Asymptotics Solutions of a Singularly Perturbed Integro-differential Fractional Order Derivative Equation with Rapidly Oscillating Coefficients
Akylbayev M. Kalimbetov B. Zhaidakbayeva D.
2023DergiPark
Advances in the Theory of Nonlinear Analysis and its Applications
2023#7Issue 2441 - 454 pp.
In this paper, the regularization method of S.A. Lomov is generalized to singularly perturbed integro-differential fractional order derivative equation with rapidly oscillating coefficients. The main purpose of the study is to reveal the influence of the integral term and rapidly oscillating coefficients on the asymptotic of the solution of the original problem. To study the influence of rapidly oscillating coefficients on the leading term of the asymptotic of solutions, we consider a simple case, i.e. the case of no resonance (when an entire linear combination of frequencies of a rapidly oscillating cosine does not coincide with the frequency of the spectrum of the limit operator.
fractional order derivation , integro-diffierential equation , iterative problems , rapidly oscillating coefficients , Singularly perturbed
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Department of Mathematics, A.Kuatbekov Peoples Friendship University, Shymkent, Kazakhstan
Department of Mathematics, M.Auezov South Kazakhstan University, A.Kuatbekov Peoples Friendship University, Shymkent, Kazakhstan
Department of Mathematics, M.Auezov South Kazakhstan University, Shymkent, Kazakhstan
Department of Mathematics
Department of Mathematics
Department of Mathematics
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