【摘 要】
：
We introduce two classes of regular and singular tempered fractional Sturm-Liouville problems(TFSLPs).We prove the well-posedness of the TFSLPs and show tha
论文部分内容阅读
We introduce two classes of regular and singular tempered fractional Sturm-Liouville problems(TFSLPs).We prove the well-posedness of the TFSLPs and show that the corresponding eigensolutions are real-valued.We also demonstrate that the explicitly obtained eigenfunctions of TFSLPs,called Tempered Jacobi Poly-fractonomials,possess several key properties such as orthogonality,recurrence formula,etc.
其他文献
The modeling of continuum dissipative evolution equations remains a challenge and is currently based on phenomenological constitutive relations such as Four
The formation and assembly patterns of quantum dots have a significant impact on the optoelectronic properties of semiconductors.We will discuss shapes of q
A linear iteration algorithm is proposed and implemented for the convex splitting numerical scheme applied to epitaxial thin film growth model with slope se
A second order accurate finite difference scheme is presented for the 2-D and 3-D Cahn-Hilliard equation,and an error analysis with an improved convergence
In this talk,we will present some preliminary results on the wellposedness of boundary value problems related to fractional differential equations,and effic
Wetting is a common phenomenon in nature and industrial applications.The classic Wenzel's and Cassie's equations are used to characterize apparent contact a
In this paper,a class of two-dimensional space and time fractional Bloch-Torry equations(2D-STFBTEs)are considered.By finite difference method and Galerkin
In this talk,I will describe the example of finite time singularity of the simplified nematic liquid crystal flows in dimension three.This is a joint work w
In this paper,we consider the non-isothermal model for incompressible flow of nematic liquid crystals in three dimensions and prove the local existence and
For the PDEs with Riesz derivatives,we construct spectral methods using special basis functions based on generalized Jacobi functions which lead to diagonal