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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Regularized solutions for some backward nonlinear partial differential equations with statistical data
TL;DR: In this article, the backward problem of determining initial condition for some class of nonlinear parabolic equations in multidimensional domain where data are given under random noise was studied, and the convergence rate between the regularized solution and the solution of their equations was investigated.
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Strong analytic solutions of fractional Cauchy problems
TL;DR: Baeumer and Meerschaert as mentioned in this paper developed strong analytic solutions for distributed order fractional Cauchy problems, where the order of the fractional derivative is distributed over the unit interval.
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GNSS-based TEC data modeling with the solar wind parameters
E. Eroglu,Erkan Nane +1 more
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Brownian subordinators and fractional Cauchy problems
TL;DR: In this paper, the scaling limits of continuous time random walks were shown to be equivalent to the hitting time process of a classical stable subordinator, and an equivalence between these two families of partial differential equations was established.
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Local Times of Multidimensional $\alpha$-time Fractional Brownian Motion
TL;DR: In this paper, the existence, joint continuity and sharp Holder conditions in the set variable of the local time of a fractional Brownian motion were investigated. But their results rely on the strong local nondeterminism of fractional brownian motion.