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

Baleanu, DumitruBinh, Ho DuyHoang, Luc NguyenBaleanu, DumitruVan, Ho Thi Kim2024-03-012024-03-012021Binh, Ho Duy;...et.al. (2021). "Continuity result on the order of a nonlinear fractional pseudo-parabolic equation with caputo derivative", Fractal and Fractional, Vol.5, No.2.25043110https://hdl.handle.net/20.500.12416/7424In 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.eninfo:eu-repo/semantics/openAccessCaputo DerivativePseudo-Parabolic EquationRegularity EstimatesWell-PosednessContinuity result on the order of a nonlinear fractional pseudo-parabolic equation with caputo derivativeContinuity Result on the Order of a Nonlinear Fractional Pseudo-Parabolic Equation With Caputo DerivativeArticle5210.3390/fractalfract5020041