ON THE SOLVABILITY OF THE CAUCHY PROBLEM IN GEVREY CLASSES FOR THE WEYL FRACTIONAL DERIVATIVE EQUATION
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.
Authors
- Shavkat Alimov (ORCID: https://orcid.org/0000-0001-5118-1663)
Publication Details
- Journal
- Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.7868/s3034504925030055
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00