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Frankl-Type Problem for a Mixed Type Equation with the Caputo Fractional Derivative

Erkinjon KarimovV. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
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In this work, we investigate Frankl-type problem with integral conjugating condition for a mixed type equation consisting of sub-diffusion and wave equations. A uniqueness and the existence of formulated problem have been proved using energy integrals and the method of integral equations, imposing certain conditions on given data.

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