Taha Radwan
57223021036
Publications - 11
Bio-signal induced emotion monitoring and detection of anxiety: A sensor-driven approach with regression based random forest
Publication Name: Methodsx
Publication Date: 2025-12-01
Volume: 15
Issue: Unknown
Page Range: Unknown
Description:
The present study addresses the rising importance of mental health by devel oping a novel healthcare plan. We integrate physiological data from sensors, such as Heart Rate (HR) and Galvanic Skin Response (GSR), to predict and manage anxiety. These sensors provide non-invasive insights into the com plex relationship between physiological reactions and mental well-being. To analyze the collected data, we developed a novel algorithm, Regression Based Random Forest (RBRF). Using a large-scale dataset, we empirically validated the effectiveness of our approach, achieving an impressive 95 % accuracy in identifying anxiety. Our findings demonstrate the potential of sensor-based technologies and advanced algorithms to empower individuals to proactively monitor and manage their mental health. This approach holds significant promise for improving the precision and effectiveness of mental health care. • The study aims to improve mental healthcare by incorporating physiological data (Heart Rate and Galvanic Skin Response) to detect and potentially treat anxiety. • Employs a novel algorithm, Regression Based Random Forest (RBRF), to analyze the collected data and identify anxiety. • Achieved high accuracy (95 %) in identifying anxiety using the RBRF algorithm on a large dataset.
Open Access: Yes
Dynamics of Low-Pass Electrical Transmission Lines: Lie Symmetries, Solitons, Bifurcations, and Modulation Instability
Publication Name: Journal of Nonlinear Mathematical Physics
Publication Date: 2026-12-01
Volume: 33
Issue: 1
Page Range: Unknown
Description:
Lie symmetry analysis is an effective method for solving differential equations and simplifying them by reducing their nonlinearity and order. Symmetries have a crucial role not only in differential equations but also in different scientific fields. In this study, we apply Lie symmetry analysis to investigate the symmetries of the low-pass electrical transmission lines model. Additionally, we derive the transformed equivalent forms of the equation and obtain some invariant solutions. The article discusses the discovery of novel soliton wave solutions and their propagation characteristics within nonlinear low-pass electrical transmission lines. By employing a new mapping method, the study establishes various types of soliton solutions for the nonlinear evolution equations governing the behavior of nonlinear low-pass electrical transmission lines. The governed equation in this study can be used to improve signal transmission in optical fiber communication, electrical networks, power nonlinear signal filtering and grid stability. The study also incorporates a bifurcation analysis to explore different solution branches of the governing model, shedding light on the system’s complex dynamics. By the Hamiltonian system, the study investigates phase portraits that illustrate the flow of solutions. The linear stability analysis is also examined to check the modulation instability of the solitons. This analysis is significant for understanding the small disturbances in the system that affect the wave propagation. The results of the study are visually presented via 3D plots, 2D and contour plots generated with Maples software. These visual aids validate the analytical findings and provide a clear representation of the wave behavior in nonlinear low-pass electrical transmission lines. The soliton solutions derived are new and contribute to a deeper understanding of nonlinear wave phenomena in electrical transmission lines.
Open Access: Yes
Stochastic Breather and Soliton Dynamics of a Third-Order Complex mKdV (Higher-Order NLS-Type) Equation
Publication Name: Journal of Nonlinear Mathematical Physics
Publication Date: 2026-12-01
Volume: 33
Issue: 1
Page Range: Unknown
Description:
This study presents a comprehensive investigation of optical solitary waves governed by a third-order complex modified Korteweg-de Vries (higher-order nonlinear Schrödinger-type, mKdV-NLS) equation incorporating stochastic effects. Initially, the methodology outlines the general procedure of this approach. Subsequently, by applying the traveling waves transformation to the given equation, it is reformulated into nonlinear ordinary differential equations (NLODEs). These NLODEs are then decomposed into their imaginary and real components. Furthermore, the proposed methodology is implemented to derive new solutions for optical solitary waves within the mKdV-NLS type model, encompassing stochastic breather-like waves, singular solitons, periodic waves, and various wave interactions. Additionally, numerical visualizations of the exact analytical solitary waves are provided, facilitating an examination of the stochastic term’s influence on wave dynamics. This study advances the understanding of optical wave behavior and clarifies the effects of stochastic contributions, offering valuable insights for both theoretical studies and practical applications in optics and related fields.
