Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 508
Fixed Point theory in the stability of fractional boundary value problems
Anabela Silva, Luís Castro
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 09, 2022
March 03, 2417
April 15, 2417

Abstract: The Banach contraction principle (also known as the Banach fixed point theorem) is a powerful tool in operator theory (cf. [1], [2]). Fractional calculus is considered a powerful tool in describing complex systems with a wide range of applicability in many fields of science and engineering. The behavior of many systems can be described by using fractional differential equations with boundary conditions (cf. [3]). In this talk, based upon Banach contraction principle, we discuss the uniqueness of solution and the stability of a class of fractional boundary value problems involving Caputo ...