Influence of rapidly oscillating inhomogeneities in the formation of additional boundary layers for singularly perturbed integro-differential systems
Akylbayev M. Kalimbetov B. Pardaeva N.
7 November 2023DergiPark
Advances in the Theory of Nonlinear Analysis and its Applications
2023#7Issue 31 - 13 pp.
In this paper, the Lomov’s regularization method is generalized to a singularly perturbed integro-differential equation with a fractional derivative and with a rapidly oscillating inhomogeneity. The main goal of the work is to reveal the influence of a rapidly changing kernel on the structure of the asymptotic of the problem solution and to study additional boundary functions that are generated by rapidly oscillating inhomogeneities.
Fractional order derivation , Integro-differential equation , Rapidly oscillating inhomogeneity , Singularly perturbed , Solvability of iterative problems
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Department of Mathematics, A.Kuatbekov Peoples’ Friendship University, Shymkent, Kazakhstan
Department of Mathematics, M. Auezov South Kazakhstan University, Shymkent, Kazakhstan
Department of Mathematics, Almalyk branch of the NRTU MISA, Almalyk, Uzbekistan
Department of Mathematics
Department of Mathematics
Department of Mathematics
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