On the Stability of Time-Fractional Schrödinger Differential Equations. (3rd October 2017)

• Record Type: Journal Article
• Authors: Hicdurmaz, B.; Ashyralyev, A.
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 10(2017)
• Page Start: 1215
• Page End: 1225
• Publication Date: 2017-10-03
• Subjects: Fractional differential equation -- Mittag Leffler function -- stability -- time fractional Schrödinger equation; 26A33 -- 34A08 -- 35R11; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1316990
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In the present paper, the exact solution for time-fractional Schrödinger differential equation in a Hilbert space is presented. The stability estimates for the solution of a time-fractional Schrödinger differential equation and its derivatives are obtained. In addition, applications of the stability theorems are given.