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math.AP2025
On the Long Time Existence of a Fractional KdV-BBM Type Equation
Goksu Oruc
We consider a fractional Korteweg de Vries-Benjamin Bona Mahony (KdV-BBM) type equation including both fractional dispersive terms of fractional KdV and fractional BBM equations. W…
math.AP2021
On the existence, uniqueness and stability of Periodic Waves for the fractional Benjamin-Bona-Mahony equation
Sabrina Amaral, Handan Borluk, Gulcin M. Muslu +2
The existence, uniqueness and stability of periodic traveling waves for the fractional Benjamin-Bona-Mahony equation is considered. In our approach, we give sufficient conditions t…
math.AP2019
The Generalized Fractional Benjamin-Bona-Mahony Equation: Analytical and Numerical Results
Goksu Oruc, Handan Borluk, Gulcin M. Muslu
The generalized fractional Benjamin-Bona-Mahony (gfBBM) equation models the propagation of small amplitude long unidirectional waves in a nonlocally and nonlinearly elastic medium.…