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ON THE SOLVABILITY OF THE CAUCHY PROBLEM IN GEVREY CLASSES FOR THE WEYL FRACTIONAL DERIVATIVE EQUATION
- Authors: Alimov S.A.1,2
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Affiliations:
- National University of Uzbekistan named after Mirzo Ulugbek
- V. I. Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan
- Issue: Vol 523, No 1 (2025)
- Pages: 27-30
- Section: MATHEMATICS
- URL: https://journals.rcsi.science/2686-9543/article/view/305341
- DOI: https://doi.org/10.31857/S2686954325030055
- EDN: https://elibrary.ru/JSKIDW
- ID: 305341
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Abstract
An alternative definition of fractional-order Weyl derivatives is given and their effect on functions from the Gevrey classes is studied. Conditions for the solvability of the Cauchy problem in Gevrey classes are found for the Weyl partial differential equation.
About the authors
S. A. Alimov
National University of Uzbekistan named after Mirzo Ulugbek; V. I. Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan
Email: sh_alimov@mail.ru
Tashkent, Uzbekistan
References
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