Quantum difference Langevin equation with multi-quantum numbers q-derivative nonlocal conditions | Zendy

Surang Sitho | Zendy; Sorasak Laoprasittichok | Zendy; Sotiris K. Ntouyas | Zendy; Jessada Tariboon | Zendy

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Quantum difference Langevin equation with multi-quantum numbers q-derivative nonlocal conditions

Author(s) -

Surang Sitho,

Sorasak Laoprasittichok,

Sotiris K. Ntouyas,

Jessada Tariboon

Publication year - 2016

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.009.06.04

Subject(s) - mathematics , quantum , derivative (finance) , langevin equation , mathematical physics , quantum mechanics , physics , financial economics , economics

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. c ©2016 All rights reserved.

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