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Browsing by Author "Tajadodi, H."

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    Application of A Homogeneous Balance Method To Exact Solutions of Nonlinear Fractional Evolution Equations
    (2014) Baleanu, Dumitru; Tajadodi, H.; Baleanu, Dumitru; 56389
    The fractional Fan subequation method of the fractional Riccati equation is applied to construct the exact solutions of some nonlinear fractional evolution equations. In this paper, a powerful algorithm is developed for the exact solutions of the modified equal width equation, the Fisher equation, the nonlinear Telegraph equation, and the Cahn-Allen equation of fractional order. Fractional derivatives are described in the sense of the modified Riemann-Liouville derivative. Some relevant examples are investigated.
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    Article
    Exact solutions of Boussinesq and KdV-mKdV equations by fractional sub-equation method
    (2013) Baleanu, Dumitru; Tajadodi, H.; Baleanu, Dumitru; Al-Zahrani, A. A.; Alhamed, Y. A.; Zahid, A. H.; 56389
    A fractional sub-equation method is introduced to solve fractional differential equations. By the aid of the solutions of the fractional Riccati equation, we construct solutions of the Boussinesq and KdV-mKdV equations of fractional order. The obtained results show that this method is very efficient and easy to apply for solving fractional partial differential equations.