UNIQUENESS OF THE SOLUTIONS OF NONLOCAL PLURIPARABOLIC FRACTIONAL PROBLEMS WITH WEIGHTED INTEGRAL BOUNDARY CONDITIONS

DJIBIBE MoussaZakari; SOAMPA Bangan; TCHARIE Kokou

DJIBIBE MoussaZakari Laboratoire d’Analyse, de Modélisation Mathématiques and Applications (LAMMA), Département de Mathématiques Université de Lomé, PB 1515 Lomé, Togo
SOAMPA Bangan Département de Mathématiques, Faculté des Sciences and Techniques Université de Kara, PB 404 Kara,Togo
TCHARIE Kokou Laboratoire d’Analyse, de Modélisation Mathématiques and Applications (LAMMA), Département de Mathématiques Université de Lomé, PB 1515 Lomé, Togo

Article ID: 2545

Keywords: fractional equation; non-boundary conditions; a priori estimates; pluriparabolic equation; non-classical function space; strong solution

Abstract

The aim of this article is to prove the uniqueness of solutions to mixed problems for pluriparabolic equations with nonlocal boundary conditions. The proofs are based on a priori estimates established in non-classical function spaces.

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