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

SOAMPA Bangan; DJIBIBE Moussa Zakari

doi:10.26637/MJM0801/0044

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

Mathematics Subject Classification:

Mathematics

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SOAMPA Bangan Department of Mathematics, University of Lom´ e- Togo.
DJIBIBE Moussa Zakari Department of Mathematics, University of Lom´ e- Togo.

Pages: 258-271
Date Published: 01-01-2020
Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)

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