{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,9]],"date-time":"2025-05-09T15:16:52Z","timestamp":1746803812473,"version":"3.40.5"},"reference-count":24,"publisher":"Wiley","license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2016]]},"abstract":"<jats:p>We introduce a new class of boundary value problems for Langevin quantum difference systems. Some new existence and uniqueness results for coupled systems are obtained by using fixed point theorems. The existence and uniqueness of solutions are established by Banach\u2019s contraction mapping principle, while the existence of solutions is derived by using Leray-Schauder\u2019s alternative. The obtained results are well illustrated with the aid of examples.<\/jats:p>","DOI":"10.1155\/2016\/4928314","type":"journal-article","created":{"date-parts":[[2016,6,5]],"date-time":"2016-06-05T17:01:27Z","timestamp":1465146087000},"page":"1-11","source":"Crossref","is-referenced-by-count":0,"title":["Quantum Difference Langevin System with Nonlocal<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>q<\/mml:mi><\/mml:mrow><\/mml:math>-Derivative Conditions"],"prefix":"10.1155","volume":"2016","author":[{"given":"Surang","family":"Sitho","sequence":"first","affiliation":[{"name":"Department of Social and Applied Science, College of Industrial Technology, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand"}]},{"given":"Sorasak","family":"Laoprasittichok","sequence":"additional","affiliation":[{"name":"Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand"}]},{"given":"Sotiris K.","family":"Ntouyas","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece"},{"name":"Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. 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