Solvability of Mixed Problems for a Fourth-Order Equation with Involution and Fractional Derivative
Kirane M. Sarsenbi A.A.
February 2023MDPI
Fractal and Fractional
2023#7Issue 2
In the present work, two-dimensional mixed problems with the Caputo fractional order differential operator are studied using the Fourier method of separation of variables. The equation contains a linear transformation of involution in the second derivative. The considered problem generalizes some previous problems formulated for some fourth-order parabolic-type equations. The basic properties of the eigenfunctions of the corresponding spectral problems, when they are defined as the products of two systems of eigenfunctions, are studied. The existence and uniqueness of the solution to the formulated problem is proved.
biorthonormal system , differential equation with involution , eigenfunctions , eigenvalues , fractional differential operator , Riesz basis
Text of the article Перейти на текст статьи
Département de Mathématiques, Université de La Rochelle, La Rochelle, 17042, France
Department of Mathematics, M. Auezov South Kazakhstan University, Shymkent, 160000, Kazakhstan
Département de Mathématiques
Department of Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026