Unexpected behavior of Caputo fractional derivative
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Publication:2403099
DOI10.1007/s40314-015-0301-9zbMath1371.26008OpenAlexW2253351617MaRDI QIDQ2403099
Najla Varalta, Lucas Kenjy Bazaglia Kuroda, Paulo Fernando De Arruda Mancera, Arianne Vellasco-Gomes, Robinson Tavoni, Rubens de Figueiredo Camargo
Publication date: 15 September 2017
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11449/175076
fractional calculusCaputo fractional derivativefractional harmonic oscillatorfractional logistic equationfractional modeling
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Cites Work
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- What is a fractional derivative?
- On the generalized Mittag-Leffler function and its application in a fractional telegraph equation
- Dynamical behaviors of fractional-order Lotka-Volterra predator-prey model and its discretization
- Exact solution of impulse response to a class of fractional oscillators and its stability
- Recent history of fractional calculus
- Fractional order calculus: basic concepts and engineering applications
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Recent applications of fractional calculus to science and engineering
- On Mittag-Leffler-type functions in fractional evolution processes
- A review of definitions for fractional derivatives and integral
- Dynamical behavior of fractional-order Hastings-powell food chain model and its discretization
- A new definition of fractional derivative
- On the fractional-order logistic equation
- Advanced methods in the fractional calculus of variations
- Algorithms for the fractional calculus: a selection of numerical methods
- Solution of the fractional Langevin equation and the Mittag–Leffler functions
- Differentiation to fractional orders and the fractional telegraph equation
- On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator
- On some fractional Green’s functions
- Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
- Fractional differentiability of nowhere differentiable functions and dimensions
- Advances in Fractional Calculus
