On the Heat and Wave Equations with the Sturm-Liouville Operator in Quantum Calculus

In this paper, we explore a generalised solution of the Cauchy problems for the q-heat and q-wave equations which are generated by Jackson’s and the q-Sturm-Liouville operators with respect to t and x, respectively. For this, we use a new method, where a crucial tool is used to represent functions i...

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Bibliographic Details
Main Authors: Serikbol Shaimardan, Lars-Erik Persson, Nariman Tokmagambetov
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2023/2488165
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