Analytical solution of the linear fractional system of commensurate order
DOI10.1016/j.camwa.2011.10.017zbMath1236.34005OpenAlexW2020436337MaRDI QIDQ2429087
Abdelfatah Charef, Djamel Boucherma
Publication date: 22 April 2012
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.10.017
Cayley-Hamilton theoremrational functionstate space representationfunctions of matricesfractional order differential equation
Integro-ordinary differential equations (45J05) Linear ordinary differential equations and systems (34A30) Realizations from input-output data (93B15) Fractional ordinary differential equations (34A08)
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Cites Work
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- Numerical approaches to fractional calculus and fractional ordinary differential equation
- Solution of fractional integro-differential equations by using fractional differential transform method
- Random-order fractional differential equation models
- Modeling and analog realization of the fundamental linear fractional order differential equation
- On systems of linear fractional differential equations with constant coefficients
- On the fractional Adams method
- Analytic study on linear systems of fractional differential equations
- A new operational matrix for solving fractional-order differential equations
- Fractional-order systems and controls. Fundamentals and applications
- Numerical approach to differential equations of fractional order
- Computational algorithms for computing the fractional derivatives of functions
- An approximate method for numerical solution of fractional differential equations
- Fractals and fractional calculus in continuum mechanics
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Anlogue realizations of fractional-order controllers.
- A general finite element formulation for fractional variational problems
- On the fundamental linear fractional order differential equation
- Solving systems of fractional differential equations using differential transform method
- Analytical solution of the linear fractional differential equation by Adomian decomposition method
- Numerical simulations of fractional systems: An overview of existing methods and improvements
- Advances in Fractional Calculus
- A new analytical approximate method for the solution of fractional differential equations
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