On the solvability of the Cauchy problem in Gevrey classes for the equation with Weyl fractional derivative

A new representation of fractional-order Weyl derivatives is given. The Cauchy problem is studied for partial differential equations containing Weyl derivatives. The conditions under which this problem has solutions from the Gevrey classes are found.

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Publication Details

Journal
Uzbek Mathematical Journal
Published
2025-06-11
DOI
https://doi.org/10.29229/uzmj.2025-2-1
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
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article

On the solvability of the Cauchy problem in Gevrey classes for the equation with Weyl fractional derivative

Sh. A. Alimov
Uzbek Mathematical Journal
Differential Equations and Boundary Problems
article

On the solvability of the Cauchy problem in Gevrey classes for the equation with Weyl fractional derivative

Sh. A. Alimov
article en

Abstract

A new representation of fractional-order Weyl derivatives is given. The Cauchy problem is studied for partial differential equations containing Weyl derivatives. The conditions under which this problem has solutions from the Gevrey classes are found.

Uzbek Mathematical JournalVol. 69(2)
Openalex Percentile: Top 80%
Differential Equations and Boundary Problems
DOISourceOpenAlex
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