The existence analysis of solutions for initial value problems of nonlinear conformable fractional delayed differential equations

• Main Authors: WANG Sen, JIANG Wei
• Format: Article
• Language: English
• Published: Academic Journals Center of Shanghai Normal University 2021-06-01
• Series: Journal of Shanghai Normal University (Natural Sciences)
• Subjects: existence and uniqueness; fixed point theorems; successive approximations technique; gronwall inequality; conformable fractional calculus
• Online Access: http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20210310
• ISSN: 1000-5137; 1000-5137

In this paper, we establish several existence and uniqueness results of solutions for initial value problems of nonlinear fractional delayed differential equations in the sense of conformable fractional derivative. The different results of existence of solutions are derived based on Banach fixed point theorem, Schauder fixed point theorem, successive approximations technique and the Gronwall inequality in the frame of conformable fractional integral, respectively.