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

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

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

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Bibliographic Details
Main Authors: Nazim I. Mahmudov, Areen Al-Khateeb
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Journal of Inequalities and Applications
Subjects:
Fractional differential equations
Mixed boundary value problem
Fixed point theorem
Online Access:http://link.springer.com/article/10.1186/s13660-019-2115-6

Internet

http://link.springer.com/article/10.1186/s13660-019-2115-6

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