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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 AgarwalApplied Non‐Liner Science Lab, Department of Mathematics Anand International College of Engineering Jaipur IndiaShaher MomaniDepartment of Mathematics The University of Jordan Amman Jordan
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Аннотация

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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