Department of Mathematics
Permanent URI for this communityhttps://repository.cuilahore.edu.pk/handle/123456789/21
Browse
45 results
Search Results
Item Insights of Modified Entropy on Therodynamics of Black Holes in Einstein Maxwell Scalar Theory(Library Information Services COMSATS University Lahore Campus, 2024-03-17) Ayesha Siddiqa; FA22-RMT-050; Dr. Shamaila Rani; LHR TP 9383Insights of Modified Entropy on Therodynamics of Black Holes in Einstein Maxwell Scalar TheoryItem Hermite–Hadamard Type Integral Inequalities via Different Convexities And Applications(Library Information Services COMSATS University Lahore Campus, 2024-03-17) Muhammad Jahanzaib; Fa22-rmt-031; Dr. Sadia Khalid; LHR TP 9374Hermite–Hadamard TypeIntegral Inequalities via Different Convexities AndApplicationsItem Integral Inequalities for Different Types of Convexity with Applications(Library Information Services COMSATS University Lahore Campus, 2024-03-17) Ayman Masood; FA22-RMT-005; Dr. Sadia Khalid; LHR TP 9379We present new inequalities for various types of convex functions and give few refinements and upper bounds of some integral inequalities that hold for functions whose derivatives of absolute values are geometrically geometrically convex and geometrically arithmetically convex. We also present the applications of our research work.Item Existence and Stability of Neutron Stars in Minimally Coupled Gravity(Library Information Services COMSATS University Lahore Campus, 2024-03-17) Fahad Hainf; FA22-RMT-042; Dr. Muhammad Zubair; LHR TP 9378Relativistic stars’ equilibrium and stability evolved as an exciting aspect in both modified theories of gravity and GR. When these systems reflect movements and make an effort to maintain stability, they attract a lot of attention. The dynamical analysis of gravitating systems plays key role in structure formation that is why astrophysicists and cosmologists pay great attention in the discussion of stability range of gravitating sources.Here, we shall analyze the stability of NSs by analyzing the evolution of hydrostatic equilibrium configu ration for the choice of EoS p = ω(ρ4B), with ω = 1 3 and B represents Bag constant. In this scheme we pick the minimally coupled F(R,T) gravity of the form F(R,T) = R+2λT, λ stands as the coupling parameter. We will compare our results with recent observational data.Item Study on Boundary Layer Flow of Viscoelastic Fluid under Application of Lower Convected Derivative(Library Information Services COMSATS University Lahore Campus, 2024-03-17) Sana Mehmood; FA22-RMT-030; Dr. Mohsan Hassan; LHR TP 9375Viscoelastic fluids are types of non-Newtonian fluids that show both viscous and elastic behavior under stress. This combination of properties makes them more complex than Newtonian fluids that only show viscous characteristics. These fluids commonly exist in nature and are generated in various industries as well. Some examples of these fluids include polymer solutions, biological fluids, slime, paints, etc. The aim of the research study is to study the complex viscoelastic fluids for different applications. To gain a better understanding of these fluids, the mathematical models of rheological properties is developed and further used in transport equations to see the flow behavior as well as used in various engineering parametersItem Zagreb Connection Indices for Some Benzenoid Systems(Library Information Services COMSATS University Lahore Campus, 2024-03-17) Kiramat Ali; FA22-RMT-049; Dr. Kashif Ali; LHR TP 9386A benzenoid system is a molecular structure discovered in organic chemistry that compris esa planar, cyclic arrangement of carbon atoms connected by alternating single and double bonds. Polycyclic hydrocarbons, heterocyclic compounds, and organic molecules with fused rings can all contain benzenoid system. A benzenoid system is a finite connected subgraph of an infinite hexagonal lattice that has neither non-hexagonal internal faces nor cut vertices. The ultimate goal is to derive mathematical formulas for first, second and modified Zagreb connection indices for the line graph of k-subdivided of six benzenoid systems(three pericondensed and three catacondensed systems). In the end, we compute graphical and numerical comparisons between the first, second, and modify Zagreb con nection indices of these systemsItem Physical Aspects of