UNIQUENESS OF THE SOLUTION FOR A PARABOLIC-HYPERBOLIC EQUATION WITH FRACTIONAL ORDER CAPUTO OPERATOR IN TWO-DIMENSIONAL DOMAIN ON A BOUNDARY-VALUE PROBLEM
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Abstract
In this paper we study a new problem for a parabolic-hyperbolic
equation with fractional order Caputo operator in two-dimensional domain. There are many works devoted to study problems for the second order mixed parabolichyperbolic and elliptic-hyperbolic type equations in rectangular domains with two gluing conditions with respect to second argument and with boundary value conditions on all borders of the domain
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References
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