Fractional Sumudu decomposition method for time-fractional OBBM-Burgers equation with its similarity reduction, conservation laws, and analytical solutions
Abstract:The time-fractional Oskolkov-Benjamin-Bona-Mahony-Burgers (TF-OBBMB) equation is investigated in this paper. For this equation, we apply the Lie symmetry analysis to detect the symmetries and the vector fields provided using the definition of Riemann-Liouville (R-L) fractional derivatives. These symmetries allow us to construct the similarity reduction for the considered equation which converts it to a fractional ordinary differential (FOD) equation. Add to that, a set of solutions for the TF-OBBMB equation is… Show more
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