Solvability and Volterra property of nonlocal problems for mixed fractional-order diffusion-wave equation
Nauryzbay AdilAbai Kazakh National Pedagogical University, 050010, Almaty, KazakhstanAbdumauvlen BerdyshevAbai Kazakh National Pedagogical University, 050010, Almaty, KazakhstanB. E. EshmatovKarshi Engineering Economic Institute, 180100, Karshi, UzbekistanZharasbek BaishemirovAbai Kazakh National Pedagogical University, 050010, Almaty, Kazakhstan
ABI
Аннотация
Abstract The paper is devoted to the study of one class of problems with nonlocal conditions for a mixed diffusion-wave equation with two independent variables. The main results of the work are the proof of regular and strong solvability, as well as the Volterra property of three problems with conditions pointwise connecting the values of the tangent derivative of the desired solution on one of the characteristics with derivatives in various directions of the solution on an arbitrary curve lying inside the characteristic triangle for a fractional-order diffusion-hyperbolic equation.
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