O'Regan, DonalBaleanu, DumitruTuan, Nguyen H.Nguyen Anh Tuan02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2022-11-302025-09-182022-11-302025-09-182022Tuan, Nguyen Anh...et al. (2022). "ON TIME FRACTIONAL PSEUDO-PARABOLIC EQUATIONS WITH NONLOCAL INTEGRAL CONDITIONS", Evolution Equations and Control Theory, Vol. 11, no. 1, pp. 225-238.2163-2480https://doi.org/10.3934/eect.2020109https://hdl.handle.net/123456789/11531Nguyen, Anh Tuan/0000-0002-8757-9742In this paper, we study the nonlocal problem for pseudo-parabolic equation with time and space fractional derivatives. The time derivative is of Caputo type and of order sigma, 0 < sigma < 1 and the space fractional derivative is of order alpha, beta > 0. In the first part, we obtain some results of the existence and uniqueness of our problem with suitably chosen alpha, beta. The technique uses a Sobolev embedding and is based on constructing a Mittag-Leffler operator. In the second part, we give the ill-posedness of our problem and give a regularized solution. An error estimate in L-p between the regularized solution and the sought solution is obtained.eninfo:eu-repo/semantics/openAccessFractional Partial Differential EquationCaputo FractionalWell-PosednessPseudo-Parabolic EquationNonlocal ConditionsNonlocal In TimeArticle10.3934/eect.20201092-s2.0-85111581433