E
Erkan Nane
Researcher at Auburn University
Publications - 120
Citations - 2276
Erkan Nane is an academic researcher from Auburn University. The author has contributed to research in topics: Fractional calculus & Subordinator. The author has an hindex of 23, co-authored 113 publications receiving 1989 citations. Previous affiliations of Erkan Nane include Purdue University & Michigan State University.
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A random regularized approximate solution of the inverse problem for the Burgers' equation
TL;DR: In this article, a regularized approximate solution for an inverse problem for the Burgers' equation is proposed, where the solution does not depend continuously on the data and the convergence rate is investigated.
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Simultaneous inversion for the fractional exponents in the space-time fractional diffusion equation ∂t β u = −(− Δ) α/2 u − (− Δ) γ/2 u
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α-time fractional Brownian motion: PDE connections and local times∗
TL;DR: In this paper, the existence, joint continuity and sharp Holder conditions in the set variable of the local times of a d-dimensional α-time fractional Brownian motion X = X(t), t ∈ ǫ+ √ n, where n is the number of random walks.
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Intermittency fronts for space-time fractional stochastic partial differential equations in $(d+1)$ dimensions
Sunday A. Asogwa,Erkan Nane +1 more
TL;DR: In this article, the authors considered time fractional stochastic heat type equation and showed that the absolute moments of the solutions of this equation grows exponentially with time and the distances to the origin of the farthest high peaks of those moments grow exactly linearly with time.
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Finite Time Blowup of Solutions to SPDEs with Bernstein Functions of the Laplacian
TL;DR: Foondun et al. as discussed by the authors investigated the blowup in finite time of solutions to SPDEs, where the sufficient conditions on the initial value that imply the non-existence of the global solution are discussed.