Yu‐Ming Chu
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View article: Approximation of the Jensen Gap for First Order Differentiable Functions
Approximation of the Jensen Gap for First Order Differentiable Functions Open
This article proposes two upper bounds for the gap of discrete and integral Jensen inequality for the functions f ∈ C[a, b]. First bound is obtained when |f′|q , q > 1 is convex and second is obtained when this function is concave. In the …
View article: $\mathbb{Z}_2$ topological trion insulator
$\mathbb{Z}_2$ topological trion insulator Open
Trions, charged quasiparticles formed by binding an exciton to an excess charge carrier, dominate the optical response of doped transition metal dichalcogenides (TMDs), and the study of the transport properties of trions in TMDs may have a…
View article: A COMPREHENSIVE ANALYSIS AND OPTIMAL CONTROL FOR A NONLINEAR (φ1,φ2)-FRACTIONAL DIFFERENTIAL EQUATIONS TOXIC DRINKS MODEL PERTAINING TO MITTAG-LEFFLER KERNEL TECHNIQUES
A COMPREHENSIVE ANALYSIS AND OPTIMAL CONTROL FOR A NONLINEAR (φ1,φ2)-FRACTIONAL DIFFERENTIAL EQUATIONS TOXIC DRINKS MODEL PERTAINING TO MITTAG-LEFFLER KERNEL TECHNIQUES Open
This research examines a novel type of numerical analysis by presenting a six-cohort system of differential equations with regard to newly developed [Formula: see text] derivative operators. The framework’s qualitative aspect, as well as i…
View article: ADVANCED DYNAMIC NUMERICAL SCHEME FOR FRACTAL-FRACTIONAL DIFFERENTIAL OPERATORS FOR CYTOTOXIC T LYMPHOCYTE MODEL PERTAINING TO MITTAG-LEFFLER KERNEL
ADVANCED DYNAMIC NUMERICAL SCHEME FOR FRACTAL-FRACTIONAL DIFFERENTIAL OPERATORS FOR CYTOTOXIC T LYMPHOCYTE MODEL PERTAINING TO MITTAG-LEFFLER KERNEL Open
In this paper, a virus mechanism framework involving cytotoxic T lymphocyte (CTL) and antibody immunologic reactions is developed and tested by using the fractal-fractional scheme in the Atangana–Baleanu viewpoint. The framework takes into…
View article: Monetary Sovereignty and Central Bank Digital Currencies: Competing Models for Future Cross‐Border Payment Platforms
Monetary Sovereignty and Central Bank Digital Currencies: Competing Models for Future Cross‐Border Payment Platforms Open
As central banks move to adopt digital currencies (CBDCs), two issues arise: the implications for monetary sovereignty and the potential efficiencies from cross‐border interoperability. The former is particularly a concern for emerging mar…
View article: Quantitative assessment and optimization strategy of flexibility supply and demand based on renewable energy high-penetration power system
Quantitative assessment and optimization strategy of flexibility supply and demand based on renewable energy high-penetration power system Open
With the transformation of the global energy structure, the high penetration rate of renewable energy in power systems has become a trend. This article focuses on the quantitative evaluation and optimization strategies for the flexible sup…
View article: Complex adaptive learning cortical neural network systems for solving time-fractional difference equations with bursting and mixed-mode oscillation behaviours
Complex adaptive learning cortical neural network systems for solving time-fractional difference equations with bursting and mixed-mode oscillation behaviours Open
Complex networks have been programmed to mimic the input and output functions in multiple biophysical algorithms of cortical neurons at spiking resolution. Prior research has demonstrated that the ineffectual features of membranes can be t…
View article: The Spherical q-Linear Diophantine Fuzzy Multiple-Criteria Group Decision-Making Based on Differential Measure
The Spherical q-Linear Diophantine Fuzzy Multiple-Criteria Group Decision-Making Based on Differential Measure Open
Spherical q-linear Diophantine fuzzy sets (Sq-LDFSs) proved more effective for handling uncertainty and vagueness in multi-criteria decision-making (MADM). It does not only cover the data in two variable parameters but is also beneficial f…
View article: An advanced approach for the electrical responses of discrete fractional-order biophysical neural network models and their dynamical responses
