Numerical solution of fractional Sturm-Liouville equation in integral form
By Tomasz Blaszczyk, Mariusz Ciesielski. Fractional Calculus and Applied Analysis, 2014
51 citations recorded by the source corpus.
In this paper a fractional differential equation of the Euler-Lagrange/Sturm-Liouville type is considered. The fractional equation with derivatives of order α ∈ (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.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/df5ebbf74a15912b3ee1da2f61a5b8f7c595d2cb
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In Applied Mathematics
- Delfim F. M. Torres
- Ricardo Almeida
- Dina Tavares
- Rui A. C. Ferreira
- Agnieszka B. Malinowska
- Fahd Jarad
- E. Capelas de Oliveira
- Loïc Bourdin
In Modeling and Simulation
- Ricardo Almeida
- Delfim F. M. Torres
- Dina Tavares
- Dumitru Băleanu
- Rui A. C. Ferreira
- Loïc Bourdin
- Agnieszka B. Malinowska
- Amin Jajarmi
Citations in the corpus
- The Variable-Order Fractional Calculus of Variations (2018, background): “lution to the problem (Blaszczyk and Ciesielski, 2014; Lotfi and Yousefi, 2013; Pooseh, Almeida and Torres, 2013; Sumelka and Blaszczyk, 2014; Xu and Agrawal, 2014).”