On the Oscillation of Non-linear Functional Partial Differential Equations

Abstract

In this article, we investigate the oscillatory behavior of nonlinear partial differential equations (1) with the boundary condition (2). By using integral averaging method, we will obtain some new oscillation criteria for given system. The main results are illustrated through suitable example.

On the oscillation of nonlinear delay fractional partial differential equations with damping term

“…Now, we state that x(t) has atleast one zero (a, b). Otherwise adding (18) and (15) would yield an inequality which contradicts the assumptions (8)…”

“…Partial differential equations are used to model a number of real world problems arising in various branches of science and engineering. [12,15,20,22]. Over the years, the development of oscillation theory has played a major role in 2456-8686, vi(ii), 2022:015-028 https://doi.org/10.26524/cm143 the physical science and engineering.…”

Oscillation criteria for fractional impulsive hybrid partial differential equations

“…Even though there is a countable number of papers on oscillatory solutions of fractional partial differential equations, refer [7,16,21,22,24], they have not dealt with the impulse effect. Many authors have investigated some of the areas of applications of fractional differential equations, like viscoelasticity, electrochemistry, signal processing and so on; in the last few decades, there have been several monographs of fractional derivatives and integrals, see [1,4,14,18,26,33] and the references cited therein.…”