Upper and lower solutions method for higher order fractional initial value problems. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Guezane-Lakoud, Assia; Khaldi, Rabah
• Is Part Of: Journal of dynamical systems and geometric theories. Volume 15:Issue 1(2017)
• Page Start: 29
• Page End: 35
• Publication Date: 2017-01-02
• Subjects: 34B15 -- 34A08 -- 26A33 -- 34A12; Initial value problem -- Fractional derivative -- Upper and lower solutions method -- Existence of solution; Differentiable dynamical systems -- Periodicals; Geometry -- Periodicals; Differentiable dynamical systems; Geometry; Periodicals; 515.39
• DOI: 10.1080/1726037X.2017.1327162
• Languages: English
• ISSNs: 1726-037X

Abstract

ABSTRACT: This paper concerns the existence of solution to an initial fractional problem of arbitrary order. The main tools for this study are the lower ad upper solutions method and Schauder's fixed point Theorem.