Karapınar, ErdalBinh, Ho DuyLuc, Nguyen HoangCan, Nguyen Huu2022-10-112022-10-112021Karapınar, Erdal...et al. (2021). "On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems", Advances in Difference Equations, Vol. 2021, No. 1.1687-1839http://hdl.handle.net/20.500.12416/5818In this work, we study an initial value problem for a system of nonlinear parabolic pseudo equations with Caputo fractional derivative. Here, we discuss the continuity which is related to a fractional order derivative. To overcome some of the difficulties of this problem, we need to evaluate the relevant quantities of the Mittag-Leffler function by constants independent of the derivative order. Moreover, we present an example to illustrate the theory.eninfo:eu-repo/semantics/openAccessCaputo DerivativeInitial Value ProblemNonlinear Fractional Pseudo-Parabolic Equation SystemsRegularityArticle2021110.1186/s13662-021-03232-z