Frankl-Type Problem for a Mixed Type Equation Associated Hyper-Bessel Differential Operator

The main target of the present research is the Frankl-type problem for mixed type equation with the Caputo-like counterpart hyper-Bessel fractional derivative. We prove a unique solvability of this problem under certain conditions on given data. For this aim, we use energy integrals (for the uniqueness) and method of integral equations (for the existence).

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