A new approach for solving multi variable orders differential equations with Mittag–Leffler kernel
By Roghayeh Moallem Ganji, Hossein Jafari, Dumitru Băleanu. 2020
126 citations recorded by the source corpus.
Abstract In this paper we consider multi variable orders differential equations (MVODEs) with non-local and no-singular kernel. The derivative is described in Atangana and Baleanu sense of variable order. We use the fifth-kind Chebyshev polynomials as basic functions to obtain operational matrices. We transfer the original equations to a system of algebraic equations using operational matrices and collocation method. The convergence analysis of the presented method is discussed. Few examples are presented to show the efficiency of the presented method.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/d5157974dafeda7799fac61df2d1c8b22ddba07a
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In Applied Mathematics
- Dumitru Băleanu
- Khosro Sayevand
- Roghayeh Moallem Ganji
- Hossein Jafari
- Thabet Abdeljawad
- Arran Fernandez
- Fahd Jarad
- Q. Al‐Mdallal
In Modeling and Simulation
- Khosro Sayevand
- Dumitru Băleanu
- Roghayeh Moallem Ganji
- Hossein Jafari
- Mehdi Dehghan
- Thabet Abdeljawad
- Arran Fernandez
- Abdon Atangana
In Numerical Analysis
- Khosro Sayevand
- Dumitru Băleanu
- Roghayeh Moallem Ganji
- Hossein Jafari
- Arran Fernandez
- Thabet Abdeljawad
- Mehdi Dehghan
- Abdon Atangana
Citations in the corpus
- A numerical approach for solving fractional optimal control problems with mittag-leffler kernel (2021, methodology): “…Jafari et al., 2019; Sadeghi et al., 2020), partial differential equations (Tajadodi, 2020; Tuan et al., 2020b), integro-differential equations (Ganji et al., 2020b; Jafari et al., 2021; Tuan et al., 2020a), and FOCPs (Heydari et al., 2020; Lotfi et al., 2011; Nemati, 2016) of various orders…”