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Some Problems for the Degenerate Mixed Type Equation Involving Caputo and Atangana-Baleanu Operators Fractional Order |
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PP: 101-114 |
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doi:10.18576/pfda/060203
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Author(s) |
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Obidjon Kh. Abdullaev,
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Abstract |
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| 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.
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