In this thesis, we discuss some fundamental concept of Abstract Algebra like rings and modules. The main concern of this dissertation is with the algebraic and geometric invariants such as depth, Stanley depth and ...

Within this thesis, a comprehensive study is conducted on the behavior of kink-solitons, lumps, and their interaction solutions when subjected to periodic and kink waves of some nonlinear evolution equations. Among these ...

The main objective of this dissertation is to formulate methods for numerically solving specific types of fractional differential equations, which include Caputo fractional order differential equations, tempered fractional ...

This work aims to develop a numerical method based on Newton-Cotes quadrature rule to approximate the solution of fractional differential equations using the Lagrange poly nomial approximations, which is followed by the ...

The concept of dual-mode equations involves nonlinear models that describe the simultaneous motion of bi-directional waves influenced by enclosed phase velocity. The initial two-mode model, introduced by Korsunsky, refined ...

The trajectories of nulllike and timelike geodesics for circular motion in the vicinity of Reissner-Nordström (RN) black hole with Euler-Heisenberg (EH) parameter i.e; μ = 9.46691 × 10−6 are investigated and compared ...

This thesis provides the development of families of Runge Kutta methods up to 4th order for solving non-linear ordinary differential equations. Our motive is to deeply study and compare several third and fourth order ...

The thesis mainly discusses the influence of Arrhenius activation energy and variable thermal conductivity on EMHD flow of bionanofluid over a nonlinearly radiating stretching sheet in a porous medium. Considered partial ...

Diabetic is a chronic human disease. It affects blood glucose in the human body. Imidazole (C3N2H4) is an organic compound. Imidazole has many properties such as antituberculosis, antimicrobial anti-inflammatory, ...