EXACT SOLITARY WAVE SOLUTIONS OF TIME FRACTIONAL NONLINEAR EVOLUTION MODELS: A HYBRID ANALYTIC APPROACH

In this article we propose efficient techniques for solving fractional differential equations such as KdV-Burgers, Kadomtsev-Petviashvili, Zakharov-Kuznetsov with less computational efforts and high accuracy for both numerical and analytical purposes. The general exp_a-function method is employed to reckon new exact solitary wave solutions of time fractional nonlinear evolution equations (NLEEs) stemming from mathematical physics. Fractional complex transformation in conjunction with modified Riemann-Liouville operator is used to tackle the fractional sense of the accompanying problems. A comparison with existing conventional exp-function method and improved exp-function method shows that the proposed recipe is more productive in terms of obtaining analytical solutions. The graphical depictions of extracted information show a strong relationship among fractional order outcomes with those of classical ones.