On a Nonlocal Boundary Value Problem for a Degenerate Parabolic-Hyperbolic Equation with Fractional Derivative
N. K. OchilovaTashkent Finansial Institute, 100000, Tashkent, UzbekistanT. K. YuldashevNational University of Uzbekistan named after M. Ulugbek, Uzbek-Israel Joint Faculty of High Technology and Engineering Mathematics, 100174, Tashkent, Uzbekistan
ABI
Аннотация
The goal of this work is to study the existence and uniqueness of the solution to a nonlocal boundary value problem for a degenerate differential equation of mixed type. A parabolic-hyperbolic equation with a fractional Gerasimov–Caputo derivative is considered. The uniqueness of the solution is proved by the integral energy method using the some properties of hypergeometric functions and integro-differential operators of fractional order. The existence of the solution is proved by the method of integral equations.
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