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Extension of the Tricomi problem for a loaded parabolic–hyperbolic equation with a characteristic line of change of type

Umida BaltaevaDepartment of Applied Mathematics Urgench State University Urgench UzbekistanPraveen AgarwalPeoples Friendship University of Russia (RUDN University) Moscow Russian FederationShaher MomaniNonlinear Dynamics Research Center (NDRC) Ajman University Ajman UAE

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In this work, we investigate a generalization of the Tricomi problem for a loaded mixed‐type equation with the Riemann–Liouville fractional differential operator. By using the method of integral equations, a unique solvability of the formulated problem given in piecewise non‐parallel characteristics is proven.

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