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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.NA2025
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…