Author(s):
1. H. Merad:
Larbi Tebessi University - Tebessa,Informatics and Systems (LAMIS),Algeria
2. F. Merghadi:
Department of Mathematics and Informatics, Laboratory of Mathematics,Informatics and Systems (LAMIS), Larbi TebessiUniversity - Tebessa,Algeria
3. A. Merad:
Department of Mathematics and Informatics, Laboratory of Dynamical Systems and Control, Larbi Ben M'hidi University of Oum El Bouaghi,,Algeria
Abstract:
In this paper, we present a nonlinear equation modeling a time-fractional pseudoparabolic problem, involving fractional Caputo derivative where the fractional order is 0 < a < 1. We first started with the associated linear problem, we establish the energy inequalities to obtaine a priori estimate,and demonstrate the density of the operator's range generated. Accordingly, the existence and uniqueness of the weak solutions are given, then we use the preceding results to handle the nonlinear case via an iterative process.
Page(s):
168-181
DOI:
DOI not available
Published:
Journal: Journal of Prime Research in Mathematics, Volume: 17, Issue: 2, Year: 2021
Keywords:
integral condition
,
35B45
,
Energy inequality
,
priori estimate
,
2010 MSC
,
fractional evolution equations
,
34A12
References:
References are not available for this document.
Citations
Citations are not available for this document.