A priori estimate for resolving the boundary fractional problem

AIMS Mathematics

article

Hacene Mecheri¹  Maryam G. Alshehri² 

[1] Mathematics and Informatics Department, LAMIS, Laboratory Tebessa University;Mathematics Department, Faculty of Science, University of Tabuk

关键词: existence and uniqueness;    solvability;    fractional equation;    integral conditions;    Caputo derivatives;   

DOI  :  10.3934/math.2023037

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

The energy inequality method (or a priori estimation) known in classical cases has been adopted for fractional evolution equations associated with initial conditions and boundary integral conditions. We prove the existence and uniqueness of the solution to the problem described in the following.

【 授权许可】

CC BY