Qualitative Analysis of Implicit Dirichlet Boundary Value Problem for Caputo-Fabrizio Fractional Differential Equations. (23rd November 2020)

• Record Type: Journal Article
• Authors: Gul, Rozi; Sarwar, Muhammad; Shah, Kamal; Abdeljawad, Thabet; Jarad, Fahd
• Other Names: Petrusel Adrian Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-11-23
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/4714032
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This article studies a class of implicit fractional differential equations involving a Caputo-Fabrizio fractional derivative under Dirichlet boundary conditions (DBCs). Using classical fixed-point theory techniques due to Banch's and Krasnoselskii, a qualitative analysis of the concerned problem for the existence of solutions is established. Furthermore, some results about the stability of the Ulam type are also studied for the proposed problem. Some pertinent examples are given to justify the results.