论文标题
用于恢复非本地边界基准的多项时间分数抛物线方程的源项的时间分量的逆问题
Inverse problem for recovery of temporal component of source term for multi-term time fractional parabolic equation with nonlocal boundary datum
论文作者
论文摘要
研究了涉及二维空间中多项分数抛物线方程的逆问题，涉及时间涉及M + 1 Caputo分数衍生物。非局部边界条件的存在导致非自我配合光谱问题。双向函数系统用于构建涉及双重无限序列的解决方案。多项式Mittag-Leffler函数和本征函数的特性用于证明在给定数据上的某些规律性条件下解决方案的经典性质。
Inverse problem for multi-term fractional parabolic equation in two dimensional space, involving m + 1 Caputo fractional derivatives in time, is investigated. Presence of nonlocal boundary conditions leads to a non-self-adjoint spectral problem. A bi-orthogonal system of functions is used to construct the solution that involves double infinite series. Properties of multinomial Mittag-Leffler function and eigenfunctions are used to prove the classical nature of the solution under certain regularity conditions on the given datum.
