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 u(omega ') -> u(omega) in an appropriate sense as omega '-> omega, where omega is the fractional order. Moreover, to test the continuity fractional-order, we present several numerical examples to illustrate this property.