29 citations · 65 across the 6 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2021★ 17 cited
A boundary-value problem for a mixed type equation involving hyper-Bessel fractional differential operator and Hilfer's bi-ordinal fractional derivative
E. Karimov, M. Ruzhansky, B. Toshtemirov
In a rectangular domain, a boundary-value problem is considered for a mixed-type equation with a regularized Caputo-like counterpart of hyper-Bessel differential operator and the b…
math.AP2020★ 29 cited
Fractional Klein-Gordon equation with singular mass
Arshyn Altybay, Michael Ruzhansky, Mohammed Elamine Sebih +1
We consider a space-fractional wave equation with a singular mass term depending on the position and prove that it is very weak well-posed. The uniqueness is proved in some appropr…
math.AP2013★ 16 cited
On weakly hyperbolic equations with analytic principal part
Claudia Garetto, Michael Ruzhansky
In this paper we show how to include low order terms in the well-posedness results for weakly hyperbolic equations with analytic time-dependent coefficients. This is a…