Analytical study of fractal modified Degasperis-Procesi equation involving beta-derivative

This paper considers the fractal modified Degasperis-Procesi type equation involving a Beta-derivative as a generalized form of the standard ones. The approximate analytical solutions for the new model were obtained by employing the modified homotopy perturbation method coupled Laplace transformation, which is also called as He-Laplace method in literature. The presented example demonstrates the efficacy of the applied method in solving non-linear equations.