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math.NA2018
Fractional Sensitivity Equation Method: Applications to Fractional Model Construction
Ehsan Kharazmi, Mohsen Zayernouri
Fractional differential equations provide a tractable mathematical framework to describe anomalous behavior in complex physical systems, yet they introduce new sensitive model para…
math.NA2018★ 1 cited
Operator-Based Uncertainty Quantification of Stochastic Fractional PDEs
Ehsan Kharazmi, Mohsen Zayernouri
Fractional calculus provides a rigorous mathematical framework to describe anomalous stochastic processes by generalizing the notion of classical differential equations to their fr…
math.NA2018★ 13 cited
Petrov-Galerkin Method for Fully Distributed-Order Fractional Partial Differential Equations
Mehdi Samiee, Ehsan Kharazmi, Mohsen Zayernouri +1
Distributed-order PDEs are tractable mathematical models for complex multiscaling anomalous transport, where derivative orders are distributed over a range of values. We develop a…