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On the New Solutions of the Conformable Time Fractional Generalized Hirota-Satsuma Coupled KdV System

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[1] R. Khalil, M. Al Horani, A. Yousef, and M. Sababheh, A new deffnition of fractional derivative, J. Comput. Appl. Math., 264, (2014)10.1016/j.cam.2014.01.002Search in Google Scholar

[2] S. Momani and R. Qaralleh, Numerical approximations and Padffe approximants for a fractional population growth model, Appl. Math. Model., 31, (2007), 1907.10.1016/j.apm.2006.06.015Search in Google Scholar

[3] D. Baleanu, A. K. Golmankhaneh, R. Nigmatullin, and A. K. Golmankhaneh, Fractional newtonian mechanics, Cent. Eur. J. Phys., 8, (2010), 12010.2478/s11534-009-0085-xSearch in Google Scholar

[4] L. Debnath, Recent applications of fractional calculus to science and engineering, Int. J. Math. Math. Sci., (2003), 341310.1155/S0161171203301486Search in Google Scholar

[5] K.S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley &Sons, New York, 1993Search in Google Scholar

[6] A.Kilbas, H.M. Srivastava, and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, San Diego, 2006Search in Google Scholar

[7] I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999Search in Google Scholar

[8] O.S. Iyiola and E.R. Nwaeze, Some New Results on the New Conformable Fractional Calculus with Application Using D'Alambert Approach, Progress in Fractional Differentiation and Applications, 2, (2016), 115-12110.18576/pfda/020204Search in Google Scholar

[9] Y.Cenesiz and A. Kurt, The new solution of time fractional wave equation with conformable fractional derivative deffnition, J. N. Theo., 7, (2015)Search in Google Scholar

[10] M. Eslami and H. Rezazadeh, The ffrst integral method for Wu-Zhang system with conformable time-fractional derivative, Calcolo, (2015)10.1007/s10092-015-0158-8Search in Google Scholar

[11] H.I. Abu and R. Khalil, Fractional Fourier series with applications, Amer. J. Comput. Appl. Math., 187, (2014)Search in Google Scholar

[12] O.S. Iyiola and G. O. Ojo, On the analytical solution of Fornberg-Whitham equation with the new fractional derivative, Pramana J. of Physics, 85, (2015), 567-57510.1007/s12043-014-0915-2Search in Google Scholar

[13] T. Abdeljawad, On conformable fractional calculus, J. Comput. Appl. Math., 279, (2015), 5710.1016/j.cam.2014.10.016Search in Google Scholar

[14] N. Benkhettoua, S. Hassania, and D.F.M. Torres, A conformable fractional calculus on arbitrary time scales, J. King Saud Univ.-Sci., (2015), (In Press)Search in Google Scholar

[15] M.A. Hammad and R. Khalil, Conformable fractional Heat differential equation, Int. J. of Pure Appl. Math., 94, (2014), 21510.12732/ijpam.v94i2.8Search in Google Scholar

[16] W.S. Chung, Fractional Newton mechanics with conformable fractional derivative, J. Comput. Appl. Math., 290, (2015), 15010.1016/j.cam.2015.04.049Search in Google Scholar

[17] A. Atangana, D. Baleanu, and A. Alsaedi, Analysis of time-fractional Hunter-Saxton equation: a model of neumatic liquid crystal, Open Physics, 13, (2015), 889Search in Google Scholar

[18] A. M.Wazwaz, The tanh method for traveling wave solutions of nonlinear equations, App. Math. Comp., 154, (2004), 71310.1016/S0096-3003(03)00745-8Search in Google Scholar

[19] W. Maliet, The tanh method: a tool for solving certain classes of non-linear PDEs, Mathe- matical methods in the applied sciences, 28.17, (2005), 2031-2035Search in Google Scholar

[20] W. Maliet, The tanh method: a tool for solving certain classes of nonlinear evolution and wave equations, Journal of Computational and Applied Mathematics, 164, (2004), 529-541Search in Google Scholar

[21] S.J. Liao, Beyond Perturbation: Introduction to the Homotopy Analysis Method, Chapman and Hall/CRC Press, Boca Raton, 2003.Search in Google Scholar

eISSN:
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Langue:
Anglais
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Volume Open
Sujets de la revue:
Mathematics, General Mathematics