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math.AP2023
Some estimates for Mittag-Leffler function in quantum calculus and applications
Michael Ruzhansky, Serikbol Shaimardan, Niyaz Tokmagambetov
The study of the Mittag-Leffler function and its various generalizations has become a very popular topic in mathematics and its applications. In the present paper we prove the foll…
math.AP2023
Well-posedness of heat and wave equations generated by Rubin's q-difference operator in Sobolev spaces
Serikbol Shaimardan, Lars-Erik Persson, Niyaz Tokmagambetov
In this paper, we investigate difference-differential operators of parabolic and hyperbolic types. Namely, we consider non-homogenous heat and wave equations for Rubin's difference…