Fahad Sameer Alshammari
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View article: Fractal–fractional modeling and chaos analysis of a financial system with generalized memory kernels
Fractal–fractional modeling and chaos analysis of a financial system with generalized memory kernels Open
View article: A Linear Subdivision Scheme with Sixth-OrderPrecision and $C^{5}$ Smoothness
A Linear Subdivision Scheme with Sixth-OrderPrecision and $C^{5}$ Smoothness Open
Subdivision schemes are a crucial component of geometric modeling, widely applied in curve and surface design. Classical schemes such as the six-point interpolatory scheme and the quintic B-spline are well known for their efficiency and sm…
View article: 3D Printing in Healthcare: Applications in Dental Surgical Guides, Anatomical Anesthesia Models, and Customized Medication
3D Printing in Healthcare: Applications in Dental Surgical Guides, Anatomical Anesthesia Models, and Customized Medication Open
View article: Enhanced Numerical Solutions for Fractional PDEs Using Monte Carlo PINNs Coupled with Cuckoo Search Optimization
Enhanced Numerical Solutions for Fractional PDEs Using Monte Carlo PINNs Coupled with Cuckoo Search Optimization Open
In this study, we introduce an innovative approach for addressing fractional partial differential equations (fPDEs) by combining Monte Carlo-based physics-informed neural networks (PINNs) with the cuckoo search (CS) optimization algorithm,…
View article: Approximation of inverse problems for fractional differential equations in abstract spaces
Approximation of inverse problems for fractional differential equations in abstract spaces Open
This article focuses on approximating a fractional-order inverse problem (IP) for an abstract differential equation in a Hilbert space. The main tools to find out the results are fixed-point methods, the α-resolvent family, and optimal con…
View article: Enhanced Numerical Solutions for Fractional PDEs Using Monte Carlo PINNs Coupled with Cuckoo Search Optimization
Enhanced Numerical Solutions for Fractional PDEs Using Monte Carlo PINNs Coupled with Cuckoo Search Optimization Open
In this study, we introduce an innovative approach for addressing fractional partial differential equations (fPDEs) by combining Monte Carlo-based Physics-Informed Neural Networks (PINNs) with the Cuckoo Search (CS) optimization algorithm,…
View article: A NEW RECURRENT NEURAL NETWORK METHOD TO MELTING HEAT TRANSFER ANALYSIS ON MHD DARCY–FORCHHEIMER HYBRID NANOFLUID FLOW IN A POROUS MEDIUM
A NEW RECURRENT NEURAL NETWORK METHOD TO MELTING HEAT TRANSFER ANALYSIS ON MHD DARCY–FORCHHEIMER HYBRID NANOFLUID FLOW IN A POROUS MEDIUM Open
The present communication examines new recurrent neural networks (RNNs) with Levenberg–Marquardt method (RNNs-LMM) based on backpropagation to find the solutions of melting heat transfer analysis in a 3D-MHD Darcy–Forchheimer hybrid nanofl…
View article: SIGNIFICANCE OF CHEMICAL REACTION AND HEAT TRANSFER IN HYBRID NANOFLUID OVER VERTICAL POROUS SURFACE WITH VARIABLE VISCOSITY
SIGNIFICANCE OF CHEMICAL REACTION AND HEAT TRANSFER IN HYBRID NANOFLUID OVER VERTICAL POROUS SURFACE WITH VARIABLE VISCOSITY Open
This study investigates the flow of hybrid nanofluid over a vertically stretching surface, with a focus on the effects of convection, chemical reactions, and variable viscosity. Additionally, it considers the influence of heat sources and …
View article: Dynamics and prevention of gemini virus infection in red chili crops studied with generalized fractional operator: Analysis and modeling
Dynamics and prevention of gemini virus infection in red chili crops studied with generalized fractional operator: Analysis and modeling Open
The gemini virus, a major obstacle to red chili production, is exacerbated by yellow virus propagation. This study explores the potential of an epidemic model using generalized fractal fractional operators to observe dynamics and develop p…
View article: CONVECTIVE MICROPOLAR HYBRID NANOFLUID MHD DISSIPATIVE FLOW WITH NONUNIFORM HEAT SOURCE AND SLIP CONDITIONS ACROSS A POROUS EXTENDING SURFACE: NUMERICAL APPROACH
CONVECTIVE MICROPOLAR HYBRID NANOFLUID MHD DISSIPATIVE FLOW WITH NONUNIFORM HEAT SOURCE AND SLIP CONDITIONS ACROSS A POROUS EXTENDING SURFACE: NUMERICAL APPROACH Open
This research aims to investigate the effect of thermal radiation on a porous stretching sheet with MHD micropolar hybrid nanofluid along with convective boundary constrains. Two types of nanoparticles [Formula: see text] and water as a ba…
View article: INTELLIGENT COMPUTING OF NUMERICAL TREATMENT OF MODEL OF HEAT TRANSFER OF MICROPOLAR FLUID THROUGH A POROUS MEDIUM WITH RADIATION
