EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR FRACTIONAL RELAXATION INTEGRO-DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS

Facta Universitatis. Series Mathematics and Informatics

article

Adel Lachouri¹  Abdelouaheb Ardjouni²  Ahcene Djoudi¹ 

[1] Faculty of Sciences, Department of Mathematics University of Annaba;Faculty of Sciences and Technology, Department of Mathematics and Informatics University of Souk-Ahras

关键词: Fractional relaxation integro-dierential equations;    Riemann-Liouville fractional derivative;    Liouville-Caputo fractional derivative;    Existence;    Uniqueness;    Fixed point.;   

DOI  :  10.22190/FUMI210502016L

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

The aim of this paper is to study the existence and uniqueness of solutions for nonlinear fractional relaxation integro-differential equations with boundary conditions. Some results about the existence and uniqueness of solutions are established by using the Banach contraction mapping principle and the Schauder fixed point theorem. An example is provided which illustrates the theoretical results.

【 授权许可】

Unknown