Results 71 to 80 of about 1,991 (228)

Fractional calculus of generalized k-Mittag-Leffler function and its applications to statistical distribution [PDF]

Advances in Difference Equations, 2016
Nous visons à étudier les opérateurs de calcul fractionnaire MSM, l'opérateur différentiel fractionnaire MSM de type Caputo et l'opérateur d'intégrale fractionnaire de voie de la fonction généralisée de k-Mittag-Leffler. Nous étudions également certaines distributions statistiques associées à la fonction généralisée de k-Mittag-Leffler.
Kottakkaran Sooppy Nisar, Ashraf Fetoh Eata, Mujahed Al‐Dhaifallah, Junesang Choi   +3 more
openaire   +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

q-Analogues of Lyapunov-type inequalities involving Riemann–Liouville fractional derivatives

Қарағанды университетінің хабаршысы. Математика сериясы
In this article, new q-analogues of Lyapunov-type inequalities are presented for two-point fractional boundary value problems involving the Riemann–Liouville fractional q-derivative with well-posed q-boundary conditions.
N.S. Tokmagambetov, B.K. Tolegen
doaj   +1 more source

Neuronal Dynamics of an Intrinsically Bursting Neuron Through the Caputo–Fabrizio Fractal–Fractional Hodgkin–Huxley Model

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, M. J. Abedin, A. Hoque, M. G. Hafez, Jaume Giné   +4 more
wiley   +1 more source

Generalized Mittag-Leffler functions in the theory of finite-size scaling for systems with strong anisotropy and/or long-range interaction

, 2005
The difficulties arising in the investigation of finite-size scaling in $d$--dimensional O(n) systems with strong anisotropy and/or long-range interaction, decaying with the interparticle distance $r$ as $r^{-d-\sigma ...
Abramobitz M, Bateman H, Brankov J G, Brézin E, Cardy J, Chamati H, Chamati H, Dzherbashyan M M, Glaser M L, H Chamati, Henkel M, Hucht A, N S Tonchev, Prabhakar T R, Prudnikov A P, Rudnick J, Tonchev N S, Tonchev N S   +17 more
core   +1 more source

Comparison of Integer‐, Constant‐, and Variable‐Order Fractional Models of Competition for Student Population Using Caputo–Fabrizio Fractional Derivative With Policy Interventions

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This study develops constant‐order (CO) and variable‐order (VO) Caputo–Fabrizio (CF) fractional derivative (CFFD) models to extend the classical integer‐order framework for analyzing competition among public, private, and nonenrolled student populations under varying policy intervention intensities.
Kiprotich Ezra Bett, Cyrus Gitonga Ngari, Grace Gakii Muthuri, Kareem Elgindy   +3 more
wiley   +1 more source

A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function

Researches in Mathematics
This research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explored.
K.K. Chaudhary, S.B. Rao
doaj   +1 more source

On a Unification of Generalized Mittag-Leffler Function and Family of Bessel Functions

Advances in Pure Mathematics, 2013
In the present work, a unification of certain functions of mathematical physics is proposed and its properties are studied. The proposed function unifies Lommel function, Struve function, the Bessel-Maitland function and its generalization, Dotsenko function, generalized Mittag-Leffler function etc.
Jyotindra C. Prajapati, Bhadresh I. Dave, Bharti V. Nathwani   +2 more
openaire   +2 more sources

Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
A fractional‐order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation.
Lata Chanchlani, Manisha, D. L. Suthar, S. D. Purohit, Ahmed Saoudi   +4 more
wiley   +1 more source

A note on fractional-type models of population dynamics

Mathematical Modelling and Analysis
The fractional exponential function is considered. General expansions in fractional powers are used to solve fractional population dynamics problems. Laguerretype exponentials are also considered, and an application to Laguerre-type fractional logistic ...
Diego Caratelli, Paolo Emilio Ricci
doaj   +1 more source