INTELLIGENT COMPUTING OF NUMERICAL TREATMENT OF MODEL OF HEAT TRANSFER OF MICROPOLAR FLUID THROUGH A POROUS MEDIUM WITH RADIATION Open
In this research, we employ artificial neural networks (ANNs) with the Levenberg–Marquardt backpropagation method (ANN-LMBM) to effectively model and solve the nonlinear heat transfer problem of micropolar (MP) fluid through porous media u…
View article: THERMAL RADIATION EFFECTS ON FRACTALS MHD FLOW WITH HEAT AND MASS TRANSFER OVER ROTATING POROUS DISK IN THE PRESENCE OF DUFOUR AND SORET USING AN ARTIFICIAL NEURAL NETWORK APPROACH
THERMAL RADIATION EFFECTS ON FRACTALS MHD FLOW WITH HEAT AND MASS TRANSFER OVER ROTATING POROUS DISK IN THE PRESENCE OF DUFOUR AND SORET USING AN ARTIFICIAL NEURAL NETWORK APPROACH Open
This paper aims to explore the new application of an intelligent numerical computational procedure based on neural networks backpropagated with the Levenberg–Marquardt scheme (NNBLMS) to investigate the thermal radiation effects on magneto…
View article: A new double inertial subgradient extragradient method for solving quasimonotone variationalinequality problems
A new double inertial subgradient extragradient method for solving quasimonotone variationalinequality problems Open
View article: Quantitative Analysis of the Fractional Fokker–Planck–Levy Equation via a Modified Physics-Informed Neural Network Architecture
Quantitative Analysis of the Fractional Fokker–Planck–Levy Equation via a Modified Physics-Informed Neural Network Architecture Open
An innovative approach is utilized in this paper to solve the fractional Fokker–Planck–Levy (FFPL) equation. A hybrid technique is designed by combining the finite difference method (FDM), Adams numerical technique, and physics-informed ne…
View article: Quantitative Analysis of the Fractional Fokker–Planck Levy Equation via a Modified Physics-Informed Neural Network Architecture
Quantitative Analysis of the Fractional Fokker–Planck Levy Equation via a Modified Physics-Informed Neural Network Architecture Open
An innovative approach is utilized in this paper to solve the Fractional Fokker–Planck–Levy (FFPL) equation. A hybrid technique is designed by combining the finite difference method (FDM), Adams numerical technique, and physics-informed ne…
View article: Existence analysis on multi-derivative nonlinear fractional neutral impulsive integro-differential equations
Existence analysis on multi-derivative nonlinear fractional neutral impulsive integro-differential equations Open
This article utilizes the Atangana–Baleanu (AB) fractional derivative to examine the behavior of multi-derivative fractional neutral impulsive integro-differential equations under non-local conditions. To demonstrate the existence, uniquen…
View article: Mathematical modeling and machine learning-based optimization for enhancing biofiltration efficiency of volatile organic compounds
Mathematical modeling and machine learning-based optimization for enhancing biofiltration efficiency of volatile organic compounds Open
Biofiltration is a method of pollution management that utilizes a bioreactor containing live material to absorb and destroy pollutants biologically. In this paper, we investigate mathematical models of biofiltration for mixing volatile org…
View article: A numerical computational technique for solving controllability of impulsive Hilfer fractional integro-differential equation with order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.svg" display="inline" id="d1e942"><mml:mrow><mml:mi>ϑ</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">∈</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>
A numerical computational technique for solving controllability of impulsive Hilfer fractional integro-differential equation with order Open
The primary focus of this paper is the concept of controllability criteria for the impulsive Hilfer fractional integro-differential equation (IHFrIDE) of order 0≤ϖ≤1 and 1<ϑ<2 in Hilbert space. We use the iterative process and the strongly…
View article: Machine learning-based prediction of heat transfer performance in annular fins with functionally graded materials
Machine learning-based prediction of heat transfer performance in annular fins with functionally graded materials Open
View article: Wave solutions in (3 + 1)-dimensional generalized fractional mKdV-ZK equation utilizing jacobi elliptic functions
Wave solutions in (3 + 1)-dimensional generalized fractional mKdV-ZK equation utilizing jacobi elliptic functions Open
In this research, we investigate the effects of fractional order on the (3 + 1)-dimensional generalized space-time fractional modified KdV-Zakharov-Kuznetsov (mKdV-ZK) equation. We approach the problem by utilizing the conformable fraction…