Dark Universe Through Matter Growth Perturbations(Library Information Services COMSATS University Lahore Campus, 2024-03-17) Aneela; Fa22-rmt-004; Dr. Shamaila Rani; LHR TP 9376Physical Aspects of Dark Universe Through Matter Growth PerturbationsItem Study of Solitary Wave Solutions of Some Nonlinear Evolution Equations(Library Information Services COMSATS University Lahore Campus, 2024-03-17) Mehak Shahzad; FA22-RMT-034; Dr. Sarfraz Ahmad; LHR TP 9384We investigate soliton interactions within the framework of the Cubic-Quartic Fokas Lenells equation (CQFL) and Nonlinear Schrdinger Equation (NLSE) by employing the generalised Kudryashov approach (GK), Sine jordan equation approach and the Hirota bilinear method (HBM). Many integrable NLEEs possess the soliton solutions which re tains the speed as well as the shape, even after collision with each other. Several efficient techniques have been introduced in literature for obtaining soliton solutions of NLSEs and NLEEs for last two decades, e.g F-expansion approach and its modification, HBM, Sine-Gordon architectonic, and other approaches. The Hirota bilinear method (HBM) was introduced by Ryogo Hirota in 1970s, for solving integrable systems of PDEs and is still used an efficient mathematical method for studying propagation of wave packets. In this thesis, firstly we study soliton interactions by HBM and GKM of Cubic-Quartic Fokes lenell equation with linear gain or loss and time modulated dispersion. Due to its spatially varying coefficients property it has significance in the field of fluid dynamics, classical and quantum field theories, nonlinear optics and physics etc. The nonlinear Schrodinger equation with AC nonlinearity (NLSE-AC) will be studied with the assis- ¨ tance of GKM and SGE and sort out some new solitons and their interactions for our governing model. In this research , we investigate multiple soliton interactions and other solitary wave solutions (SWS) for a NLSE with AC nonlinearity (NLSE-AC). Due to its high order dispersion term. By controlling the parameters, we will obtain S, V, parabolic and anti parabolic, butterfly, bright and dark shaped solitons. Due to variance in grav itation these solitons play a significant role in lasers, magnetic devices and nonlinear phenomenaItem Analysis of the Formulations and Continuities of Kernels of Integral Equations for Ahlfors Map(Library Information Services COMSATS University Lahore Campus, 2024-03-17) Muhammad Amin Khan; FA22-RMT-017; Dr. Kashif Nazar; LHR TP 9380This study aims to examine and analyze the boundary integral equations of the Ahlfors map specifically for multiply connected regions. The Ahlfors map, known for mapping the boundary of a domain to the unit circle, helps in understanding the domain’s structure. Our goal is to rederive boundary integral equations that are more effective in determining the Ahlfors map and its unknown zeros. Identifying these zeros is crucial as they provide important information about the map’s behavior and the domain’s geometry. By develop ing these new equations, we hope to address existing challenges and solve long-standing problems in the field, ultimately advancing mathematical understanding and applications of the Ahlfors map in complex analysis and related disciplines.Item Metric Dimension on Line Graph of Different Chemical Structures(Library Information Services COMSATS University Lahore Campus, 2024-03-17) Zunaira Ijaz; FA22-RMT-028; Prof. Dr. Muhammad Hussain; LHR TP 9387The Metric Dimension of a graph G is the minimum number of basis element in a resolving set. Let G = (V,E) be a connected graph and length of a shortest path between u and v is known as distance, denoted by d(u, v) in G. Let B = b1,b2,...,bk be an ordered set of vertices of G. The representation r(u|B) of u with respect to B is the k tuple (d(u,b1),d(u,b2),d(u,b3),...,d(u,bk), where B is called a resolving set or locating set if every vertex of G is uniquely identified by its distances from the vertices of B or equivalently if distinct vertices of G have distinct representations with respect to B. A resolving set of minimum cardinality is called a basis for G and cardinality is the metric dimension of G is denoted by dim(G). We investigated metric dimension on Line Graph of Polythiophene Network, Backbone Network, Hex-derive Network and Chain Sillicate Networ