On the Stability of Time-Fractional Schrödinger Differential Equations

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. © 2017 Taylor & Francis.

Authors
Hicdurmaz B.1 , Ashyralyev A. 2, 3, 4
Journal
Numerical Functional Analysis and Optimization
Publisher
Taylor and Francis Inc.
Number of issue
10
Language
English
Pages
1215-1225
Status
Published
Link
External link
DOI
10.1080/01630563.2017.1316990
Volume
38
Year
2017
Organizations
  • 1 Department of Mathematics, Istanbul Medeniyet University, Istanbul, Turkey
  • 2 Department of Mathematics, Near East University Lefkoşa (Nicosia), Mersin, Turkey
  • 3 Department of Mathematics, Peoples Friendship University Russia, Moscow, Russian Federation
  • 4 Department of Mathematics, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Keywords
Fractional differential equation; Mittag Leffler function; stability; time fractional Schrödinger equation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/5265/
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