On the oscillation of certain class of conformable Emden-Fowler type elliptic partial differential equations

Abstract

<abstract><p>This article examines the oscillatory behaviour of solutions to a particular class of conformable elliptic partial differential equations of the Emden-Fowler type. Using the Riccati method, we create some new necessary conditions for the oscillation of all solutions. The previously discovered conclusions for the integer order equations are expanded upon by these additional findings. We provide an example to demonstrate the usefulness of our new finding.</p></abstract>

Analyzing existence, uniqueness, and stability of neutral fractional Volterra-Fredholm integro-differential equations

“…This study might offer valuable perspectives on stability aspects within such models, especially in regimes where attraction dynamics dominate. [4,5,28,29,33,[35][36][37]41] provided remarks on oscillation of second-order neutral differential equations. While not directly related to PDEs, their insights into oscillatory behavior could inform discussions on system dynamics and stability in certain differential equation models.…”

Existence and oscillation results for the Hybrid generalized pantograph Hilfer fractional difference equation

“…But only in the last few decades, these notions have been utilized in several disciplines such as engineering, science, economics, and so on [11,40]. The qualitative characteristics, such as oscillation, stability, controllability, asymptotic behavior, and so on, are of great interest to scientists and researchers [4,5,10,14,17,23,24,[33][34][35][36][37]42]. The understanding of fractional differential equations has come a long way.…”