Fractional sequential mechanics — models with symmetric fractional derivative
By Malgorzata Klimek. 2001
254 citations recorded by the source corpus.
Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/bc36138923475cad52a30864fae19969581556a8
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mechanics of Materials
- Mehdi Dehghan
- Thabet Abdeljawad
- Fahd Jarad
- Ehsan-Allah Hamedi
- Rami Ahmad El-Nabulsi
- Hassan Khosravian-Arab
- Dumitru Băleanu
- Delfim F. M. Torres
In Modeling and Simulation
- Dumitru Băleanu
- Delfim F. M. Torres
- Thabet Abdeljawad
- Fahd Jarad
- Mehdi Dehghan
- Ehsan-Allah Hamedi
- Hassan Khosravian-Arab
- Ozlem Defterli
In Numerical Analysis
- Dumitru Băleanu
- Delfim F. M. Torres
- Thabet Abdeljawad
- Fahd Jarad
- Mehdi Dehghan
- Ehsan-Allah Hamedi
- Hassan Khosravian-Arab
- Mohsen Razzaghi
Citations in the corpus
- A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems (2007, background): “Klimek (2001) presented a fractional sequential mechanics model with symmetric fractional derivatives.”
- Generalized Euler—Lagrange Equations and Transversality Conditions for FVPs in terms of the Caputo Derivative (2007, background): “Klimek (2001)presented a fractional sequential mechanics model with symmetric fractional derivatives.”
- Numerical solution of fractional Sturm-Liouville equation in integral form (2014, unknown): “Next Klimek [15] and Agrawal [1] noticed that such equations can be investigated in the sequential approach.”
- Fractional actionlike variational problems (2008, methodology): “Different methods were used to obtain the fractional Euler-Lagrange equations and the corresponding Hamiltonian canonical equations [1, 3, 4, 5, 6, 14, 22, 23, 28, 29, 33].”