Quantum difference Langevin equation with multi-quantum numbers q-derivative nonlocal conditions
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Authors
Surang Sitho
- Department of Social and Applied Science, College of Industrial Technology, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand.
Sorasak Laoprasittichok
- Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand.
Sotiris K. Ntouyas
- Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece.
- Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
Jessada Tariboon
- Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand.
Abstract
In the present paper, we study a new class of boundary value problems for Langevin quantum difference
equations with multi-quantum numbers q-derivative nonlocal conditions. Some new existence and uniqueness
results are obtained by using standard fixed point theorems. The existence and uniqueness of solutions is
established by Banach's contraction mapping principle, while the existence of solutions is derived by using
Krasnoselskii's fixed point theorem and Leray-Schauder's nonlinear alternative. Examples illustrating the
results are also presented.
Share and Cite
ISRP Style
Surang Sitho, Sorasak Laoprasittichok, Sotiris K. Ntouyas, Jessada Tariboon, Quantum difference Langevin equation with multi-quantum numbers q-derivative nonlocal conditions, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 3491--3503
AMA Style
Sitho Surang, Laoprasittichok Sorasak, Ntouyas Sotiris K., Tariboon Jessada, Quantum difference Langevin equation with multi-quantum numbers q-derivative nonlocal conditions. J. Nonlinear Sci. Appl. (2016); 9(6):3491--3503
Chicago/Turabian Style
Sitho, Surang, Laoprasittichok, Sorasak, Ntouyas, Sotiris K., Tariboon, Jessada. "Quantum difference Langevin equation with multi-quantum numbers q-derivative nonlocal conditions." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 3491--3503
Keywords
- q-calculus
- nonlocal conditions
- Langevin equation
- existence
- fixed point.
MSC
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