Existence of a coupled system of fractional differential equations
Abstract
We manage the existence and uniqueness of a fractional coupled system containing Schrödinger equations. Such a system appears in quantum mechanics. We confirm that the fractional system under consideration admits a global solution in appropriate functional spaces. The solution is shown to be unique. The method is based on analytic technique of the fixed point theory. The fractional differential operator is considered from the virtue of the RiemannLiouville differential operator.
 Authors:

 Multimedia unit, Department of Computer System and Technology Faculty of Computer Science & IT, University of Malaya, 50603 Kuala Lumpur (Malaysia)
 Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur (Malaysia)
 Publication Date:
 OSTI Identifier:
 22492494
 Resource Type:
 Journal Article
 Journal Name:
 AIP Conference Proceedings
 Additional Journal Information:
 Journal Volume: 1682; Journal Issue: 1; Conference: SKSM22: 22. National symposium on mathematical sciences  Strengthening research and collaboration of mathematical sciences in Malaysia, Selangor (Malaysia), 2426 Nov 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094243X
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; DIFFERENTIAL EQUATIONS; LIOUVILLE THEOREM; QUANTUM MECHANICS; RIEMANN SPACE; SCHROEDINGER EQUATION
Citation Formats
Ibrahim, Rabha W., and Siri, Zailan. Existence of a coupled system of fractional differential equations. United States: N. p., 2015.
Web. doi:10.1063/1.4932410.
Ibrahim, Rabha W., & Siri, Zailan. Existence of a coupled system of fractional differential equations. United States. doi:10.1063/1.4932410.
Ibrahim, Rabha W., and Siri, Zailan. Thu .
"Existence of a coupled system of fractional differential equations". United States. doi:10.1063/1.4932410.
@article{osti_22492494,
title = {Existence of a coupled system of fractional differential equations},
author = {Ibrahim, Rabha W. and Siri, Zailan},
abstractNote = {We manage the existence and uniqueness of a fractional coupled system containing Schrödinger equations. Such a system appears in quantum mechanics. We confirm that the fractional system under consideration admits a global solution in appropriate functional spaces. The solution is shown to be unique. The method is based on analytic technique of the fixed point theory. The fractional differential operator is considered from the virtue of the RiemannLiouville differential operator.},
doi = {10.1063/1.4932410},
journal = {AIP Conference Proceedings},
issn = {0094243X},
number = 1,
volume = 1682,
place = {United States},
year = {2015},
month = {10}
}
DOI: 10.1063/1.4932410
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.