We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On time fractional pseudo-parabolic equations with nonlocal integral conditions.
- Authors
Tuan, Nguyen Anh; O'Regan, Donal; Baleanu, Dumitru; Tuan, Nguyen H.
- Abstract
In 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.
- Subjects
INTEGRAL equations; INTEGRAL inequalities; PARTIAL differential equations; FRACTIONAL differential equations
- Publication
Evolution Equations & Control Theory, 2022, Vol 11, Issue 1, p225
- ISSN
2163-2472
- Publication type
Article
- DOI
10.3934/eect.2020109