Interval oscillation criteria for impulsive conformable partial differential equations

Abstract

In this paper, we present some sufficient conditions for the oscillation of all solutions of forced impulsive delay conformable partial differential equations. We consider two factors, namely impulse and delay that jointly affect the interval qualitative properties of the solutions of those equations. The results obtained in this paper extend and generalize some of the known results for forced impulsive conformable partial differential equations. An example illustrating the results is also given.

On the Oscillation of Conformable Impulsive Vector Partial Differential Equations

“…Therefore, combining (7) and (8) we immediately obtain (3), which shows that u H (x, t) satisfies the scalar impulsive conformable partial differential inequality (3). (ii) The proof is similar to case (i) and thus, it is omitted.…”

“…Several authors worked on the oscillatory behaviour of impulsive partial differential equations with delays [11,14,21,23,28]. For the essential background on the oscillation theory of differential equations, we refer the reader to the monographs [17,32,33] and the references cited therein [3,5,9,22].…”

Stability for conformable impulsive differential equations

“…Impulsive differential equations have been applied to many problems; see [5,6,12,29,30]. In particular, [3,8,19] consider impulsive differential equations with a conformable derivative of the form where D a β is called the conformable derivative with low index a, the function g :…”

Forced oscillation of conformable fractional partial delay differential equations with impulses

“…The study of the qualitative behavior of partial differential equations has rapidly expanded in the last few decades, see for example [11,14,15,24,25,26,29,30,32] and the references they are cited. In particular, the problem of interval oscillation criteria for integer and fractional order impulsive differential equations have been investigated by few authors, we refer the reader to [3,4,19,28,31] and the references cited therein.…”