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On the solvability of nonlinear goursat problems

open access: yesCommunications in Partial Differential Equations, 1981
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TOEPLITZ OPERATORS IN THE ANALYTIC GOURSAT PROBLEM

open access: yesTOEPLITZ OPERATORS IN THE ANALYTIC GOURSAT PROBLEM
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The Goursat’s problem for generalized (fractional) hyperbolic-type equation

UZBEK MATHEMATICAL JOURNAL
We start by defining a novel bivariate Mittag-Leffler function represented by an infinite double series. Several key properties of this function are established, including differentiation formulas and an upper bound estimate. Subsequently, we consider Goursat’s problem for a fractional generalization of a hyperbolic-type equation.
Turdiev, Kh. N., Usmonov, D. A.
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