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Fractional-Diffraction-Optics Cauchy Problem: Resolvent-Function Solution of the Matrix Integral Equation

The fractional diffraction optics theory has been elaborated using the Green function technique. The optics-fractional equation describing the diffraction X-ray scattering by imperfect crystals has been derived as the fractional matrix integral Fredholm--
Chukhovskii, Felix N., Mamchuev, Murat O.   +1 more
core  

Inverse problem for determining the order of fractional derivative in mixed-type equations

In this paper the inverse problem of determining the fractional orders in mixed-type equations is considered. In one part of the domain the considered equation is the subdiffusion equation with a fractional derivative in the sense of Gerasimov-Caputo of ...
Ashurov, R. R., Zunnunov, R. T.
core  

Математическая модель дробного осциллятора Ван дер Поля-Эйри

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
В работе предложена математическая модель нелинейного осциллятора Ван дер Поля-Эйри с учетом наследственности. Нелинейность осциллятора обусловлена наличием зависимости коэффициента трения от квадрата функции смещения, что характерно для осциллятора Ван ...
Салимова, А.И., Паровик, Р.И.   +1 more
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Математическая дробная модель Зимана для описания сердечных сокращений

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
В статье предлагается принципиально новое обобщение ранее известной математической модели Зимана сердечных сокращений за счет электрохимического воздействия.
Исрайилжанова, Г.C., Каримов, Ш.Т., Паровик, Р.И.   +2 more
doaj   +1 more source

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Nonlocal Solvability of Quasilinear Degenerate Equations with Gerasimov–Caputo Derivatives

Lobachevskii Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fedorov, V. E., Zakharova, T. A.
openaire   +3 more sources

The Cauchy Problem for a Class of Multi-Term Equations with Gerasimov–Caputo Derivatives

Lobachevskii Journal of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boyko, K. V., Fedorov, V. E.
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Quasilinear Equations with a Sectorial Set of Operators at Gerasimov–Caputo Derivatives

Proceedings of the Steklov Institute of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fedorov, V. E., Boyko, K. V.
openaire   +3 more sources