Controlling the wave movement on the surface of shallow water with the Caputo–Fabrizio derivative with fractional order
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[1] D. Korteweg,et al. XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves , 1895 .
[2] H. Kober. ON FRACTIONAL INTEGRALS AND DERIVATIVES , 1940 .
[3] N. Zabusky,et al. Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States , 1965 .
[4] M. Caputo. Linear Models of Dissipation whose Q is almost Frequency Independent-II , 1967 .
[5] C. S. Gardner,et al. Korteweg‐de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion , 1968 .
[6] D. Peregrine. Equations for Water Waves and the Approximation behind Them , 1972 .
[7] J. Kirby. On the gradual reflection of weakly nonlinear Stokes waves in regions with varying topography , 1986, Journal of Fluid Mechanics.
[8] P. A. Madsen,et al. Wave transformation in the nearshore zone: A review , 1993 .
[9] D. Benson,et al. Application of a fractional advection‐dispersion equation , 2000 .
[10] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[11] G. Teschl,et al. Long-Time Asymptotics for the Korteweg–de Vries Equation via Nonlinear Steepest Descent , 2008, 0807.5041.
[12] Sverre Holm,et al. On a fractional Zener elastic wave equation , 2012 .
[13] A. Atangana,et al. The Use of Fractional Order Derivative to Predict the Groundwater Flow , 2013 .
[14] Haci Mehmet Baskonus,et al. Active Control of a Chaotic Fractional Order Economic System , 2015, Entropy.
[15] Hasan Bulut,et al. On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method , 2015 .
[16] S. Arabia,et al. Properties of a New Fractional Derivative without Singular Kernel , 2015 .
[17] M. Caputo,et al. A new Definition of Fractional Derivative without Singular Kernel , 2015 .
[18] D. Brzezinski. Accuracy Problems of Numerical Calculation of Fractional Order Derivatives and Integrals Applying the Riemann-Liouville/Caputo Formulas , 2016 .
[19] Dengqing Cao,et al. Boundary value problems for fractional differential equation with causal operators , 2016 .