Ngartelbaye Guerngar

activity

20182025

collaborators

Showing math.APShow all

3 papers · 1 filter

math.AP2022

Distributed-order space-time fractional diffusions in bounded domains

Ngartelbaye Guerngar, James McCormick

We provide explicit classical solutions and stochastic analogues for distributed-order space-time fractional diffusion equations on bounded domains with zero exterior boundary cond…

math.AP2019

Simultaneous inversion for the fractional exponents in the space-time fractional diffusion equation $\partial_{t}^{β} u = - (- Δ)^{α /2} u - (- Δ)^{γ /2} u$

Ngartelbaye Guerngar, Erkan Nane, Ramazan Tinatztepe +2

In this article, we consider the space-time fractional (nonlocal) equation characterizing the so-called "double-scale" anomalous diffusion $$\partial_t^βu(t, x) = -(-Δ)^{α/2}u(t,x)…

math.AP2018

A uniqueness determination of the fractional exponents in a three-parameter fractional diffusion

Ngartelbaye Guerngar, Erkan Nane, Süleyman Ulusoy +1

In this article, we consider the space-time Fractional (nonlocal) diffusion equation $\partial_{t}^{β} u (t, x) = L_{D}^{α_{1}, α_{2}} u (t, x), t \geq 0, x \in D,$ where $\partial…

Distributed-order space-time fractional diffusions in bounded domains

Simultaneous inversion for the fractional exponents in the space-time fractional diffusion equation ∂tβ​u=−(−Δ)α/2u−(−Δ)γ/2u

A uniqueness determination of the fractional exponents in a three-parameter fractional diffusion

Simultaneous inversion for the fractional exponents in the space-time fractional diffusion equation $\partial_{t}^{β} u = - (- Δ)^{α /2} u - (- Δ)^{γ /2} u$