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Browsing by Author "Tantawy, M."

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    Fractional Kdv and Boussenisq-burger's Equations, Reduction To Pde and Stability Approaches
    (Wiley, 2020) Tantawy, M.; Baleanu, D.; Abdel-Gawad, H. I.
    The generalized fractional Caputo-operator is discussed. The reduction of partial differential equations retarded or advanced with delays is obtained. The applications to the space-time-fractional KdV and time-fractional Boussenisq-Burger's equation are carried. Semi-self-similar SS wave solutions are obtained. That is, there exists a soliton wave propagates along a specific characteristic curve in the xt- plane. This may be due to the effects associated with the distributed time delay. The effects of space fractional derivative on a system are attributed to the transition states. Thus, anomalous wave transport is produced mainly near the origin.