Continuity result on the order of a nonlinear fractional pseudo-parabolic equation with caputo derivative

Abstract

In this paper, we consider a problem of continuity fractional-order for pseudo-parabolic equations with the fractional derivative of Caputo. Here, we investigate the stability of the problem with respect to derivative parameters and initial data. We also show that uω ′ → uω in an appropriate sense as ω′ → ω, where ω is the fractional order. Moreover, to test the continuity fractional-order, we present several numerical examples to illustrate this property.