Erkan Nane

activity

20042025

most citedFractional Cauchy problems on bounded domains

217 citations · 1.1k across the 56 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.PR2014★ 3 cited

Intermittence and time fractional stochastic partial differential equations

Jebessa B. Mijena, Erkan Nane

We consider time fractional stochastic heat type equation $\partial_{t}^{β} u (t, x) = - ν (- Δ)^{α /2} u_{t} (x) + I_{t}^{1 - β} [σ (u) W \cdot (t, x)]$ in $(d + 1)$ dimensions, where $ν > 0$ , $β\…

math.PR2014

Space-time fractional stochastic partial differential equations

Jebessa B. Mijena, Erkan Nane

We consider non-linear time-fractional stochastic heat type equation $\partial_{t}^{β} u_{t} (x) = - ν (- Δ)^{α /2} u_{t} (x) + I_{t}^{1 - β} [σ (u) W \cdot (t, x)]$ in $(d + 1)$ dimensions, where…

math.PR2014

Correlation structure of time-changed Pearson diffusions

Jebessa B. Mijena, Erkan Nane

The stochastic solution to diffusion equations with polynomial coefficients is called a Pearson diffusion. If the time derivative is replaced by a distributed fractional derivative…