A new problem of singular fractional differential equations. Issue 2 (2nd July 2016)

• Record Type: Journal Article
• Authors: Taieb, Amele; Dahmani, Zoubir
• Is Part Of: Journal of dynamical systems and geometric theories. Volume 14:Issue 2(2016)
• Page Start: 165
• Page End: 187
• Publication Date: 2016-07-02
• Subjects: 30C45 -- 39B72 -- 39B82; Caputo derivative -- fixed point -- singular fractional differential equation -- existence -- uniqueness -- Ulam-Hyers stability -- generalized Ulam-Hyers stability; Differentiable dynamical systems -- Periodicals; Geometry -- Periodicals; Differentiable dynamical systems; Geometry; Periodicals; 515.39
• DOI: 10.1080/1726037X.2016.1250502
• Languages: English
• ISSNs: 1726-037X

Abstract

Abstract: In this paper, we introduce a new class of nonlinear singular frac­tional differential equations. We axe interested in the singularity by using the contraction mapping principle and Schauder fixed point theorem. We present new results on the existence and uniqueness of solutions. Moreover, we investi­gate the Ulam-Hyers stability and the generalized Ulam-Hyers stability for this fractional equations. Some examples are provided to illustrate the application of our results.