Mustafa Habib
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View article: Selective right heart valve remodelling in a mouse model of carcinoid disease revealed by high-resolution episcopic microscopy
Selective right heart valve remodelling in a mouse model of carcinoid disease revealed by high-resolution episcopic microscopy Open
Carcinoid heart disease, a severe complication of neuroendocrine tumors, affects up to 50% of patients and is challenging to treat due to a limited understanding of its mechanisms. The disease is characterized by structural remodeling and …
View article: OPTIMAL CONTROL ANALYSIS OF A FRACTIONAL-ORDER MODEL FOR ONLINE GAMING ADDICTION
OPTIMAL CONTROL ANALYSIS OF A FRACTIONAL-ORDER MODEL FOR ONLINE GAMING ADDICTION Open
This paper presents an optimal control framework for modeling online gaming addiction through a system of fractional differential equations. We apply the forward-backward sweep method with the generalized Euler scheme to compute the numeri…
View article: Fractional optimal control strategies for mitigating cholera epidemics: A mathematical modeling approach
Fractional optimal control strategies for mitigating cholera epidemics: A mathematical modeling approach Open
The SIQRB model is employed in this research to propose a Caputo-based fractional derivative optimal control model for the mitigation of cholera epidemics. Significant properties of the model, such as the non-negativity and boundedness of …
View article: Survival outcomes in isolated severe tricuspid regurgitation according to therapeutic modalities: a systematic review and meta-analysis
Survival outcomes in isolated severe tricuspid regurgitation according to therapeutic modalities: a systematic review and meta-analysis Open
Importance Managing isolated severe tricuspid regurgitation (TR) poses significant challenges, with questions recently arising about the efficacy of surgery and percutaneous therapies compared with conservative approaches in improving surv…
View article: FRACTIONAL OPTIMAL CONTROL FOR THE ANALYTICAL TREATMENT OF MALARIA MODEL
FRACTIONAL OPTIMAL CONTROL FOR THE ANALYTICAL TREATMENT OF MALARIA MODEL Open
Fractional calculus has been an effective method for modeling and controlling dynamical systems that display memory-dependent and nonlocal behaviors in recent times. This research suggests a novel fractional optimal control method for trea…
View article: Impact of the transpulmonary pressure on right ventricle impairment incidence during acute respiratory distress syndrome: a pilot study in adults and children
Impact of the transpulmonary pressure on right ventricle impairment incidence during acute respiratory distress syndrome: a pilot study in adults and children Open
Background Right ventricle impairment (RVI) is common during acute respiratory distress syndrome (ARDS) in adults and children, possibly mediated by the level of transpulmonary pressure ( P L ). We sought to investigate the impact of the l…
View article: Analysis of Climatic Model Using Fractional Optimal Control
Analysis of Climatic Model Using Fractional Optimal Control Open
CO2 emissions are one of the most critical and challenging problems impacting the atmosphere. In order to reduce CO2 emissions, significant efforts must be put forward in advanced research. In this research, we propose a fractional optimal…
View article: Diverse solitary wave solutions of fractional order Hirota-Satsuma coupled KdV system using two expansion methods
Diverse solitary wave solutions of fractional order Hirota-Satsuma coupled KdV system using two expansion methods Open
The generalized Hirota-Satsuma coupled KdV system with fractional-order derivative plays a significant role to simulate the interaction of nearby identical-weight particles in a crystal lattice structure, two long waves interaction with di…
View article: A New Iterative Method for the Approximate Solution of Klein-Gordon and Sine-Gordon Equations
A New Iterative Method for the Approximate Solution of Klein-Gordon and Sine-Gordon Equations Open
This article presents a new iterative method (NIM) for the investigation of the approximate solution of the Klein-Gordon and sine-Gordon equations. This approach is formulated on the combination of the Mohand transform and the homotopy per…
View article: Numerical Investigation of Nonlinear Shock Wave Equations with Fractional Order in Propagating Disturbance
Numerical Investigation of Nonlinear Shock Wave Equations with Fractional Order in Propagating Disturbance Open
The symmetry design of the system contains integer partial differential equations and fractional-order partial differential equations with fractional derivative. In this paper, we develop a scheme to examine fractional-order shock wave equ…
View article: Assorted soliton wave solutions of time-fractional BBM-Burger and Sharma-Tasso-Olver equations in nonlinear analysis
Assorted soliton wave solutions of time-fractional BBM-Burger and Sharma-Tasso-Olver equations in nonlinear analysis Open
The present study investigates a couple of time-fractional equations, to be specific, the BBM-Burger equation and time conformable Sharma-Tasso-Olver equation in the modified Riemann-Liouville sense and extracted general and standard solia…
View article: Approximate Solution of Nonlinear Time-Fractional Klein-Gordon Equations Using Yang Transform
Approximate Solution of Nonlinear Time-Fractional Klein-Gordon Equations Using Yang Transform Open
The algebras of the symmetry operators for the Klein–Gordon equation are important for a charged test particle, moving in an external electromagnetic field in a space time manifold on the isotropic hydrosulphate. In this paper, we develop …
View article: Numerical Investigation of the Nonlinear Coupled Fractional Massive Thirring Equation Using Two‐Scale Approach
Numerical Investigation of the Nonlinear Coupled Fractional Massive Thirring Equation Using Two‐Scale Approach Open
