Inverse Source Problem for Dunkl Heat Equation With bi-ordinal Hilfer Fractional Derivative


Bekbolat B. Karimov E. Tokmagambetov N.
January 2026Birkhauser

Complex Analysis and Operator Theory
2026#20Issue 1

In this paper, we are interested in considering the inverse source problem for the one-dimensional heat equation with the bi-ordinal Hilfer fractional derivative with respect to the time variable and the Dunkl operator with respect to the space variable. The direct problem is also considered to help solve the inverse source problem.

Bi-ordinal Hilfer fractional derivative , Dunk operator , Heat equation , Inverse source problem

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SDU University, 1/1 Abylai Khan str., Kaskelen, 040900, Kazakhstan
Ghent University, 297/S8 Krijgslaan str., Gent, 9000, Belgium
Institute of Mathematics and Mathematical Modeling, 28 Shevchenko str., Almaty, 050010, Kazakhstan

SDU University
Ghent University
Institute of Mathematics and Mathematical Modeling

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