Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions

Mahmudov , Nazim; Al-Khateeb, Areen

doi:10.1186/s13660-019-2115-6

Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions

Mahmudov N., Al-Khateeb A.

Journal of Inequalities and Applications, vol.2019, 2019 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 2019
Publication Date: 2019
Doi Number: 10.1186/s13660-019-2115-6
Journal Name: Journal of Inequalities and Applications
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Keywords: Fixed point theorem, Fractional differential equations, Mixed boundary value problem
Open Archive Collection: Article
Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

We study the existence and uniqueness of solutions for coupled sequential fractional differential equations involving Caputo fractional derivative of order 1 < α≤ 2 with integral boundary conditions. Moreover, we discuss Ulam–Hyers stability for the problem at hand.