Abstract

In this paper, the functional variable method is utilized to derive analytical solutions for the (2 + 1)-dimensional time-fractional Zoomeron equation and the space-time fractional modified regularized long-wave equation, based on the Jumarie’s modified Riemann-Liouville derivative. The given equations are transformed into nonlinear ordinary differential equations of integer order, which are then solved using the proposed functional variable method, a novel analytical approach. Consequently, several exact solutions are successfully obtained. The results demonstrate that the proposed method is both efficient and easy to implement.

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