833 citations · 1.1k across the 10 of their papers we have counts for
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Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation
Min Cai, Ehsan Kharazmi, Changpin Li +1
We develop fractional buffer layers (FBLs) to absorb propagating waves without reflection in bounded domains. Our formulation is based on variable-order spatial fractional derivati…
Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Structures
Jorge L. Suzuki, Pegah Varghaei, Ehsan Kharazmi +1
Fractional models and their parameters are sensitive to changes in the intrinsic micro-structures of anomalous materials. We investigate how such physics-informed models propagate…
Vibration Analysis of Geometrically Nonlinear and Fractional Viscoelastic Cantilever Beams
Pegah Varghaei, Ehsan Kharazmi, Jorge L. Suzuki +1
We investigate the nonlinear vibration of a fractional viscoelastic cantilever beam, subject to base excitation, where the viscoelasticity takes the general form of a distributed-o…
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…
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…
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…