Mixed problem with an pure integral two-space-variables condition for a third order fractional parabolic equation

SOAMPA Bangan 1 * and DJIBIBE Moussa Zakari 2 *

doi:10.26637/MJM0801/0044

Mixed problem with an pure integral two-space-variables condition for a third order fractional parabolic equation

Authors :

SOAMPA Bangan ^{1 *} and DJIBIBE Moussa Zakari ^{2 *}

Author Address :

^1,2 Department of Mathematics, University of Lomé- Togo.

*Corresponding author.

Abstract :

In this paper, we establish sufficient conditions for the existence and uniqueness of a solution, in a functional weighted Sobolev space, for Caputo fractional differential equations with integral conditions. The proof uses a functional analysis method presented, which it based on energy inequality and the density of the range of operator generated by the problem.

Keywords :

Fractional differential equations, fractional Caputo derivative, Energy inequality, density of operator, the rang of operator.

DOI :

10.26637/MJM0801/0044

Article Info :

Received : April 21, 2019; Accepted : June 12, 2019.