Boundary value problems and integro-differential equations lie at the heart of modern applied mathematics, providing robust frameworks to model phenomena across physics, engineering and beyond. These ...

Abstract In this paper we prove the variation of parameters formula for linear Volterra integro-differential equations driven by multifractional Brownian motion. To do this, an approximation result ...

The initial boundary value problem for an integro-differential equation with strong damping in a bounded domain is considered. The existence, asymptotic behavior and blow-up of solutions are discussed ...