In this paper, we investigate the numerical solution of the coupled fractional massive Thirring equation with the aid of He’s fractional complex transform (FCT). This study plays a significant aspect in the field of quantum physics, weakly…
View article: Semianalytical Approach for the Approximate Solution of Delay Differential Equations
Semianalytical Approach for the Approximate Solution of Delay Differential Equations Open
In this analysis, we develop a new approach to investigate the semianalytical solution of the delay differential equations. Mohand transform coupled with the homotopy perturbation method is called Mohand homotopy perturbation transform met…
View article: Solitary Wave Solutions of Conformable Time Fractional Equations Using Modified Simplest Equation Method
Solitary Wave Solutions of Conformable Time Fractional Equations Using Modified Simplest Equation Method Open
This study presents a modified simplest equation method (MSEM) to investigate some real and exact solutions of conformable time fractional Benjamin‐Bona‐Mahony (BBM) equation and Chan‐Hilliard (CH) equation. We use traveling wave transform…
View article: Characterizing semi-groups through the properties of their fuzzy m-bi-ideals
Characterizing semi-groups through the properties of their fuzzy m-bi-ideals Open
In this article, we present the idea of the fuzzy m-bi-ideals in semi-groups and describe their basic algebraic properties.We also develop the forms of the fuzzy m-bi-ideals generated by an element, a subset, and a sub-semi-group of the se…
View article: Solitary wave solutions to some nonlinear fractional evolution equations in mathematical physics
Solitary wave solutions to some nonlinear fractional evolution equations in mathematical physics Open
The objective of this article is to construct new and further general analytical wave solutions to some nonlinear evolution equations of fractional order in the sense of the modified Riemann-Liouville derivative relating to mathematical ph…
View article: Topological invariants for the line graphs of some classes of graphs
Topological invariants for the line graphs of some classes of graphs Open
Graph theory plays important roles in the fields of electronic and electrical engineering. For example, it is critical in signal processing, networking, communication theory, and many other important topics. A topological index (TI) is a r…
View article: Zagreb Polynomials and redefined Zagreb indices of Dendrimers and Polyomino Chains
Zagreb Polynomials and redefined Zagreb indices of Dendrimers and Polyomino Chains Open
Dendrimers have an incredibly strong potential because their structure allows multivalent frameworks, i.e. one dendrimer molecule has many possible destinations to couple to a functioning species. Researchers expected to utilize the hydrop…
View article: Irregularity Indices of Dendrimer Structures Used as Molecular Disrupter in QSAR Study
Irregularity Indices of Dendrimer Structures Used as Molecular Disrupter in QSAR Study Open
Dendrimers are rising polymeric structures known for their flexibility in medication conveyance and high usefulness, whose properties are same biomolecules. These nanostructured macromolecules have shown potential capacities in capturing a…
View article: Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations
Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations Open
Different results regarding different integro-differentials are usually not properly generalized, as they often do not satisfy some of the constraints. The field of fuzzy integro-differentials is very rich these days because of their diffe…
View article: M-Polynomials and Degree-Based Topological Indices of VC<sub>5</sub>C<sub>7</sub>[p,q] and HC<sub>5</sub>C<sub>7</sub>[p,q] Nanotubes
M-Polynomials and Degree-Based Topological Indices of VC<sub>5</sub>C<sub>7</sub>[p,q] and HC<sub>5</sub>C<sub>7</sub>[p,q] Nanotubes Open
Analysts are creating materials, for example, a carbon nanotube-based composite created by NASA that bends when a voltage is connected. Applications incorporate the use of an electrical voltage to change the shape (transform) of airship wi…
View article: Multiplicative topological indices of honeycomb derived networks
Multiplicative topological indices of honeycomb derived networks Open
Topological indices are the numerical values associated with chemical structures that correlate physico-chemical properties with structural properties. There are various classes of topological indices such as degree based topological indic…
View article: Radio Number for Generalized Petersen Graphs $P(n,2)$
Radio Number for Generalized Petersen Graphs $P(n,2)$ Open
Let be a connected graph and be the distance between any two vertices of . The diameter of is denoted by and is equal to . The radio labeling (RL) for the graph is an injective function such that for any pair of vertices and . The s…
View article: The generalized Kudryashov method for new closed form traveling wave solutions to some NLEEs
The generalized Kudryashov method for new closed form traveling wave solutions to some NLEEs Open
In this work, we construct closed form traveling wave solutions to some nonlinear evolution equations (NLEEs) associated with mathematical physics. This work implements the well-established generalized Kudryashov method (gKM) to compute ne…
View article: Antimagicness of $mC_n$ -Path and Its Disjoint Union
Antimagicness of $mC_n$ -Path and Its Disjoint Union Open
Let be a simple graph with finite vertices and edges. An -covering of is a family of subgraphs of isomorphic to such that every edge in belongs to , for some . Such a graph is a --antimagic if a bijection such that for all , . For …
View article: Amalgamations and Cycle-Antimagicness
Amalgamations and Cycle-Antimagicness Open
A finite simple graph is called a --antimagic if satisfies the following properties: (i) has an -covering by the family of subgraphs where every , (ii) there exists a bijection such that the -weights constitute an arithmetic progressi…