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This paper proposes a numerical approach based on the fractional complex transform and the homotopy perturbation method to solving the space-time fractional Benjamin-Bona-Mahony (mBBM) equation with Caputo fractional derivative. Approximated solutions with high accuracy are provided without linearization or complicated computation. Numerical examples are given to illustrate the efficiency of this method.
PAPER REVISED: 2022-07-20
PAPER ACCEPTED: 2022-07-21
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THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 3, PAGES [1755 - 1762]
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