This book presents topical research in the study of evolution equations. Topics discussed include understanding the theory of noisy dynamical systems in Markovian and non-Markovian settings using evolution equations; Einstein’s evolution equation for fluid with exponential free paths distribution; a theorem on the optical cubic-quintic Schrodinger equation; methods for solving non-linear partial differential equations based on Riccati equations; homogeneous and non-linear generalised master equations and the cosmological linear and non-linear growth in the accelerating Universe.