Numerical approximation to Prabhakar fractional Sturm–Liouville problem

被引：0
|
作者：
Mohammad Hossein Derakhshan
Alireza Ansari
机构：
[1] Shahrekord University,Department of Applied Mathematics, Faculty of Mathematical Sciences
来源：
Computational and Applied Mathematics | 2019年 / 38卷
关键词：
Fractional Sturm–Liouville problem; Numerical solution; Fractional diffusion equation; Prabhakar fractional derivative; 26A33; 65L20; 70K20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we treat a numerical scheme for the regular fractional Sturm–Liouville problem containing the Prabhakar fractional derivatives with the mixed boundary conditions. We show that the eigenfunctions corresponding to distinct numerical eigenvalues are orthogonal in the Hilbert spaces. The numerical errors and convergence rates are also investigated. Further, we consider a space-fractional diffusion equation and study the associated fractional Sturm–Liouville problem along with the convergence analysis.
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