On the existence for a class of periodic boundary value problems of nonlinear fractional hybrid differential equations. (November 2021)

• Record Type: Journal Article
• Authors: Zhao, Yige
• Is Part Of: Applied mathematics letters. Volume 121(2021)
• Publication Date: 2021-11
• Subjects: Existence -- Periodic boundary value problem -- Fractional hybrid differential equation; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2021.107368
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: This article will study the existence result for periodic boundary value problems of nonlinear fractional hybrid differential equations C D 0 + γ [ η ( θ ) − x ( θ, η ( θ ) ) ] = y ( θ, η ( θ ) ), 0 < θ < 1, η ( 0 ) = η ( 1 ) = 0, where 0 < γ < 1, C D 0 + γ is the Caputo derivative. By the Krasnoselskii's fixed point theorem, the existence result for periodic boundary value problems of nonlinear fractional hybrid differential equations is obtained. An example is given to verify the existence theorem. The main results given in this article correct and revise the statement in Li et al. (2019).