EXISTENCE AND UNIQUENESS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTIPOINT AND MULTI-TERM INTEGRAL BOUNDARY CONDITIONS

被引：0
|
作者：
Djourdem, Habib [1 ]
机构：
[1] Relizane Univ, Fac Sci & Technol, Dept Math, Relizane 48000, Algeria
来源：
JOURNAL OF SCIENCE AND ARTS | 2022年 / 02期
关键词：
Caputo fractional derivative; solution; Banach contraction principle; compact;
D O I：
10.46939/J.Sci.Arts-22.2-a06
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We investigated the existence and uniqueness of solutions to a nonlinear fractional differential equation containing the Caputo operator supplemented with separated multipoint and multi-term integral boundary conditions. The existence results are obtained by utilizing the Banach contraction principle and the well-known fixed point theorem of Krasnoselskii for a sum of contraction and compact mappings in Banach spaces. Some examples are also presented to illustrate the main results.
引用
收藏
页码：319 / 330
页数：12
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