Open Access: Yes
Analytical and numerical investigation of jet engine vibration equation using least square homotopy perturbation method
Publication Name: Journal of Low Frequency Noise Vibration and Active Control
Publication Date: 2026-01-01
Volume: Unknown
Issue: Unknown
Page Range: Unknown
Description:
This research focuses on solving the nonlinear second-order jet engine vibration equation utilizing a hybrid analytical technique named the least square homotopy perturbation method (LSHPM). The numerical and graphical comparison of the solutions obtained using the homotopy perturbation method (HPM), LSHPM, and the MATLAB built-in solver bvp5c is presented across four distinct cases. Additionally, a comparative analysis between the solutions derived from LSHPM and those reported in previous literature is also presented. The tabular and graphical representation of the solutions, along with the numerical validation through residual error analysis, are given. Furthermore, the convergence analysis of the LSHPM for its stability and solution reliability is provided. The graphical and numerical representation of the residual error analysis reveals that LSHPM exhibits superiority over HPM in terms of rapid convergence and accuracy. The strong agreement between the results obtained from HPM and bvp5c with those of LSHPM demonstrates that LSHPM offers a more efficient, reliable, and fast convergent solution of the initial and boundary value problem.
Open Access: Yes
CONTROLLABILITY OF THE TIME-VARYING FRACTIONAL DYNAMICAL SYSTEMS HAVING MULTIPLE DELYAS IN CONTROL WITH CAPUTO FRACTIONAL DERIVATIVE
Publication Name: Fractals
Publication Date: 2026-01-01
Volume: Unknown
Issue: Unknown
Page Range: Unknown
Description:
The objective of this study is to analyze controllability results for time-varying linear and nonlinear fractional dynamical systems with multiple control delays within the framework of the Caputo fractional derivative. This paper focuses on examining control problems within a finite time interval, aiming to identify a control function that steers the system’s solution from a specified initial state to a targeted final state. For linear systems, the study establishes necessary and sufficient conditions for controllability by utilizing the Grammian matrix techniques. For nonlinear systems, the existence of a solution is ensured through an iterative technique, with completeness of the space guaranteed. With the help of this technique, we establish the sufficient conditions for the controllability of time-varying nonlinear fractional dynamical systems. The results show that the controllability of fractional dynamical systems can be effectively analyzed with the given framework, along with numerical simulations and graphical representations to clarify the theoretical findings.
Open Access: Yes
SIGNIFICANCE OF FRACTAL INTERFACIAL LAYER AND NANOPARTICLE’S RADIUS ON THE DYNAMICS OF NANOFLUIDS FLOW VIA CHANNEL OF POROUS WALLS
Publication Name: Fractals
Publication Date: 2026-01-01
Volume: Unknown
Issue: Unknown
Page Range: Unknown
Description:
This paper investigates heat and mass transfer phenomena by assessing advanced thermal conductivity models (TCMs) that significantly influence the flow of metallic (Au) nanoparticles under suitable boundary conditions. By integrating high TCMs with innovative interfacial fractal theory, we demonstrate a marked enhancement in thermal and concentration transfer. The analysis further investigates the physical model of a hybrid porous channel under the influence of nanofluid flow, magnetohydrodynamics (MHD), and chemical reactions. A detailed numerical investigation of nonlinear partial differential equations, converted into higher-order nonlinear ordinary differential equations (ODEs) using similarity transformations, reveals results by employing single-phase models of nanofluids. The ODEs are solved numerically via the shooting approach combined with the fourth-order Runge–Kutta method, using Mathematica to produce both graphical and numerical results. A comparative graph for expanding/contracting cases deliberated under the impact of MHD and chemical reaction. For expanding and suction cases, volume fractions of nanoparticles increase the function of the Nusselt number. Similarly, MHD is also an increasing function of shear stress near the porous surfaces. As the radius of the nanoparticle (dp) and the inter-particle spacing (h) increase, the radial velocity and temperature profiles also rise in both porous walls. It shows that chemical reactions alter thermal and mass transfer characteristics, with optimal parameters identified for maximizing efficiency. The research uncovers nonlinear interactions between flow dynamics and nanoparticle characteristics, explores the impact of external magnetic fields, and examines how boundary conditions influence transfer processes. Overall, this work enhances our understanding of using fractal theory to improve heat and mass transfer in engineering applications involving metallic nanoparticles.