View article: Dynamics of solitary waves, chaotic behaviors, and Jacobi elliptic wave solutions in telecommunication systems
Dynamics of solitary waves, chaotic behaviors, and Jacobi elliptic wave solutions in telecommunication systems Open
This research explores bifurcation of a nonlinear model concerning with the telecommunication strait. Possible all phase plane diagrams due to various parametric conditions are found. Derivation of analytical tangled wave propagating solut…
View article: Assessing Subjective Visual Vertical Reliability: A Comparison of the “Bucket Test,” a Mobile App, and a Virtual System
Assessing Subjective Visual Vertical Reliability: A Comparison of the “Bucket Test,” a Mobile App, and a Virtual System Open
The subjective visual vertical (SVV) is a potential indicator of vestibular dysfunction as it assesses an individual’s perception of a vertical line. Despite this, and as a result of specific logistical impediments, SVV has not entered sta…
View article: Defense Strategies for Epidemic Cyber Security Threats: Modeling and Analysis by Using a Machine Learning Approach
Defense Strategies for Epidemic Cyber Security Threats: Modeling and Analysis by Using a Machine Learning Approach Open
This paper investigates the mathematical modelling of cybercrime attacks on multiple devices connected to the server. This model is a very successful way for cybercrime, bio-mathematics, and artificial intelligence to investigate and compr…
View article: New technique for solving the numerical computation of neutral fractional functional integro-differential equation based on the Legendre wavelet method
New technique for solving the numerical computation of neutral fractional functional integro-differential equation based on the Legendre wavelet method Open
The aim of this work is to solve a numerical computation of the neutral fractional functional integro-differential equation based on a new approach to the Legendre wavelet method. The concept of fractional derivatives was examined in the s…
View article: Stability analysis on the post-quantum structure of a boundary value problem: application on the new fractional $ (p, q) $-thermostat system
Stability analysis on the post-quantum structure of a boundary value problem: application on the new fractional $ (p, q) $-thermostat system Open
In this paper, we discussed some qualitative properties of solutions to a thermostat system in the framework of a novel mathematical model designed by the new $ (p, q) $-derivatives in fractional post-quantum calculus. We transformed the e…
View article: Quantitative and Qualitative Analysis of a Quantum Multisingular Problem by Computational Method and Heatmaps
Quantitative and Qualitative Analysis of a Quantum Multisingular Problem by Computational Method and Heatmaps Open
The physical phenomena with uncontrollable singularities pose challenges in solving related differential equations. In this work, we intend to investigate the quantitative and qualitative aspects of a multi-singular integro-differential eq…
View article: The $osp(1|2)$ \Z2 graded algebra and its irreducible representations
The $osp(1|2)$ \Z2 graded algebra and its irreducible representations Open
In this paper, we construct finite dimensional irreducible representations for two different versions of \Z2 graded $osp(1|2)$ algebra based on eight- and ten-generators. We find that there are two different second-order Casimir operators …
View article: Bifurcation analysis on ion sound and Langmuir solitary waves solutions to the stochastic models with multiplicative noises
Bifurcation analysis on ion sound and Langmuir solitary waves solutions to the stochastic models with multiplicative noises Open
View article: Dynamical Structures of Multi-Solitons and Interaction of Solitons to the Higher-Order KdV-5 Equation
Dynamical Structures of Multi-Solitons and Interaction of Solitons to the Higher-Order KdV-5 Equation Open
In this study, we build multi-wave solutions of the KdV-5 model through Hirota’s bilinear method. Taking complex conjugate values of the free parameters, various colliding exact solutions in the form of rogue wave, symmetric bell soliton a…
View article: Performance of Heat Transfer in Micropolar Fluid with Isothermal and Isoflux Boundary Conditions Using Supervised Neural Networks
Performance of Heat Transfer in Micropolar Fluid with Isothermal and Isoflux Boundary Conditions Using Supervised Neural Networks Open
The current study delivers a numerical investigation on the performance of heat transfer and flow of micropolar fluid in porous Darcy structures with isothermal and isoflux walls (boundary conditions) of a stretching sheet. The dynamics an…