Finding new exact and numerical solutions of the Einstein-Maxwell eld equations (EMFEs) is one of the fundamental area of research. The exact solutions which satisfy the physical criteria of compact objects can be ...

In 1982, Stanley suggested the prominent conjecture in which he estimated a combinatorial upper bound for the depth of any finitely generated multigraded module over a polynomial ring. The estimated invariant is now named ...

The main objective of this thesis is to develop numerical methods for solving nonlinear fractional ordinary differential equations, nonlinear fractional partial differential equations, and linear and nonlinear fractional ...

Topological indices, sometimes also recognized as a graph-theoretic invariant, maintain the symmetry of the molecular structures and assign a mathematical language to predict features such as the radius of gyrations, ...

Black holes are one of the most interesting objects of study in physics. Classically, they trap everything including light. They are characterized by an event horizon which encloses a curvature singularity. A study of black ...

A real valued function Ψ on S (S is a set that is convex) is called convex if epigraph of Ψ is a convex set. Alternatively, for any two points x,y ∈ S the line segment µx + (1 − µ)y (µ ∈ [0,1]) joining these two points on ...

Position-dependent effective mass systems are of great significance due to the fact that these models have numerous applications in various areas of physics. The qualitative understanding of a complicated realistic system ...