Results 51 to 60 of about 1,749 (183)

Properties of the Mittag-Leffler Relaxation Function [PDF]

Journal of Mathematical Chemistry, 2005
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Fractional Kinetic Modelling of the Adsorption and Desorption Processes From Experimental SPR Curves

Journal of Chemometrics, Volume 40, Issue 1, January 2026.
ABSTRACT The application of surface plasmon resonance (SPR) has transformed the study of interactions between a ligand immobilized on the surface of a sensor chip (LS$$ {L}_S $$) and an analyte in solution (A$$ A $$). This technique enables the real‐time monitoring of binding processes with high sensitivity. The adsorption–desorption dynamics, A+LS→ALS$
Higor V. M. Ferreira, Nelson H. T. Lemes, Yara L. Coelho, Luciano S. Virtuoso, Ana C. dos Santos Pires, Luis H. M. da Silva   +5 more
wiley   +1 more source

Asymptotic Expansion of the Modified Exponential Integral Involving the Mittag-Leffler Function

Mathematics, 2020
We consider the asymptotic expansion of the generalised exponential integral involving the Mittag-Leffler function introduced recently by Mainardi and Masina [Fract. Calc. Appl. Anal. 21 (2018) 1156−1169].
Richard Paris
doaj   +1 more source

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., Nisar, K. S., Mubeen, S., Arshad, M.   +3 more
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Generalized Fractional Integral Operators Involving the H―‐Function and Their Applications to Special Functions

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
This article focuses on the study of fractional integral operators involving the H―‐function. Two main theorems are established that present new fractional integral formulas associated with the H―‐function. Moreover, several well‐known results related to various special functions can be derived as particular cases by assigning suitable parameter values
S. Chandak, B. K. Tripathi, Biniyam Shimelis, Gaston Mandata N′Guerekata   +3 more
wiley   +1 more source

On generalized fractional integral with multivariate Mittag-Leffler function and its applications

Alexandria Engineering Journal, 2022
The fractional calculus (FC) has been extensively studied by researchers due to its vast applications in sciences in the last few years. In fractional calculus, multivariate Mittag–Leffler functions are considered the powerful extension of the classical ...
Amna Nazir, Gauhar Rahman, Asad Ali, Saima Naheed, Kottakkaran Soopy Nisar, Wedad Albalawi, Heba Y. Zahran   +6 more
doaj   +1 more source

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, Hasan Bulut, Ercan Çelik, Zine El Abiddine Fellah   +3 more
wiley   +1 more source

Certain Properties of Extended Mittag-Leffler-Type Function of Arbitrary Order [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية
In this paper, we introduce a new extension of Mittag-Leffler function. We investigate its basic roperties, including recurrence relations, differential formulas, integral representations, aplace transform and Mellin transform.
Maged Bin-Saad, Jihad Younis
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Some results on generalized Euler-type integrals related to the four parameters Mittag-Leffler function

Journal of New Results in Science, 2021
Special functions such as hypergeometric, zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and Mittag-Leffler functions are obtained as a solution to complex differential equations in engineering, science and technology.
Umar Muhammad Abubakar
doaj   +1 more source

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, Yu Wang, Tian-zeng Li, Qian-kun Wang, Sundarapandian Vaidyanathan   +4 more
wiley   +1 more source