Muhammad BILAL Riaz

• Senior Researcher at IT4Innovations, VSB – Technical University of Ostrava, Ostrava, Czech Republic
• Professor (Associate) at University of Management and Technology

This paper investigates realistic anisotropic matter configurations for spherical symmetry in f ( R ) gravity. The solutions obtained from Starobinsky model are used to determine the behavior of PSR J0740+6620, PSR J0348+0432 and 4U 1608-52 with polytropic equation of state. Analysis of physical parameters such as density, pressure, and anisotropy...

This paper investigates realistic anisotropic matter configurations for spherical symmetry in the framework of $f(R)$ gravity. The solutions obtained from Buchdahl-I metric are used to determine the behavior of PSR J0740+6620, PSR J0348+0432 and 4U 1608-52 with Starobinsky model. Analysis of physical parameters such as density, pressure, and anisot...

This paper focuses on the dynamical analysis of the advection-diffusion-reaction equation under various conditions that highlight the system’s sensitivity and potential for chaotic behavior. Traveling wave solutions for the underlying equation are derived using a novel modified \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}...

Investigating an anisotropic charged spherically symmetric core-envelope model for dense star objects is the aim of this paper. The polytropic equation of state (EoS) defines the core of this model, while the linear EoS represents the envelope. The radiation density-containing energy–momentum tensor is used to determine the solution of the Einstein...

In this article, we discuss several compact objects (GW 190814, PSR J0952-0607, PSR J0030+0451, PSR J0740+6620, GW 170817, PSR J1614-2230, PSR J2215+5135, and 4U 1608-52) to predict their masses and radii. A generalized polytropic stellar model within the framework of general relativity is derived by employing the Buchdahl-I metric. All the physica...

In this article, we will explore the collective impact of Starobinsky model and horizon function in the proximity of f ( R ) the theory of gravity ( R is the Ricci scalar) in the dissipative gravitational collapse. Our investigation delves into the radiating stellar model with string density accompanied by an exterior Vaidya spacetime in f ( R ) gr...

In this study, we investigate the stochastic Davey-Stewartson equation in the presence of noise. These two-dimensional integrable equations are higher-dimensional versions of the nonlinear Schrödinger equation. Davey-Stewartson equations are important in plasma physics, nonlinear optics, hydrodynamics, and other disciplines because the solutions th...

This article presents new exact wave solutions for the generalized (3+1)-dimensional nonlinear wave equation involving gas bubbles. The \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \b...

This research focuses on the evolution of the universe and observes pulsars using modified gravitational theory. We computed the Einstein field equations for an anisotropic spherical structure with f ( R ) gravity. Furthermore, our density–pressure relationship is defined using the well-known van der Waals equation of state (VdW EoS). Graphs are us...

In biology and life sciences, fractal theory and fractional calculus have significant applications in simulating and understanding complex problems. In this paper, a compartmental model employing Caputo-type fractional and fractal-fractional operators is presented to analyze Nipah virus (NiV) dynamics and transmission. Initially, the model includes...

Malware is a common word in modern era. Everyone using computer is aware of it. Some users have to face the problem known as Cyber crimes. Nobody can survive without use of modern technologies based on computer networking. To avoid threat of malware, different companies provide antivirus strategies on a high cost. To prevent the data and keep priva...

The open nature of Wireless Sensor Networks (WSNs) renders them an easy target to malicious code propagation, posing a significant and persistent threat to their security. Various mathematical models have been studied in recent literature for understanding the dynamics and control of the propagation of malicious codes in WSNs. However, due to the i...

Important mathematical topics include existence, uniqueness, continuous dependency, regularity, and the averaging principle. In this research work, we establish these results for the conformable fractional stochastic pantograph differential equations (CFSPDEs) in L p space. The situation of p = 2 is generalized by the obtained findings. First, we e...

As technology advances and new features emerge, the demand for Android applications continues to grow, leading to rapid release schedules. These accelerated development timelines often push developers to make rushed changes, often resulting in suboptimal design practices, commonly known as code smells. These issues can degrade application quality,...

Soliton resonances and soliton interaction have gained significant attention in recent years within the field of nonlinear science and engineering due to their promising potential for various applications. This research provides a comprehensive analysis of the soliton interaction dynamics described by the nth-order Klein-Fock-Gordon equation. In th...

Fractional nonlinear partial differential equations are used in many scientific fields to model various processes, although most of these equations lack closed-form solutions. For this reason, methods for approximating solutions that occasionally yield closed-form solutions are crucial for solving these equations. This study introduces a novel tech...

In light of the ponderomotive force, this article focuses on establishing the exact wave structures of the ion sound system. It is the result of non-linear force and affects a charged particle oscillating in an inhomogeneous electromagnetic field. By using the Riemann–Liouville operator, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackag...

In this study, the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(4+1)$$\end{document}-dimensional Davey-Stewartson-Kadomtsev-Petviashvili equation is analyzed to mod...

