Bernstein operational matrix of fractional derivatives and its applications
By Abbas Saadatmandi. 2014
118 citations recorded by the source corpus.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/981cafe4ce81d276f9d9394f175d04419922fe2b
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Ali H. Bhrawy
- M. A. Zaky
- J. Machado
- Taha M. Taha
- Chokkalingam Ravichandran
- R. Subashini
- Haci Mehmet Baskonus
- K. Jothimani
In Modeling and Simulation
- M. A. Zaky
- Ali H. Bhrawy
- J. Machado
- Taha M. Taha
- Chokkalingam Ravichandran
- Dumitru Băleanu
- R. Subashini
- Haci Mehmet Baskonus
In Numerical Analysis
- M. A. Zaky
- Ali H. Bhrawy
- J. Machado
- Taha M. Taha
- R. Subashini
- Chokkalingam Ravichandran
- Haci Mehmet Baskonus
- K. Jothimani
Citations in the corpus
- A review of operational matrices and spectral techniques for fractional calculus (2015, background): “A function f (x), square integrable in [0, 1], may be expressed in terms of the Bernstein basis [95].”
- Existence results of Hilfer integro-differential equations with fractional order (2020, background): “[12], Miller and Ross [14], Podulbny [16], Zhou [32, 33, 34], Trujillo[10], the papers [1, 2, 4, 5, 6, 7, 8, 9, 13, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 34] and the references with in.”
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations (2015, background): “Operational matrices are used in several areas of numerical analysis and they hold particular importance for solving different kinds of problems in various subjects such as differential equations [47,48], integral equations [49], integro-differential equations [50,51], ordinary and partial fractiona”