Results 61 to 70 of about 2,646 (211)

Classes of Harmonic Functions Related to Mittag-Leffler Function

Axioms, 2023
The purpose of this paper is to find new inclusion relations of the harmonic class HF(ϱ,γ) with the subclasses SHF*,KHF and TNHF(τ) of harmonic functions by applying the convolution operator Θ(ℑ) associated with the Mittag-Leffler function. Further for ϱ=0, several special cases of the main results are also obtained.
Abeer A. Al-Dohiman, Basem Aref Frasin, Naci Tasar, Fethiye Müge Sakar   +3 more
openaire   +3 more sources

Certain Properties Associated with Generalized $M$-Series using Hadamard Product [PDF]

Sahand Communications in Mathematical Analysis
The generalized $M$-series is a hybrid function of generalized Mittag-Leffler function and generalized hypergeometric function.  The principal aim of this paper is to investigate certain properties resembling those of the Mittag-Leffler and ...
Dheerandra Sachan, Dinesh Kumar, Kottakkaran Nisar   +2 more
doaj   +1 more source

Fractal–fractional model for analysis of tuberculosis infection using Ethiopia incidence data

Quantitative Biology, Volume 14, Issue 3, September 2026.
Abstract In this study, a fractional‐order SEIuITR $SE{I}_{u}ITR$ model was proposed to examine the transmission of tuberculosis (TB) in the community. The proposed model was rigorously examined for well‐posedness. The basic reproduction number was also derived, and the disease‐free equilibrium was obtained.
Kumama Regassa Cheneke, Fatmawati Fatmawati, Mustafa Bayram   +2 more
wiley   +1 more source

Integral representations of Mittag-Leffler function on the positive real axis

Trends in Computational and Applied Mathematics, 2019
The Mittag-Leffler functions appear in many problems associated with fractional calculus. In this paper, we use the methodology for evaluation of the inverse Laplace transform, proposed by M. N.
Eliana Contharteze Grigoletto, Edmundo Capelas Oliveira, Rubens Figueiredo Camargo   +2 more
doaj   +1 more source

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

Engineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source

On two special functions, generalizing the Mittag-Leffler type function, their properties and applications

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
Two special functions, concerning Mittag-Leffler type functions, are studied. The first is the modification of generalized Mittag-Leffler function, which was introduced by A. Kilbas and M. Saigo; the second is the special case of the first one. The relation
Eugeniy N Ogorodnikov
doaj   +3 more sources

(h−m) $(h-m)$-convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag-Leffler function

Journal of Inequalities and Applications, 2019
The aim of this paper is to present the Hadamard and the Fejér–Hadamard integral inequalities for (h−m) $(h-m)$-convex functions due to an extended generalized Mittag-Leffler function.
Shin Min Kang, Ghulam Farid, Waqas Nazeer, Sajid Mehmood   +3 more
doaj   +1 more source

Piezo-catalytic degradation of Havriliak–Negami type [PDF]

Journal of Advanced Dielectrics, 2019
Two sets of experimental data of piezo-catalytic degradations are adapted to fit with three-parameter Mittag–Leffler functions. One set is degradation on methyl orange (MO) using catalysis of nano-sized barium titanates, and another set is on Rhodamine-B
C. L. Wang
doaj   +1 more source

Isotopies of complete minimal surfaces of finite total curvature

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Let M$M$ be a Riemann surface biholomorphic to an affine algebraic curve. We show that the inclusion of the space ℜNC∗(M,Cn)$\Re \mathrm{NC}_*(M,\mathbb {C}^n)$ of real parts of nonflat proper algebraic null immersions M→Cn$M\rightarrow \mathbb {C}^n$, n⩾3$n\geqslant 3$, into the space CMI∗(M,Rn)$\mathrm{CMI}_*(M,\mathbb {R}^n)$ of complete ...
Antonio Alarcón, Franc Forstnerič, Finnur Lárusson   +2 more
wiley   +1 more source

Sigmoids based on Mittag-Leffler functions: Ideas, modeling, and computational experiments

Transactions on Computational Modeling and Intelligent Systems
Progress has been made in developing sigmoids derived from the Mittag-Leffler function. Generally, the Mittag-Leffler functions of one and two parameters, as well as the Atangana-Baleanu formulation, are used to substitute the traditional exponential in
Jordan Hristov
doaj   +1 more source