Solvability of Mixed Problems for a Fourth-Order Equation with Involution and Fractional Derivative

FRACTAL AND FRACTIONAL(2023)

引用 3|浏览0
暂无评分
摘要
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.
更多
查看译文
关键词
fractional differential operator,differential equation with involution,eigenvalues,eigenfunctions,biorthonormal system,Riesz basis
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要