Shaimardan, Serikbol; Persson, Lars-Erik; Tokmagambetov, Nariman (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-01-19)
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 in the Fourier series expansions in a Hilbert space on quantum calculus. We show
that these solutions ...