A dominating set D in a graph G = (V;E) is a subset of vertices such that every vertex
not in D is adjacent to at least one vertex in D. The minimum cardinality of such a set
is called the dominating number of G. A Roman ...
This work investigates heat transfer in two–phase flow of Newtonian fluid (water) and
power-law non-Newtonian fluid (polycarbonate) in a T-shaped cylindrical geometry.
The problem is simulated using Computational Fluid ...
Many harmful and dangerous incidents have occurred throughout human history, restricting people’s way of life and killing millions of people worldwide. It is helpful for analyzing
a variety of natural disasters using ...
The use of graph theory to many fields of study has increased significantly, especially in
the field of chemical graph theory. Many scholars have been able to explore a range of new
directions in the last few years. A ...
Let G⋆ = (V,E) and H = (V⋆,E⋆) be simple, finite, planar, connected and undirected
graphs, where every edge of G⋆ belongs to at least one subgraph of G⋆ isomorphic to
H. A fuzzy labeling graph G = (κ,τ) on G⋆ is defined ...
In order to understand nonlinear partial differential equations (NLPDEs), physicists and
mathematicians need to study exact solutions. Many NLPDEs such as Korteweg de Vries
equation (KdV), Sin-Gordon equation, nonlinear ...
In chemical graph theory, a topological index is a numeric value extracted from the graphical model of the molecule that provides insight into the structural, physical, bio-active,
and chemical properties of the corresponding ...
Two-phase flow implies to the simultaneous movement of two separate phases, such
as gases-liquids, liquids-solids, or gases-solids depending on their applications in
energy, oil and gas, and chemical processing. This ...
In this thesis the mid-point fractional integral inequalities and multiplicative trapezoidal
inequalities are thoroughly examined. We construct new lemmas and provide their precise estimations for differentiable and twice ...
The growing number of diseases and disorders worldwide further supports the need for
prompt and precise diagnosis and classification. Understanding how disease diagnosis can
be enhanced through the use of reliable ...
This thesis explores the stability analysis of Friedmann-like spacetimes using dynamical
system methods. For this purpose, we begin by considering a modified cosmological scenario based on Tsallis entropy corrections. ...
In this study, a mathematical framework is applied to examine how awareness-based
preventive strategies affect the patterns measles spread. Qualitative theory is used to
investigate the occurrence of equilibrium points ...
The aim of the thesis is to investigate the algebraic properties of fuzzy graphs with particular focus placed on three main topics which are the square of a graph, minimal free
resolutions of modules, and fuzzy edge ideals. ...
General relativity (GR) is the generalization of Special Relativity and Newtonian gravity that
provides a description of gravity in spacetime curvature. According to Einstein, the curvature in
spacetime creates gravity, ...
In this thesis, we investigate the thermodynamic properties of the Bardeen-Kiselev black
hole solution with a cosmological constant, focusing on stability, phase transitions, and
the compressibility factor using generalized ...
The extraction of solitons that emerge in nonlinear dynamics is examined in this thesis, with
particular attention to two significant models: the Perturbed Chen-Lee-Liu and the BiswasMilovic models. These models, which ...
The main objective of this study is Fourth-order iterative techniques to solve nonlinear equations.
In numerous scientific and engineering problems, the nonlinear equations are indispensable and
their solution are based ...
The utilization of graph theory has expanded considerably across various disciplines, with
notable advancements in chemical graph theory. In recent years, researchers have explored
numerous innovative avenues within this ...
New findings pertaining to Bullen’s type and Bullen-Mercer’s type inequalities are examined in this thesis. It refines a number of previous findings and offers generalizations of the
Bullen-Mercer’s type inequalities. ...