In this note, we define p-adic mixed Lebesgue space and mixed λ-central Morrey-type spaces and characterize p-adic mixed λ-central bounded mean oscillation space via the boundedness of commutators of p-adic Hardy-type operators on p-adic mixed Lebesgue space. Moreover, we also furnish boundedness of commutators of p-adic Hardy-type operators genera...

Shallow water waves represent a significant and extensively employed wave type in coastal regions. The unconventional bidirectional transmission of extended waves across shallow water is elucidated through nonlinear fractional partial differential equations, specifically the space–time fractional-coupled Whitham–Broer–Kaup equation. The application...

This paper focuses on obtaining exact solutions for the nonlinear Van der Waals gas system using the modified Khater method. Renowned as one of the latest and most precise analytical schemes for nonlinear evolution equations, this method has proven its efficacy by generating diverse solutions for the model under consideration. The governing equatio...

[This corrects the article DOI: 10.1371/journal.pone.0304334.].

Worldwide, smoking is a common social practice, especially in places like schools and on important occasions. The World Health Organization (WHO) states that smoking is the third leading cause of death worldwide and the most significant avoidable cause of disease. Thus in this study, we present the solution behavior of the fractal-fractional (FF) s...

In this research, the ongoing COVID-19 disease by considering the vaccination strategies into mathematical models is discussed. A modified and comprehensive mathematical model that captures the complex relationships between various population compartments, including susceptible (Sα), exposed (Eα), infected (Uα), quarantined (Qα), vaccinated (Vα), a...

The lower and upper solution approach has been widely employed in the literature to ensure the existence of solutions for integer-order boundary value problems. Therefore, in this proposed study, our primary objective is to extend this method to establish the existence results for Atangna-Baleanu-Caputo (ABC) fractional differential equations of or...

This paper is designed for heavy pulsars coming from the Neutron Star Interior Composition Explorer. The research model is describe by Einstein field equations for anisotropic fluid configuration with spherical symmetry. As per present perceptiveness, modified non-linear Van der Waals equation of state is used to relate physical variables. The cont...

This study aims to find exact solutions for a mathematical problem known as the (4+1)-dimensional Boiti Leon Manna Pempinelli (BLMP) equation. In order to convert the governing equation into an ordinary differential equation, we make use of an appropriate wave transformation. This transformation enables the investigation of mathematical solutions,...

Dengue fever poses a global health challenge and has a substantial economic impact on the world economy. Various epidemic models have been studied to gain a better understanding of transmission patterns and formulate efficient control strategies for this global infection. In this paper, we investigate the transmission dynamics of dengue fever using...

Diversified utilizations of permeable domains are found in cooling systems, gas recovery, and insulation engineering. Therefore, this research focused on investigating the heat transport aspects imparted by the buoyantly driven flow of a viscous fluid saturated in a permeable L-shaped enclosure. Darcy Brinkman-Forchheimer model is considered in the...

This study introduces an advanced approach for ranking international football players, addressing the inherent uncertainties in performance evaluations. By integrating dual possibility theory and Pythagorean fuzzy sets, the model accommodates varying degrees of ambiguity and imprecision in player attributes. Additionally, the use of hypersoft set t...

Stratified flows are commonly observed in numerous industrial processes. For example, a gas-condensate pipeline typically uses a stratified flow regime. However, this flow arrangement is stable only under a specific set of operating conditions that allows the formation of stratification. In this study, the authors analyzed the flow attributes of Pr...

This article aims to study the time fractional coupled nonlinear Schrödinger equation, which explains the interaction between modes in nonlinear optics and Bose-Einstein condensation. The proposed generalized projective Riccati equation method and modified auxiliary equation method extract a more efficient and broad range of soliton solutions. Thes...

This manuscript contains several new spaces as the generalizations of fuzzy triple controlled metric space, fuzzy controlled hexagonal metric space, fuzzy pentagonal controlled metric space and intuitionistic fuzzy double controlled metric space. We prove the Banach fixed point theorem in the context of intuitionistic fuzzy pentagonal controlled me...

This study endeavors to examine the dynamics of the generalized Kadomtsev-Petviashvili (gKP) equation in (n + 1) dimensions. Based on the comprehensive three-wave methodology and the Hirota’s bilinear technique, the gKP equation is meticulously examined. By means of symbolic computation, a number of three-wave solutions are derived. Applying the Li...

We propose a new framework for spherical charged compact objects admitting conformal motion in five-dimensional spacetime. The outer spacetime is considered as Reissner-Nordström to obtain matching conditions. The behavior of model characteristics like stress, pressure, and surface tension for the specific density profile is investigated by using E...

This paper focuses on obtaining exact solutions of nonlinear Akbota equation through the application of the modified Khater method and Sardar sub-equation method. Renowned as one of the latest and precise analytical schemes for nonlinear evolution equations, this method has proven its efficacy by generating diverse solutions for the model under con...

The diverse use of heat and mass transport mechanisms on three-dimensional rotating systems has been discovered to improve the efficiency of several physiological and industrial processes. These include, for example, fiber technology, the process of extrusion, and polymer extraction. The purpose of this dissertation is to investigate the transporta...

