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Cauchy problem for a parabolic–hyperbolic equation with non‐characteristic line of type changing

Praveen AgarwalApplied Nonlinear Science Lab Anand International College of Engineering Jaipur IndiaUmida BaltaevaKhorezm Mamun Academy Khiva UzbekistanNafosat VaisovaDepartment of Exact Sciences Khorezm Mamun Academy Khiva Uzbekistan

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In this work, we present the advanced fractional model described with the loaded parabolic–hyperbolic‐type equation. Also, for this equation, we investigate a Cauchy‐type problem with a line of changing type. The existence and uniqueness of the solutions to the problem are proven using the theory of integral equations.

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