Investigation of Fractional Partial Differential Equations in the College Course Mathematical Physics Equations
Abstract
We introduce a new approach for solving fractional partial differential equations, where the fractional derivative is defined in the sense of the conformable fractional derivative. As for applications of this approach, we apply it to seek exact solutions for the space-time fractional BBM equation successfully .
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References
s, Commun. Theor. Phys. 65 (2016) 39-45.
[2] B. Agheli, R. Darzi and A. Dabbaghian, Computing exact solutions for conformable time fractional
generalized seventh-order KdV equation by using (G’/G)-expansion method, Opt. Quant. Electron.
49:387 (2017) 1-13.
[3] Q. Feng, Jacobi Elliptic Function Solutions For Fractional Partial Differential Equations, IAENG
International Journal of Applied Mathematics, 46(1)(2016), 121-129.
[4] S. Zhang and H.Q. Zhang, Fractional sub-equation method and its applications to nonlinear fractional
PDEs, Phys. Lett. A, 375(2011), 1069-1073.
[5] E. M. E. Zayed, The (G’/G)-expansion method and its applications to some nonlinear evolution
equations in the mathematical physics, J. Appl. Math. Computing, 30(2009), 89-103.
[6] Q. Feng and F. Meng, Explicit solutions for space-time fractional partial differential equations in
mathematical physics by a new generalized fractional Jacobi elliptic equation-based sub-equation
method, Optik 127(2016), 7450-7458.
[7] A.M.A. El-Sayed, S.H. Behiry and W.E. Raslan, Adomian’s decomposition method for solving an
intermediate fractional advection-dispersion equation, Comput. Math. Appl., 59(2010), 1759-1765.
[8] O. Acan, O. Firat, Y. Keskin and G. Oturanc, Conformable variational iteration method, New
Trends in Math. Sci. 5(1)(2017), 172-178.
[9] M. Yavuz and B. Ya¸skıran, Approximate-analytical solutions of cable equation using conformable
fractional operator, New Trends in Math. Sci. 5(4)(2017), 209-219.
[10] A. Kurt, O. Tasbozan and D. Baleanu, New solutions for conformable fractional Nizhnik-NovikovVeselov system via G’/G expansion method and homotopy analysis methods, Opt. Quant. Electron.
49:333 (2017) 1-16.
[11] T. Islam, M. Ali Akbar and A. K. Azad, Traveling wave solutions to some nonlinear fractional partial
differential equations through the rational (G’/G)-expansion method, J. Ocean Engi. Sci. 3 (2018)
76-81.
[12] S. Guo, L. Mei and Y. Li, Fractional variational homotopy perturbation iteration method and its
application to a fractional diffusion equation, Appl. Math. Comput., 219(2013), 5909-5917.
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