Mathematics: Recent submissions

  • Applications of Discrete Symmetry Groups of Differential Equations 
    Bibi, Khudija (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2022-05-23)
    This thesis is based on applications of the discrete point symmetry transformations of ordinary and partial di erential equations. First we provide a complete list of discrete symmetry transformations of third order ...
  • Geodesics and Shadows of Rotating Black Holes 
    Haroon, Sumarna (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2022-02-03)
    We first investigate the consequences of running gravitational coupling on certain properties of rotating black hole. We are motivated by the functional form of gravitational coupling previously investigated in the context ...
  • Axisymmetric Rotating Flow over a Permeable Surface with Heat and Mass Transfer Effects 
    Faraz, Muhammad (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2022-02-24)
    In this thesis, rotational flow over a permeable surface with a variable free stream angular velocity is considered in this thesis. Main interest is to solve the associated heat/mass transport equations under different ...
  • Massive Sterile Neutrinos For Dark Matter Halos 
    Yasmin, Aqsa (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2022-01-05)
    This study pertains to an investigative analysis of the Ruffini-Arg uelles-Rueda (RAR) model of a self-gravitating gas of about 48 to 345 keV degenerate fermions that form a fully degenerate core, with and without ...
  • Heat Transfer Analysis of MHD Nano uids in a Rotating Channel with Heat Source and Radiation 
    Sarwar, So fia (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2022-01-19)
    In this thesis work, e ect of heat transfer on single and multiple walled carbon nan- otubes between two rotating plates, in the presence of transverse applied magnetic eld, linear thermal radiation and the constant ...
  • Hermite-Hadamard inequality for Hadamard-type fractional integral with respect to a function 
    Batool, Abroo (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-09-06)
    In this work, we present a new Hermite-Hadamard inequality which is associated with Hadamard-type integral with respect to another function. This fractional integral is the generalization of fractional integral with ...
  • Distinguishing Kerr-Like Black Holes From Naked Singularities Using Precession Frequency of Gyroscope 
    Rizwan, Muhammad (2021-12-07)
    Recent astronomical observations predict the accelerating expansion of the universe, which could be due to a cosmological constant or quintessence field. Some other observations suggest the existence of dark matter in ...
  • Generalization of Mean-Nonexpansive Semigroup and Fundamentally Nonexpansive Mapping 
    Ahmed, Noman (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-12-12)
    The theory of fixed point is one of the most incredible asset of present day Mathematical Analysis. Theorem concerning the presence and properties of fixed point are known as fixed point theorems. Fixed point theory is ...
  • Upper and lower bounds of some graph operations w.r.t. Sombor index 
    Arshad Butt, Humna (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-12-14)
    A topological index or a connectivity index is a mathematical measure, which is a numerical value that correspond to the chemical structure of a nite graph. Topological indices are isomorphism invariant and is also ...
  • Intersections of Lamb Mode Dispersion Curves for an Isotropic Plate 
    Madiha Kausar Jabeen (SNS, National University of Science and Technology, Islamabad., 2017)
    In this thesis we discuss the points of intersection of the symmetric and antisym metric Lamb mode dispersion curves of an isotropic plate. The Rayleigh-Lamb frequency relation for dispersion curves is derived for a plate ...
  • Fixed Points of Contractions 
    Saaqib Mahmood (SNS, National University of Science and Technology, Islamabad., 2012)
    An overview of fixed point theory is given, followed by a survey of topological and metric fixed point theorems; then some fixed point results involving for contractions in compact metric spaces are proved, which are ...
  • Approximate Solution of System of Non-linear Partial Differential Equations 
    Sabeeqa Batool (SNS, National University of Science and Technology, Islamabad., 2017)
    This thesis is aimed to obtain approximate closed-form solution of non-linear partial differential equations representing the boundary layer flow on to a flat stretching surface in the rotating fluid. The study of flow ...
  • Wave Propagation in Initially-stressed Compressible Hyperelastic Materials 
    Ejaz, Kanwal (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-10-12)
    Study of elastic waves in solids has been an interesting area of research due to its enormous applications in fields as diverse as bio-mathematics, materials, earth sciences, to name a few. In linear elasticity, materials ...
  • Existence of Weak Solutions to Fractional Differential Equations 
    Khaliq, Adnan (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-09-06)
    Fractional calculus generalizes the integer order integration and differentiation concepts to an arbitrary (real or complex) order. The main reason of this treatise is to generalize some classes of differential equations ...
  • Comparison of Constant and Variable Fluid Properties with Variable Heat Flux over a Sheet for Maxwell Fluid 
    Tarar, Javaria Aafaq (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-10-12)
    A comparison of constant and variable fluid properties with variable heat flux over a sheet for Maxwell fluidois done in the presence of thermal radiation, magnetic parameter, and thermaloconductivity. The governing ...
  • Local Pre-Hausdorffness and D-connectedness in Quantale Valued Closure Spaces 
    Malik, Naveed Ahmad (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-10-18)
    In this thesis, we look at the topological Category of QV-closure space, and explicitly examine the local Pre-T2 objects in this category. Moreover we characterize local Hausdorff objects in L-cls by using local Pre-T2 ...
  • Variable Sum Exdeg Energy of Graphs 
    Saher, Amina (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-10-07)
    In mathematical chemistry, a topological index of a graph is a molecular descriptor which is obtained for a chemical compound from its molecular graph. This graph invariant is a numerical parameter used to characterize the ...
  • Generalized Mellin Transform 
    Aziz, M Talha (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-11-09)
    Many generalization of fractional operator have been introduced. In this thesis we study one of these generalization called -fractional operator. We introduce the generalized Mellin transform called -Mellin transform ...
  • Depth and Stanley Depth of Edge Ideals Associated with Quotient of Tadpole Graph and it’s Square Graph 
    Majid, Durr-e-sameen (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-09-27)
    This dissertation aims to find a geometric invariant as well as the algebraic invariant of the graphs. The desire is to obtain required invariants such as depth and Stanley depth by using edge ideals as module over a ...
  • Numerical Simulation of Steady/Unsteady MHD Flow over a Non-linear Stretching/Shrinking Sheet with Variable Liquid Characteristics 
    Irfan, Muhammad (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2021-09-15)
    This dissertation is divided into two parts. The first part describes the work on magnetohydrodynamics boundary layer flow past a non-linear stretching surface in the presence of variable fluid characteristics. The second ...

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