PhD: Recent submissions

  • Boundary Value Problems for Fractional Differential Equations: Existence Theory and Numerical Solutions 
    ur Rehman, Mujeeb (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2011-01-01)
    Fractional calculus can be considered as supper set of conventional calculus in the sense that it extends the concepts of integer order differentiation and integration to an arbitrary (real or complex) order. This ...
  • Some Advancements in Metric Fixed Point Theory 
    Usman Ali, Muhammad (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2016-12-23)
    Banach contraction principle is one of the most famous results in the literature of xed point theory and has provided the basis for metric xed point theory. This result provides us a systematic way to nd xed point of ...
  • Solvability of Systems of Differential Equations by Complex Symmetry Analysis 
    Safdar, Muhammad (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2013-01-01)
    Complex symmetry analysis (CSA) establishes a connection between a class of n and 2n, dimensional complex and real systems of ordinary/partial differential equations (ODEs/PDEs), respectively. Similarly, another class of ...
  • Mathematical Analysis of Vector-Host Diseases Models 
    Ozair, Muhammad (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2015-01-01)
    The emphasis of this dissertation lies on the theoretical study of different models of vector borne diseases in order to get better understanding of the transmission and spread of these diseases. The patterns of infection ...
  • BLACK HOLES IN AN ACCELERATING UNIVERSE 
    JAMIL, MUBASHER (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2010-01-01)
    In this thesis, I have considered the scenario of the accretion of phantom energy onto various types of black holes. The phantom energy is a strange kind of energy existing in the universe that drives the cosmic accelerated ...
  • Energy of digraphs and signed digraphs 
    Khan, Mehtab (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2017-10-06)
    The eigenvalues of a graph are the roots of characteristic polynomial of its adjacency matrix. For an n-vertex graph G, the energy of graph is defined as E(G) = n P i=1|λi|, where |λi| is the absolute value of the eigenvalue ...
  • Mathematical aspects of some graph invariants 
    Ali Malik, Mehar (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2019-02-12)
    A graph invariant is a numerical quantity that remains unchanged under graph isomorphism. Topological indices are graph invariants that represent certain topological features of a graph. For example, connectivity, planarity, ...
  • Fixed point theorems for Banach-G type contractions 
    Samreen, Maria (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan tt, 2014-01-01)
  • USE OF APPROXIMATE SYMMETRY METHODS TO DEFINE ENERGY OF GRAVITATIONAL WAVES 
    HUSSAIN, IBRAR (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2009-01-01)
    In this thesis approximate Lie symmetry methods for differential equations are used to investigate the problem of energy in general relativity and in particular in gravitational waves. For this purpose second-order ...
  • Linearization of higher order ordinary differential equations 
    Munir Dutt, Hina (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2016-01-01)
    Lie’s method for converting a scalar second order ordinary differential equation (ODE) to linear ODE by point transformations was already extended to third and fourth order scalar ODEs by point and contact transformations ...
  • Resolvability in Wheel Related Graphs and Nanostructures 
    Muhammad Afzal Siddiqui, Hafiz (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2015-01-01)
    Resolvability in graphs has appeared in numerous applications of graph theory, e.g. in pattern recognition, image processing, robot navigation in networks, computer sciences, combinatorial optimization, mastermind games, ...
  • On Means and Inequalities for C0-Semigroup of Operators 
    Hina Aslam, Gul (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2016-01-01)
    Thestronglycontinuoussemigroupsofoperatorsareofgreatsignificanceduetothefactthat these have numerous applications in various areas of science. The qualitative understanding ofacomplicateddeterministicsystemcanbeacquiredby ...
  • Numerical Simulation of Fluid Flow and Heat Transfer Analysis Through Annular Sector Duct 
    Ahmed, Farhan (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2018-03-12)
    Present work is aimed at designing, implementing and validating computational procedure for the fluid flow and heat transfer analysis through the annular sector duct. This work will provide the complete heat transfer analysis ...
  • The Noether Symmetries of the Lagrangians of Spacetimes 
    Ali, Farhad (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2019-01-01)
    In this thesis Noether symmetries are used for the classification of plane symmetric, cylin drically symmetric and spherically symmetric static spacetimes. We consider general met rics for these spacetimes and use their ...
  • Noether Symmetries, Corresponding Conservation Laws and Applications 
    Jamil, Bismah (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2019-05-03)
    This thesis is based on a geometrical/physical analysis of the conserved quantities/forms related to each Noether symmetry of the geodetic Lagrangian of plane symmetric and spherically symmetric spacetimes. We present a ...
  • Some Exact Solutions of the Einstein–Maxwell Field Equations in Spherical Geometry 
    Mahmood, Ayesha (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2019-08-02)
    In this thesis, the aim is to present some new classes of non–static and static, spherically symmetric solutions of the Einstein–Maxwell field equations representing compact objects with negative pressure. Throughoutthist ...
  • Some representations of the extended Fermi-Dirac and Bose-Einstein functions with applications 
    Tassaddiq, Asifa (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2012-01-01)
    The familiar Fermi-Dirac (FD) and Bose-Einstein (BE) functions are of importance not only for their role in Quantum Statistics, but also for their several interesting mathematical properties in themselves. Here, in my ...
  • Approximate Solution of System of Nonlinear Partial Differential Equations and New Transformations 
    Tanveer, Arooj (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2019-08-30)
    In this dissertation, a systematic approach is used to find an approximate solution of a system of nonlinear PDEs. The system of nonlinear PDEs is reduced into a system of ODEs by using similarity transformations, which are ...
  • m-Convex Functions on Time Scale 
    Batool, Aniqa (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2019-08-28)
    Convex functions play a key role in different field of mathematics such as in the theory of inequalities. m-convex function is the generalization of convex function. The calculus and applications of dynamic derivatives defined ...
  • The Noether Symmetries and Invariants of Some Partial Differential Equations 
    Aslam, Adnan (School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan, 2014-01-01)
    A connection is obtained between isometries and Noether symmetries for the area-minimizing Lagrangian. It is shown that the Lie algebra of Noether symmetries for the Lagrangian minimizing an (n−1)-area enclosing a constant ...

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