We first present a brief ideas and principles in "Fluid Mechanics" which may serve as the background materials of viscous, incompressible laminar Newtonian or non-Newtonian fluid flow problems considered in the present ...

Fixed point theory has fascinated hundreds of researchers since 1922 with the celebrated Banach's fixed point theorem. There exists a vast literature on the topic and this is a very active field of research at present. Let ...

Most of the natural happenings can be present by nonlinear modeling. The soliton theory is a highly effective section of nonlinear sciences that includes soliton, multi-soliton, rational, breather line, breather kinky, ...

Almost all perturbation methods are developed to find periodic solutions of nonlinear system where transients are not considered. First Krylov and Bogoliubov introduced a perturbation method which is well known as “asymptotic ...

We investigate the Bekenstein-Hawking entropy from different types of non-rotating black holes in de Sitter and Anti-de Sitter spaces by using the energy quantization mechanism in analogy with Bohr’s atomic model. We ...

Gamma ring was first introduced by N. Nobusawa as a generalization of a classical ring. W. E. Barnes generalized the definition of a gamma ring due to Nobusawa. Presently the gamma ring due to Barnes is known as a gamma ...

The fundamental concept of a fuzzy set and fuzzy set operations was first introduced by L. A. Zadeh (Zadeh, 1965) in 1965 and it provides a natural foundation for treating mathematically the fuzzy phenomena, which exists ...

There are many approaches for approximating solutions of nonlinear vibrating problems. The most common methods for constructing approximate analytical solutions to the nonlinear vibrating problems are the perturbation ...

In this thesis, we have studied the solutions of the various types of third order linear systems of ordinary differential equations. In chapter I, we have considered the third order linear homogeneous system with constant ...

In this thesis we have investigated some aspects of the protoplanetary theory of planetary formation, namely, the structure of a protoplanet, sedimentation of heavy elements in a protoplanet, and the effect of mass loss ...