Sign in
Back
Existence of solution for 2-D time-fractional differential equations with a boundary integral condition
Journal article   Open access  Peer reviewed

Existence of solution for 2-D time-fractional differential equations with a boundary integral condition

Lotfi Kasmi, Amara Guerfi and Said Mesloub
Advances in difference equations, Vol.2019(1), pp.1-12
01/12/2019
DOI: https://doi.org/10.1186/s13662-019-2444-2

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this article, we prove the existence and uniqueness of a solution for 2-dimensional time-fractional differential equations with classical and integral boundary conditions. We start by writing this problem in the operator form and we choose suitable spaces and norms. Then we establish prior estimates from which we deduce the uniqueness of the strong solution. For the existence of solution for the fractional problem, we prove that the range of the operator generated by the considered problem is dense.
url
https://doi.org/10.1186/s13662-019-2444-2View
Published (Version of record) Open

Metrics

1 Record Views

Details