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Abstract <p>An alternative definition of Weyl fractional derivatives is given, and their effect on functions from Gevrey classes is studied. For a partial differential equation with Weyl derivatives, conditions for the solvability of the Cauchy problem in Gevrey classes are found.</p>

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On Solvability in Gevrey Classes for the Cauchy Problem for an Equation with Weyl Fractional Derivative

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • S. A. Alimov

摘要

Abstract

An alternative definition of Weyl fractional derivatives is given, and their effect on functions from Gevrey classes is studied. For a partial differential equation with Weyl derivatives, conditions for the solvability of the Cauchy problem in Gevrey classes are found.