On Continuity of the Fractional Derivative of the Time-Fractional Semilinear Pseudo-Parabolic Systems

Ho Duy BinhNguyen Hoang LucNguyen Huu CanKarapinar, Erdal02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2022-10-112025-09-182022-10-112025-09-182021Karapınar, 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. 1.1687-1847https://doi.org/10.1186/s13662-021-03232-zhttps://hdl.handle.net/123456789/12715In 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/openAccessInitial Value ProblemCaputo DerivativeNonlinear Fractional Pseudo-Parabolic Equation SystemsRegularity35K5535K7035K9247A5247J06On Continuity of the Fractional Derivative of the Time-Fractional Semilinear Pseudo-Parabolic SystemsOn continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systemsArticle10.1186/s13662-021-03232-z2-s2.0-85099746310