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1. New power law inequalities for fractional derivative and stability analysis of fractional order systems

作者： Hao Dai ; Weisheng Chen

关键词：Fractional calculus ; Fractional order system ; Lyapunov direct method ; Stability

刊名：Nonlinear Dynamics

出版年：2017

2. On Perturbed Fractional Differential Inclusions with Nonlocal Multi-point Erdélyi–Kober Fractional Integral Boundary Conditions

作者： Bashir Ahmad ; Sotiris K. Ntouyas

关键词：Riemann–Liouville fractional derivative ; Erdélyi–Kober fractional integral ; fractional differential inclusions ; existence ; fixed point

刊名：Mediterranean Journal of Mathematics

出版年：2017

3. A new analytical approach to solve some of the fractional-order partial differential equations

作者： Jalil Manafian ; Mehrdad Lakestani

关键词：Generalized tanh–coth method ; Fractional biological population model ; Fractional Burgers ; Fractional Cahn–Hilliard ; Fractional Whitham–Broer–Kaup ; Fractional Fokas

刊名：Indian Journal of Physics

出版年：2017

4. A New Type of Fractional Lie Symmetrical Method and its Applications

作者： Xiao–Tian Zhang ; Jin–Man He ; Shao–Kai Luo

关键词：Fractional Lie symmetry ; Conserved quantity ; Fractional generalized Hamiltonian system ; Fractional Duffing oscillator model ; Fractional Lotka biochemical oscillator model

刊名：International Journal of Theoretical Physics

出版年：2017

5. Variational integrators for fractional Birkhoffian systems

作者： Lin He ; Huibin Wu ; Fengxiang Mei

关键词：Variational integrators ; Riemann–Liouville fractional derivative ; Fractional Pfaff–Birkhoff–d’Alembert principle ; Discrete fractional Birkhoff equations

刊名：Nonlinear Dynamics

出版年：2017

6. Efficacy and safety of fractional CO₂ laser versus fractional Er:YAG laser in the treatment of facial skin wrinkles

作者： Reza M. Robati ; Elmira Asadi

关键词：CO2 laser ; Erbium ; YAG laser ; Fractional laser ; Laser resurfacing ; Skin aging ; Skin wrinkles

刊名：Lasers in Medical Science

出版年：2017

7. On a semilinear mixed fractional heat equation driven by fractional Brownian sheet

作者： Dengfeng Xia ; Litan Yan

关键词：stochastic partial differential equations ; fractional Brownian sheet ; Hölder regularity ; density of the law ; Malliavin calculusp ; variation

刊名：Boundary Value Problems

出版年：2017

8. A Galerkin Finite Element Method for a Class of Time–Space Fractional Differential Equation with Nonsmooth Data

作者： Zhengang Zhao ; Yunying Zheng ; Peng Guo

关键词：Time–space fractional differential equation ; Riesz fractional derivative ; Crank–Nicolson scheme ; Product trapezoidal method ; Fractional Ritz–Volterra projection ; Galerkin finite element method

刊名：Journal of Scientific Computing

出版年：2017

9. Damped vibration of a nonlocal nanobeam resting on viscoelastic foundation: fractional derivative model with two retardation times and fractional parameters

作者： Milan Cajić ; Danilo Karličić ; Mihailo Lazarević

关键词：Nonlocal elasticity ; Fractional derivatives ; Viscoelasticity ; Nanobeams ; Nanocomposites

刊名：Meccanica

出版年：2017

10. Design of fractional robust adaptive intelligent controller for uncertain fractional-order chaotic systems based on active control technique

作者： Nooshin Bigdeli ; Hossein Alinia Ziazi

关键词：Adaptive control ; Chaos ; Fractional ; order chaotic system ; Sliding mode control ; Intelligent control

刊名：Nonlinear Dynamics

出版年：2017

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