On the solution of a fractional diffusion integrodifferential equation with Rothe time discretization. (26th April 2018)

• Record Type: Journal Article
• Authors: Chaoui, Abderrazek; Hallaci, Ahmed
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 6(2018)
• Page Start: 643
• Page End: 654
• Publication Date: 2018-04-26
• Subjects: Discrete problem -- fractional integrodifferential diffusion equations -- weak solution; 34A12 -- 26A33 -- 45K05 -- 65N60; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1424200
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: This article deals with a fractional diffusion equation of the second-order differential Volterra operator and fractional integral condition. Existence and uniqueness of a weak solution in an appropriate sense as well as some regularity results are obtained by the use of Rothe's method. Finally, an example is given to demonstrate the effectiveness of the proposed approach.