Mutaz Mohammad
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View article: Heavy Metal Pollution in Arid Urban Environments: Anthropogenic and Geogenic Insights from Road Dust in the United Arab Emirates
Heavy Metal Pollution in Arid Urban Environments: Anthropogenic and Geogenic Insights from Road Dust in the United Arab Emirates Open
Dust is a significant environmental concern due to its pervasive nature and potential health risks, particularly from heavy metals. This is exacerbated in urban areas, where dust can act as a reservoir for pollutants, posing risks to human…
View article: A Tight Wavelet Frames‐Based Method for Numerically Solving Fractional Riccati Differential Equations
A Tight Wavelet Frames‐Based Method for Numerically Solving Fractional Riccati Differential Equations Open
This paper introduces an innovative numerical framework for solving fractal‐type fractional Riccati differential equations, utilizing tight wavelet frames constructed from Coiflet wavelet scaling functions. Central to this approach is a no…
View article: Computational precision in time fractional PDEs: Euler wavelets and novel numerical techniques
Computational precision in time fractional PDEs: Euler wavelets and novel numerical techniques Open
This paper presents innovative numerical methodologies designed to solve challenging time fractional partial differential equations, with a focus on the Burgers’, Fisher–KPP, and nonlinear Schrödinger equations. By employing advanced wavel…
View article: A new fractional derivative extending classical concepts: Theory and applications
A new fractional derivative extending classical concepts: Theory and applications Open
In this paper, a novel general definition for the fractional derivative and fractional integral based on an undefined kernel function is introduced. For 0<α≤1, this definition aligns with classical interpretations and is applicable for cal…
View article: Piecewise fractional derivatives and wavelets in epidemic modeling
Piecewise fractional derivatives and wavelets in epidemic modeling Open
In this paper, we propose a novel methodology for studying the dynamics of epidemic spread, focusing on the utilization of fundamental mathematical concepts related to piecewise differential and integral operators. These mathematical tools…
View article: Stress state and waves in the lithospheric plate simulation: A 3rd generation AI architecture
Stress state and waves in the lithospheric plate simulation: A 3rd generation AI architecture Open
Natural disasters present ongoing risks to human life and the global economy, with climate change and environmental factors exacerbating these threats. This article introduces an innovative approach to earthquake prediction and modeling, u…
View article: Fractional Bernstein operational matrices for solving integro-differential equations involved by Caputo fractional derivative
Fractional Bernstein operational matrices for solving integro-differential equations involved by Caputo fractional derivative Open
The present work is devoted to developing two numerical techniques based on fractional Bernstein polynomials, namely fractional Bernstein operational matrix method, to numerically solving a class of fractional integro-differential equation…
View article: A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets
A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets Open
An effective numerical scheme based on Euler wavelets is proposed for numerically solving a class of neutral delay differential equations. The technique explores the numerical solution via Euler wavelet truncated series generated by a set …
View article: A Novel Numerical Method for Solving Fractional Diffusion-Wave and Nonlinear Fredholm and Volterra Integral Equations with Zero Absolute Error
A Novel Numerical Method for Solving Fractional Diffusion-Wave and Nonlinear Fredholm and Volterra Integral Equations with Zero Absolute Error Open
In this work, a new numerical method for the fractional diffusion-wave equation and nonlinear Fredholm and Volterra integro-differential equations is proposed. The method is based on Euler wavelet approximation and matrix inversion of an M…
View article: The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation
The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation Open
The well-known novel virus (COVID-19) is a new strain of coronavirus family, declared by the World Health Organization (WHO) as a dangerous epidemic. More than 3.5 million positive cases and 250 thousand deaths (up to May 5, 2020) caused b…
View article: Explicit tight frames for simulating a new system of fractional nonlinear partial differential equation model of Alzheimer disease
Explicit tight frames for simulating a new system of fractional nonlinear partial differential equation model of Alzheimer disease Open
This paper is devoted to develop a new mathematical model for Alzheimer disease based on a system of fractional-order partial differential equations. The system of Alzheimer disease includes neurons, astrocytes, microglias and peripheral m…
View article: An Efficient Method Based on Framelets for Solving Fractional Volterra Integral Equations
An Efficient Method Based on Framelets for Solving Fractional Volterra Integral Equations Open
This paper is devoted to shedding some light on the advantages of using tight frame systems for solving some types of fractional Volterra integral equations (FVIEs) involved by the Caputo fractional order derivative. A tight frame or simpl…
View article: The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation
The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation Open
The well-known novel virus (COVID-19) is a new strain of coronavirus which considered by the World Health Organization (WHO) as a dangerous epidemic. More than 3.5 million positive cases and 250 thousand deaths (up to May 5, 2020) caused b…
View article: APPLICATIONS OF BI-FRAMELET SYSTEMS FOR SOLVING FRACTIONAL ORDER DIFFERENTIAL EQUATIONS
APPLICATIONS OF BI-FRAMELET SYSTEMS FOR SOLVING FRACTIONAL ORDER DIFFERENTIAL EQUATIONS Open
Framelets and their attractive features in many disciplines have attracted a great interest in the recent years. This paper intends to show the advantages of using bi-framelet systems in the context of numerical fractional differential equ…
View article: Bi-orthogonal wavelets for investigating Gibbs effects via oblique extension principle
Bi-orthogonal wavelets for investigating Gibbs effects via oblique extension principle Open
Gibbs effect is generally known for Fourier and Wavelets expansions of a function in the neighborhood of its discontinuities points which deals with the nonuniform convergence of its truncated sums of these expansions. We study this phenom…
View article: Derivation of the Governing Differential Equation of Vibrating Host Plate with Two Piezoelectric Patches
Derivation of the Governing Differential Equation of Vibrating Host Plate with Two Piezoelectric Patches Open
One of the most difficult challenges facing researchers these days is making industrial
\napplications (e.g. engines, automobiles, and aircraft) run on renewable energy and
\nreducing the use of fuel as much as possible. One approach to ac…
View article: Biorthogonal-Wavelet-Based Method for Numerical Solution of Volterra Integral Equations
Biorthogonal-Wavelet-Based Method for Numerical Solution of Volterra Integral Equations Open
Framelets theory has been well studied in many applications in image processing, data recovery and computational analysis due to the key properties of framelets such as sparse representation and accuracy in coefficients recovery in the are…
View article: On the Gibbs Effect Based on the Quasi-Affine Dual Tight Framelets System Generated Using the Mixed Oblique Extension Principle
On the Gibbs Effect Based on the Quasi-Affine Dual Tight Framelets System Generated Using the Mixed Oblique Extension Principle Open
Gibbs effect represents the non-uniform convergence of the nth Fourier partial sums in approximating functions in the neighborhood of their non-removable discontinuities (jump discontinuities). The overshoots and undershoots cannot be remo…
View article: Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions
Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions Open
This article introduces the concept of Heronian mean operators, geometric Heronian mean operators, neutrosophic cubic number–improved generalized weighted Heronian mean operators, neutrosophic cubic number–improved generalized weighted geo…
View article: Magnetized suspended carbon nanotubes based nanofluid flow with bio-convection and entropy generation past a vertical cone
Magnetized suspended carbon nanotubes based nanofluid flow with bio-convection and entropy generation past a vertical cone Open
The captivating attributes of carbon nanotubes (CNT) comprising chemical and mechanical steadiness, outstanding electrical and thermal conductivities, featherweight, and physiochemical consistency make them coveted materials in the manufac…