Nonlinear Fractional q-Difference Equation with Fractional Hadamard and Quantum Integral Nonlocal Conditions. (5th October 2020)

• Record Type: Journal Article
• Authors: Wongcharoen, Athasit; Thatsatian, Arisa; Ntouyas, Sotiris K.; Tariboon, Jessada
• Other Names: Araci Serkan Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-10-05
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/9831752
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we establish existence and uniqueness results for a boundary value problem consisting by a nonlinear fractional q -difference equation subject to a new type of boundary condition, combining the fractional Hadamard and quantum integrals. Our analysis is based on Banach's fixed point theorem, a fixed point theorem for nonlinear contractions, Krasnosel'ski i ˘ 's fixed point theorem, and Leray-Schauder nonlinear alternative. Examples are given to illustrate our results.