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 ...

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 ...

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 ...

Boundary layer flows occurring along flat or curved surfaces have been extensively studied in the past, since these are encountered in variety of technical applications. Moreover, fluids treated in many of the engineering ...

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 ...

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, ...

The energy of a graph is given by Pn q=1 j qj, where q0 s are the adjacency eigenvalues of the graph. A graph has real eigenvalues because its adjacency matrix is always symmetric. The energy of a sidigraph is defined ...

In this thesis, we study two types of two-sided matching markets. The prime objective in these markets is to show that there always exists a pairwise stable matching. In these markets, each participant has a preference ...

Convex function, its generalizations and inequalities involving convex functions have many applications in various fields of science. Aim of this dissertation is to study the several generalized convex functions in one ...