Nonlinear Evolution Equations (NLEEs) are a type of mathematical equation, commonly a partial differential equation (PDE), that describe the evolution of physical phenomena with nonlinear behaviours across time. These ...

In this thesis, we have used the classical Pennes, Single-phase-lag (SPL) and Dualphase- lag (DPL) bio-heat transfer models to explore the temperature distribution at the tumor position in multi-layered skin tissues such ...

Polystyrene is a broadly employed plastic because of its resistance to degradation, thereby posing a significant environmental threat by its accumulation in landfills, oceans and other natural habitats. Cold Plasma ...

Arsenic, one of nature's most prevalent environmental toxins, was found to be exceedingly abundant in the Earth's mantle during this thesis. Arsenic can manifest in various oxidation states (-3, 0, +3, and +5), with ...

In this thesis, we present some refinements of the majorization theorems by using Fink's identity. Further, we use Green's function of order two together with Fink's identity and present a refinement of the majorization-type ...

This research proposal aims to study if second-kind Fredholm Integral Equations can possibly be solved using the Nystrom Method, which are common in many different fields and which require for the development of effective ...

Nonlinear partial differential equations (NLPDEs) are significant because they are applied in almost every field of study, including biology, chemistry, physics, fiber optics, mechan- ics, atmospheric, and electronics ...

In this thesis we have presented various concepts related to linear Diophantine fuzzy graphic structures (LDFGS's) in terms of weighted mean product (WMP) such as linear Diophantine weighted mean fuzzy graph structures ...

Distance based Topological Indices based on Line Graph of Different Chemical and Non-Chemical Graphs

This thesis presents mathematical models that accurately depict the dynamics of both COVID-19 and influenza epidemics. The COVID-19 model incorporates the Caputo fractional derivative, resulting in a system characterized ...