Oscillation and nonoscillation for Caputo–Hadamard impulsive fractional differential inclusions

Oscillation and nonoscillation for Caputo–Hadamard impulsive fractional differential inclusions

Abstract In this paper, the concept of upper and lower solutions method combined with the fixed point theorem is used to investigate the existence of oscillatory and nonoscillatory solutions for a class of initial value problem for Caputo–Hadamard impulsive fractional differential inclusions.

Bibliographic Details
Main Authors: Mouffak Benchohra, Samira Hamani, Yong Zhou
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:Advances in Difference Equations
Subjects:
Impulsive fractional differential inclusions
Caputo–Hadamard fractional derivative
Fixed point
Upper and lower solutions
Oscillation
Nonoscillation
Online Access:http://link.springer.com/article/10.1186/s13662-019-2026-3
Description
Summary:Abstract In this paper, the concept of upper and lower solutions method combined with the fixed point theorem is used to investigate the existence of oscillatory and nonoscillatory solutions for a class of initial value problem for Caputo–Hadamard impulsive fractional differential inclusions.
ISSN:1687-1847

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