Article citationsMore>>

Salari, A. and Ghanbari, B. (2019) Existence and Multiplicity for Some Boundary Value Problems Involving Caputo and Atangana-Baleanu Fractional Derivatives: A Variational Approach. Chaos, Solitons & Fractals, 127, 312-317.
https://doi.org/10.1016/j.chaos.2019.07.022

has been cited by the following article:

• TITLE: Existence and Stability of Solutions for a Class of Fractional Impulsive Differential Equations with Atangana-Baleanu-Caputo Derivative

  AUTHORS: Xuefan Lin, Weimin Hu, Youhui Su, Yongzhen Yun

  KEYWORDS: Fractional Differential Equation, Fixed Point Theorem, Existence of Solutions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.12, December 26, 2023

  ABSTRACT: In this paper, we are concerned with the existence of solutions to a class of Atangana-Baleanu-Caputo impulsive fractional differential equation. The existence and uniqueness of the solution of the fractional differential equation are obtained by Banach and Krasnoselakii fixed point theorems, and sufficient conditions for the existence and uniqueness of the solution are also developed. In addition, the Hyers-Ulam stability of the solution is considered. At last, an example is given to illustrate the main results.