Advanced semi-analytical techniques for fractional shallow water wave models through the analogical structure of generalized $$\phi$$-Caputo derivative operators

Researchers have developed advanced semi-analytical methods for fractional shallow water wave models. These techniques leverage the analogical structure found within generalized phi-Caputo derivative operators. This approach offers a novel way to analyze complex wave behaviors in shallow water environments.

This research contributes to a better understanding and modeling of shallow water wave dynamics, which has implications for coastal engineering and environmental management.