This article explores the examination of the widely employed zig-zag optical lattice model for cold bosonic atoms, which is commonly utilized to depict nonlinear wave in fluid mechanics and plasma physics. The focus is on obtaining soliton solutions in optics and investigating their physical properties. A wave transformation is initially applied to...

In the present work, a simple intelligence-based computation of artificial neural networks with the Levenberg-Marquardt backpropagation algorithm is developed to analyze the new ferromagnetic hybrid nanofluid flow model in the presence of a magnetic dipole within the context of flow over a stretching sheet. A combination of cobalt and iron (III) ox...

In this work, we present an iterative method for gravitational collapse in higher dimensions. A framework is developed in a post-quasi-static regime with non-comoving coordinates. The internal five-dimensional system is smoothly matched with the corresponding outer Vaidya space-time over the boundary surface (BS). This correspondence provides a set...

The fundamental problem in electronic cooling systems is the implementation of a cavity such that it can be used to provide localized cooling to specific components, such as CPUs or GPUs, enhancing their performance and longevity. It can also be used in microfluidic devices for controlled drug delivery, where precise control of fluid flow is crucia...

[This corrects the article DOI: 10.1371/journal.pone.0304424.].

The growing global population causes more anthropogenic carbon dioxide $ (CO_2) $ emissions and raises the need for forest products, which in turn causes deforestation and elevated $ CO_2 $ levels. A rise in the concentration of carbon dioxide in the atmosphere is the major reason for global warming. Carbon dioxide concentrations must be reduced so...

The paper introduce a novel auxiliary equation method for the successful derivation of traveling wave solutions for the non-linear Kairat-X (K-X) equation. Along with other novel results, soliton, singular, triangular periodic, and doubly periodic topological solutions are among the solutions obtained. The study revisits the concept of optical soli...

The paper introduce a novel auxiliary equation method for the successful derivation of traveling wave solutions for the non-linear Kairat-X (K-X) equation. Along with other novel results, soliton, singular, triangular periodic, and doubly periodic topological solutions are among the solutions obtained. The study revisits the concept of optical soli...

Fractional differential equations play a significant role in various scientific and engineering disciplines, offering a more sophisticated framework for modeling complex behaviors and phenomena that involve multiple independent variables and non-integer-order derivatives. In the current research, an effective cubic B-spline collocation method is us...

The combination of AA7075 and Ti6Al4V aluminum alloys provides an effective balance of endurance, corrosion resistance, and lightness. Some potential applications include aviation components, marine structures with anti-corrosion characteristics, surgical instruments, and athletic apparel. Therefore, the hybrid nanofluid (Hnf) consists of aluminum...

Soliton dynamics and nonlinear phenomena in quantum deformation has been investigated through conformal time differential generalized form of q deformed Sinh-Gordon equation. The underlying equation has recently undergone substantial amount of research. In Phase 1, we employed modified auxiliary and new direct extended algebraic methods. Trigonomet...

The intended research aims to explore the convection phenomena of a hybrid nanofluid composed of gold and silver nanoparticles. This research is novel and significant because there is a lack of existing studies on the flow behavior of hybrid nanoparticles with important physical properties of blood base fluids, especially in the case of sidewall ru...

The current study explores the (2+1)-dimensional Chaffee-Infante equation, which holds significant importance in theoretical physics renowned reaction-diffusion equation with widespread applications across multiple disciplines, for example, ion-acoustic waves in optical fibres, fluid dynamics, electromagnetic wave fields, high-energy physics, coast...

The magnetohydrodynamics tangent hyperbolic nanofluid (THNF) flow with the mutual impact of melting heat transfer and wedge angle over a permeable wedge is investigated numerically in the present study. Electronic devices generate excessive heat during operations, so THNF is often employed to regulate them. THNF has the ability to neutralize heat w...

In this study, an examination of the Yu-Toda-Sasa-Fukuyama equation is undertaken, a model that characterizes elastic waves in a lattice or interfacial waves in a two layer liquid. Our emphasis lies in conducting a comprehensive analysis of this equation through various viewpoints, including the examination of soliton dynamics, exploration of bifur...

The current study focuses on investigating the solutions of the mathematical model in the form of special functions. The phenomenon is described by a set of partial differential equations, which are then transformed into non-dimensional form. In order to improve the rheology of the Casson fluid, a fractional model is developed by using a new fracti...

The core purpose of this work is the investigation, formulation and develop a mathematical model by dint of a new fractional modeling approach namely Prabhakar fractional operator to study the dynamics of Jeffrey fluid flow and heat transfer phenomena. Exact analysis of natural convective flow of the Jeffrey fluid to derive analytical solutions wit...

The examination of new (3 + 1)-dimensional wave equations is undertaken in this study. Initially, the identification of the Lie symmetries of the model is carried out through the utilization of the Lie symmetry approach. The commutator and adjoint table of the symmetries are presented. Subsequently, the model under discussion is transformed into an...