Solvability of Mixed Problems for a Fourth-Order Equation with Involution and Fractional Derivative
نویسندگان
چکیده
In the present work, two-dimensional mixed problems with Caputo fractional order differential operator are studied using Fourier method of separation variables. The equation contains a linear transformation involution in second derivative. considered problem generalizes some previous formulated for fourth-order parabolic-type equations. basic properties eigenfunctions corresponding spectral problems, when they defined as products two systems eigenfunctions, studied. existence and uniqueness solution to is proved.
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ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2023
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract7020131