Existence of a coupled system of fractional differential equations

Journal Article · Thu Oct 22 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4932410· OSTI ID:22492494

Ibrahim, Rabha W. ^[1]; Siri, Zailan ^[2]

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1. Multimedia unit, Department of Computer System and Technology Faculty of Computer Science & IT, University of Malaya, 50603 Kuala Lumpur (Malaysia)
2. Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur (Malaysia)

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 Riemann-Liouville differential operator.

• OSTI ID: 22492494
• Journal Information: AIP Conference Proceedings, Vol. 1682, Issue 1; Conference: SKSM22: 22. National symposium on mathematical sciences - Strengthening research and collaboration of mathematical sciences in Malaysia, Selangor (Malaysia), 24-26 Nov 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
DIFFERENTIAL EQUATIONS
LIOUVILLE THEOREM
QUANTUM MECHANICS
RIEMANN SPACE
SCHROEDINGER EQUATION