Numerical solution of fractional Sturm-Liouville equation in integral form

作者：Blaszczyk Tomasz^*; Ciesielski Mariusz

来源：Fractional Calculus and Applied Analysis, 2014, 17(2): 307-320.

DOI：10.2478/s13540-014-0170-8

• fractional Euler-Lagrange equation
• fractional Sturm-Liouville equation
• fractional integral equation
• numerical solution

In this paper a fractional differential equation of the Euler-Lagrange/Sturm-Liouville type is considered. The fractional equation with derivatives of order alpha a (0, 1] in the finite time interval is transformed to the integral form. Next the numerical scheme is presented. In the final part of this paper examples of numerical solutions of this equation are shown. The convergence of the proposed method on the basis of numerical results is also discussed.

• 出版日期2014-6