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

Shavkat AlimovMirzo Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan
Doklady Mathematicsjournal2025en
ABI

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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.

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