Open Access: Yes
Unraveling the Bäcklund Transformation and Interaction Phenomena in Nonlinear Dispersive Media Describing Combined pKP-BKP System in (3+1) Dimensions
Publication Name: Journal of Nonlinear Mathematical Physics
Publication Date: 2026-12-01
Volume: 33
Issue: 1
Page Range: Unknown
Description:
This work studies the exact solutions of the integrable (3+1)-dimensional combined potential Kadomtsev-Petviashvili (pKP) equation with the B-type Kadomtsev-Petviashvili (BKP) equation, which is used to characterize several nonlinear oscillations occurring in hydrodynamics, plasma physics, and nonlinear optics. A bilinear representation of the pKP-BKP model is used to study the properties of different wave solutions. A variety of ansatzes are utilized to derive lump cross-kink waves, lump cross-periodic waves, rogue waves, as well as two, three, and multi-wave solutions pertinent to the model. In addition, a traveling wave transformation is applied to transform the problem into an ordinary differential equation. The new auxiliary equation methodology yields solutions including rational, exponential, hyperbolic, and trigonometric functions. Graphical visualizations using 2D plots, contour plots, and 3D plots show the dynamics of the obtained solutions. These solutions are of great importance in nonlinear fiber optics and telecommunications, which contribute to our understanding of the fundamental physical models.
Open Access: Yes
Langevin neutral impulsive fractional stochastic system along fractional Brownian motion-A controllability analysis
Publication Name: Journal of Low Frequency Noise Vibration and Active Control
Publication Date: 2026-01-01
Volume: Unknown
Issue: Unknown
Page Range: Unknown
Description:
The purpose of this work is to investigate the controllability of Langevin-type stochastic neutral impulsive integro-differential equations governed by the Caputo fractional derivative and driven by fractional Brownian motion, which arise naturally in systems exhibiting memory, impulsive effects, and stochastic disturbances. Using resolvent operators and fixed-point techniques, necessary and sufficient controllability conditions are established for the associated linear system, while the controllability of the nonlinear system is demonstrated via the Banach contraction principle. The theoretical results confirm that appropriate control functions can steer the system to a desired state within a finite time interval. Finally, illustrative numerical examples are provided to demonstrate the applicability and effectiveness of the obtained results, highlighting their relevance to practical stochastic control problems.
