Fixed Point Theory and the Liouville–Caputo Integro-Differential FBVP with Multiple Nonlinear Terms. (24th February 2022)

• Record Type: Journal Article
• Authors: Rezapour, Shahram; Boulfoul, Ali; Tellab, Brahim; Samei, Mohammad Esmael; Etemad, Sina; George, Reny
• Other Names: Meskhi Alexander Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-02-24
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/6713533
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This work is reserved for the study of a special category of boundary value problems (BVP s) consisting of Liouville–Caputo integro-differential equations with multiple nonlinear terms. This fractional model and its boundary value conditions (BVCs) involve different simple BVP s, in which the second BVC as a linear combination of two Caputo derivatives of the unknown function equals a nonzero constant. The Banach principle gives a unique solution for this Liouville–Caputo BVP . Further, the Krasnoselskii and Leray–Schauder criteria give the existence property regarding solutions of the mentioned problem. For each theorem, we provide an example based on the required hypotheses and derive numerical data in the framework of tables and figures to show the consistency of results from different points of view.