Continuity Result on the Order of a Nonlinear Fractional Pseudo-Parabolic Equation With Caputo Derivative

Hoang, Luc NguyenBaleanu, DumitruVan, Ho Thi KimBinh, Ho Duy2024-03-012025-09-182024-03-012025-09-182021Binh, 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.2.2504-3110https://doi.org/10.3390/fractalfract5020041https://hdl.handle.net/20.500.12416/15071Kim Van, Ho Thi/0000-0001-6330-6064In 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.eninfo:eu-repo/semantics/openAccessCaputo DerivativePseudo-Parabolic EquationWell-PosednessRegularity EstimatesContinuity 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 derivativeArticle10.3390/fractalfract50200412-s2.0-85108380550