Open Access: Yes
A SPECTRAL COLLOCATION SCHEME WITH 2D ULTRASPHERICAL WAVELETS FOR FRACTIONAL NONLINEAR GAS DYNAMICS EQUATIONS UNDER CAPUTO–FABRIZIO DERIVATIVE
Publication Name: Fractals
Publication Date: 2026-01-01
Volume: Unknown
Issue: Unknown
Page Range: Unknown
Description:
Gas Dynamics Equations (GDEs) play a fundamental role in modeling fluid flows phenomena across a range of applications, from environmental systems to aerospace engineering. These equations mathematically represent the fundamental laws of mass, momentum and energy conservation. Modeling complex gas flows often requires advanced mathematical tools capable of capturing nonlocal and memory-dependent behavior. Therefore, this study explores the implementation of the Caputo–Fabrizio Fractional Derivative (CFFD) in the analysis of GDEs, highlighting its potential to accurately capture the behavior of complex fluid dynamics systems. A two-dimensional (2D) wavelet-based approach combined with suitable collocation grids is employed to approximate the solutions for spacetime Fractional Gas Dynamics Equations (FGDEs). The concept of the CFFD, with its nonsingular kernel, is integrated into the framework of GDEs, offering a more precise analytical perspective. By reformulating the FGDEs into a system of algebraic equations, the proposed approach enables efficient computation via iterative technique. The error analysis of the numerical results is presented through graphs and tables for three illustrative examples with varying fractional values, demonstrating a strong correlation between the analytical and approximated solutions. The performance of the scheme is evaluated using multiple error metrics, including minimum absolute error, L∞ error, L2 error, and LRMS errors. The absolute errors demonstrate the improvement in results of FGDEs as the wavelet basis increases. The results validate the reliability and ease of implementation of the suggested approach for solving the FGDEs. The study demonstrates the method’s reliability, and potential for solving a wide class of nonlinear fractional models governed by nonlocal dynamics.
Open Access: Yes
Modeling backward bifurcation cholera diseases with time delays: insights into treatment impact
Publication Name: Modeling Earth Systems and Environment
Publication Date: 2026-04-01
Volume: 12
Issue: 2
Page Range: Unknown
Description:
In this paper, we investigate the emergence of backward bifurcation in a treatment-dependent cholera transmission model incorporating time delays. We develop a delay differential equation framework that captures key aspects of cholera dynamics, including delayed treatment responses, degradation of water quality (modeled through bacterial concentration dynamics with natural decay), and nonlinear infection processes. A thorough mathematical analysis is conducted to derive the basic reproduction number and explore the local and global stability of the equilibrium points. Special emphasis is placed on identifying parameter regimes that give rise to backward bifurcation, revealing the possibility of multiple endemic equilibria even when the basic reproduction number is below unity. In addition, we incorporate optimal control strategies by introducing a time-dependent control variable u(t), which represents the intensity of treatment interventions. The role of u(t) in mitigating disease transmission and improving public health outcomes is rigorously analyzed through Pontryagin’s Maximum Principle. Numerical simulations highlight the impact of treatment efficacy and intervention delays on epidemic trajectories. The findings underscore the critical importance of timely and sustained control efforts in preventing severe cholera outbreaks and reducing the burden of disease within affected populations.
Open Access: Yes
Fractal geometry-based Klein-Gordon model for heat and mass transfer in a cylindrical cavity with variable thermal conductivity
Publication Name: Propulsion and Power Research
Publication Date: 2026-03-01
Volume: 15
Issue: 1
Page Range: 179-196
Description:
This study presents a generalized framework of vector calculus for non-integer dimensional spaces, motivated by the prevalence of fractals in nature. The work formulates first- and second-order differential operators, including gradient, divergence, and scalar and vector Laplacian, for scalar and rotationally covariant vector functions. This framework is applied to the thermoelastic response of an infinite fractal medium with a cylindrical cavity, a problem that incorporates thermoelastic mass diffusion and variable thermal conductivity through the Kirchhoff transformation. The system is analyzed under combined thermal and chemical shocks at the boundary, with the medium remaining mechanically fixed. The governing equations are solved using the Laplace transform method, and Zakian technique is employed for numerical inversion. The computational results indicate that parameters such as delay time and fractal dimension significantly influence the material's response. The graphical analysis visually examines the effects of different kernel functions, fractal dimension, variable thermal conductivity, nonlocal length and time scales on the thermoelastic response, providing a clear illustration of their impact. Specifically, an increase in fractal dimension leads to a more pronounced reduction in the thermoelastic response near the cylindrical cavity. Furthermore, an examination of different memory-dependent kernel functions reveals that nonlinear kernels demonstrate superior performance compared to linear kernels within this theoretical framework.
Open Access: Yes
