21 citations · 26 across the 6 of their papers we have counts for
6 papers
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…
Fractional differential equations: non-constant coefficients, simulation and model reduction
Ruben Aylwin, Göksu Oruc, Karsten Urban
We consider boundary value problems with Riemann-Liouville fractional derivatives of order with non-constant diffusion and reaction coefficients. A variational formul…
Numerical study of fractional Camassa-Holm equations
Christian Klein, Goksu Oruc
A numerical study of fractional Camassa-Holm equations is presented. Smooth solitary waves are constructed numerically. Their stability is studied as well as the long time behavior…
On the Stability of Solitary Wave Solutions for a Generalized Fractional Benjamin-Bona-Mahony Equation
Goksu Oruc, Fábio Natali, Handan Borluk +1
In this paper we establish a rigorous spectral stability analysis for solitary waves associated to a generalized fractional Benjamin-Bona-Mahony type equation. Besides the well kno…
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…
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.…