Article

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

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.

Topics

Differential Equations and Boundary Problems Mathematical Analysis and Transform Methods Fractional Differential Equations Solutions

Identifiers

DOI: 10.1134/s1064562425700127

Citations and references

Cited by 05 references

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