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Author Country (or Countries)

Uzbekistan

Abstract

The present study investigates existence and uniqueness of solution of local problems for the degenerate parabolic-hyperbolic type equations with loaded terms involving a trace of solution in Atangana-Baleanu operators. Because, the trace of solution (i.e. u(x, 0) ) is in Atangana-Baleanu operators and hyperbolic type equation degenerates on the line y = 0, we use some properties and estimations of hyper-geometric functions on the proofing process of the uniqueness and existence of solution of the investigated problem.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/060203

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