series is introduced. This series is a particular case of the H-function of Inayat-Hussain.
Sharma, Manoj
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