*Correspondence: [email protected] 2Department of Mathematics Education, Seowon University, Cheongju, 28674, South Korea Full list of author information is available at the end of the article Abstract In this paper, we are concerned with the general decay result of the quasi-linear wave equation for Kirchhoff type containing Balakrishnan-Taylor damping with a delay in the boundary feedback and a...

In this work, we are concerned with the terminal value problem for time fractional equation (in sense of Conformable derivative) a nonlocal term Kirchhoff type$ \partial_t^\alpha u = K\Big(\|\nabla u\|_{L^2(\mathcal{D})}\Big)\Delta + f(x,t), \quad (x,t) \in (0,T)\times \mathcal{D} $subject to final data which is blurred by random Gaussian white noise. The principal goal article recover solution...

In this article, we study a system of viscoelastic parabolic type Kirchhoff equation with multiple nonlinearities. We obtain finite time blow up solutions and exponential growth solution negative initial energy.

In this work, we consider the blow up of solutions for viscoelastic wave equation Kirchhoff type with variable exponents. The present result in work improve previous literature.

Abstract A nonlinear viscoelastic Kirchhoff-type equation with Balakrishnan–Taylor damping and distributed delay is studied. By the energy method we establish general decay rate under suitable hypothesis.

‎using nehari manifold methods and mountain pass theorem‎, ‎the existence of nontrivial and radially symmetric solutions for a class of $p$-kirchhoff-type system are established.