An advanced approach for the electrical responses of discrete fractional-order biophysical neural network models and their dynamical responses Open
The multiple activities of neurons frequently generate several spiking-bursting variations observed within the neurological mechanism. We show that a discrete fractional-order activated nerve cell framework incorporating a Caputo-type frac…
View article: Complex dynamical analysis of fractional differences Willamowski–Röossler chemical reaction model in time-scale analysis
Complex dynamical analysis of fractional differences Willamowski–Röossler chemical reaction model in time-scale analysis Open
Real mechanisms that are advancing in a complex network exhibit chaotic behaviour. This behaviour is crucial in physical and complex systems involving numerical modelling frameworks because it essentially determines the framework’s evoluti…
View article: A NEW FRACTAL-FRACTIONAL HYBRID MODEL FOR STUDYING CLIMATE CHANGE ON COASTAL ECOSYSTEMS FROM THE MATHEMATICAL POINT OF VIEW
A NEW FRACTAL-FRACTIONAL HYBRID MODEL FOR STUDYING CLIMATE CHANGE ON COASTAL ECOSYSTEMS FROM THE MATHEMATICAL POINT OF VIEW Open
Rapid emissions of green-house gases (GHGs) are causing global warming, which is wreaking havoc on the earth’s climate system. As a result, the coastal ecosystems of the world are on the verge of becoming endangered. We develop a fractal-f…
View article: A New Scheme of the ARA Transform for Solving Fractional-Order Waves-Like Equations Involving Variable Coefficients
A New Scheme of the ARA Transform for Solving Fractional-Order Waves-Like Equations Involving Variable Coefficients Open
The goal of this research is to develop a new, simplified analytical method known as the ARA-residue power series method for obtaining exact-approximate solutions employing Caputo type fractional partial differential equations (PDEs) with …
View article: Some $$p,q$$-cubic quasi-rung orthopair fuzzy operators for multi-attribute decision-making
Some $$p,q$$-cubic quasi-rung orthopair fuzzy operators for multi-attribute decision-making Open
This paper aims to support decision-makers improve their ability to accurately capture and represent their judgment in a wide range of situations. To do this, we propose a new type of fuzzy set called a $$p,q$$ -cubic quasi-rung ortho…
View article: Complexity analysis and discrete fractional difference implementation of the Hindmarsh–Rose neuron system
Complexity analysis and discrete fractional difference implementation of the Hindmarsh–Rose neuron system Open
Nowadays, multistability assessment in discrete nonlinear fractional difference systems is an emotive topic. This paper introduces a novel discrete, nonequilibrium, memristor-based Hindmarsh–Rose neuron (HRN) with the Caputo fractional dif…
View article: New insights of a stochastic nonlinear differential equations model with ergodic stationary distribution via fractal-fractional derivatives involving random perturbations
New insights of a stochastic nonlinear differential equations model with ergodic stationary distribution via fractal-fractional derivatives involving random perturbations Open
Rumor circulation has been a serious challenge to preserving the established societal structure. Recently, significant attempts have been made to explore the patterns of rumors using epidemic models, assuming that only rumor streams for a …
View article: Chemically reactive flow of viscous thermophoretic fluid over wedge with variable thermal conductivity and viscosity
Chemically reactive flow of viscous thermophoretic fluid over wedge with variable thermal conductivity and viscosity Open
The study on heat and mass transportation play a noteworthy role in the liquid atmosphere wherever nearby is considerable temperature and deposition of diffusion transport in a stirring wedge. Heat and mass transport on fluids discoveries …
View article: Solitary wave dynamics of thin-film ferroelectric material equation
Solitary wave dynamics of thin-film ferroelectric material equation Open
Ferroelectrics are dielectric materials which exhibit nonlinear behaviors. Thin films made from the ferroelectric materials are used various modern electronics devices. The propagation of solitary polarization in thin-film ferroelectric ma…