Results 81 to 90 of about 20,113 (252)
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
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
wiley +1 more source
Tur\'an type inequalities for regular Coulomb wave functions
, 2015 Tur\'an, Mitrinovi\'c-Adamovi\'c and Wilker type inequalities are deduced for regular Coulomb wave functions. The proofs are based on a Mittag-Leffler expansion for the regular Coulomb wave function, which may be of independent interest.
Baricz, Árpád
core +1 more source
Pascu-Type Analytic Functions by Using Mittag-Leffler Functions in Janowski Domain [PDF]
, 2021 Wali Khan Mashwan +5 more
openalex +1 more source
On a Unified Mittag-Leffler Function and Associated Fractional Integral Operator
Mathematical Problems in Engineering, 2021 The aim of this paper is to unify the extended Mittag-Leffler function and generalized Q function and define a unified Mittag-Leffler function. Both the extended Mittag-Leffler function and generalized Q function can be obtained from the unified Mittag ...
Yanyan Zhang +3 more
semanticscholar +1 more source
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper introduces and investigates novel fractional integral operators featuring the extended Mittag‐Leffler function in the kernel. After establishing the core properties of these operators, we derive the corresponding Hadamard and Fejér–Hadamard inequalities.
Maged Bin-Saad +4 more
wiley +1 more source
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
openaire +2 more sources
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
doaj +1 more source
Finite-Time Stability of Impulsive Fractional Differential Equations with Pure Delays
Axioms, 2023 This paper introduces a novel concept of the impulsive delayed Mittag–Leffler-type vector function, an extension of the Mittag–Leffler matrix function.
Tingting Xie, Mengmeng Li
doaj +1 more source
Understanding Measles Contagion: A Fractional‐Order Model With Stability and Sensitivity Insights
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we propose an epidemiological mathematical model described by a system of nonlinear differential equations of fractional order (FODEs). Specifically, we employ the Caputo fractional derivative (CFD). Our analysis verifies the existence of a solution.
Mahmoud H. DarAssi +3 more
wiley +1 more source