Fractional Sturm-Liouville eigen-problems: Theory and numerical approximation. - Mohsen Zayernouri; George E. Karniadakis (J. Comput. Phys., 2013)

Exponentially accurate spectral and spectral element methods for fractional ODEs. - Mohsen Zayernouri; George E. Karniadakis (J. Comput. Phys., 2014)

Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations. - Mohsen Zayernouri; Wanrong Cao; Zhongqiang Zhang; George E. Karniadakis (SIAM J. Sci. Comput., 2014)

Fractional Spectral Collocation Method. - Mohsen Zayernouri; George E. Karniadakis (SIAM J. Sci. Comput., 2014)

Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations. - Mohsen Zayernouri; George E. Karniadakis (SIAM J. Sci. Comput., 2014)

Fractional spectral collocation methods for linear and nonlinear variable order FPDEs. - Mohsen Zayernouri; George E. Karniadakis (J. Comput. Phys., 2015)

Tempered Fractional Sturm-Liouville EigenProblems. - Mohsen Zayernouri; Mark Ainsworth; George E. Karniadakis (SIAM J. Sci. Comput., 2015)

Fractional Adams-Bashforth/Moulton methods: An application to the fractional Keller-Segel chemotaxis system. - Mohsen Zayernouri; Anastasios Matzavinos (J. Comput. Phys., 2016)

A Unified Spectral Method for FPDEs with Two-sided Derivatives; Stability, and Error Analysis. - Mehdi Samiee; Mohsen Zayernouri; Mark M. Meerschaert (CoRR, 2017)

A Unified Spectral Method for FPDEs with Two-sided Derivatives; A Fast Solver. - Mehdi Samiee; Mohsen Zayernouri; Mark M. Meerschaert (CoRR, 2017)

Petrov-Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations. - Ehsan Kharazmi; Mohsen Zayernouri; George E. Karniadakis (SIAM J. Sci. Comput., 2017)

A Petrov-Galerkin Spectral Method of Linear Complexity for Fractional Multiterm ODEs on the Half Line. - Anna Lischke; Mohsen Zayernouri; George E. Karniadakis (SIAM J. Sci. Comput., 2017)

Preface. - Khaled M. Furati; Abdul Q. M. Khaliq; Changpin Li; Mohsen Zayernouri (Int. J. Comput. Math., 2018)

Fractional pseudo-spectral methods for distributed-order fractional PDEs. - Ehsan Kharazmi; Mohsen Zayernouri (Int. J. Comput. Math., 2018)

Vibration Analysis of Geometrically Nonlinear and Fractional Viscoelastic Cantilever Beams. - Pegah Varghaei; Ehsan Kharazmi; Jorge L. Suzuki; Mohsen Zayernouri (CoRR, 2019)

Fast IMEX Time Integration of Nonlinear Stiff Fractional Differential Equations. - Yongtao Zhou; Jorge L. Suzuki; Chengjian Zhang; Mohsen Zayernouri (CoRR, 2019)

A Fractional Subgrid-scale Model for Turbulent Flows: Theoretical Formulation and a Priori Study. - Mehdi Samiee; Ali Akhavan-Safaei; Mohsen Zayernouri (CoRR, 2019)

A Thermodynamically Consistent Fractional Visco-Elasto-Plastic Model with Memory-Dependent Damage for Anomalous Materials. - Jorge L. Suzuki; Yongtao Zhou; Marta D'Elia; Mohsen Zayernouri (CoRR, 2019)

A unified spectral method for FPDEs with two-sided derivatives; part I: A fast solver. - Mehdi Samiee; Mohsen Zayernouri; Mark M. Meerschaert (J. Comput. Phys., 2019)

A unified spectral method for FPDEs with two-sided derivatives; Part II: Stability, and error analysis. - Mehdi Samiee; Mohsen Zayernouri; Mark M. Meerschaert (J. Comput. Phys., 2019)

Fractional Sensitivity Equation Method: Application to Fractional Model Construction. - Ehsan Kharazmi; Mohsen Zayernouri (J. Sci. Comput., 2019)

Data-Driven Failure Prediction in Brittle Materials: A Phase-Field Based Machine Learning Framework. - Eduardo A. Barros de Moraes; Hadi Salehi; Mohsen Zayernouri (CoRR, 2020)

Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Structures. - Jorge L. Suzuki; Pegah Varghaei; Ehsan Kharazmi; Mohsen Zayernouri (CoRR, 2020)

Vibrations suppression of fractionally damped plates using multiple optimal dynamic vibration absorbers. - M. Ari; R. T. Faal; Mohsen Zayernouri (Int. J. Comput. Math., 2020)

A Data-Driven Memory-Dependent Modeling Framework for Anomalous Rheology: Application to Urinary Bladder Tissue. - Jorge L. Suzuki; Tyler G. Tuttle; Sara Roccabianca; Mohsen Zayernouri (CoRR, 2021)

A self-singularity-capturing scheme for fractional differential equations. - Jorge L. Suzuki; Mohsen Zayernouri (Int. J. Comput. Math., 2021)

Data-driven fractional subgrid-scale modeling for scalar turbulence: A nonlocal LES approach. - Ali Akhavan-Safaei; Mehdi Samiee; Mohsen Zayernouri (J. Comput. Phys., 2021)

A General Return-Mapping Framework for Fractional Visco-Elasto-Plasticity. - Jorge L. Suzuki; Maryam Naghibolhosseini; Mohsen Zayernouri (CoRR, 2022)

A Thermo-Electro-Mechanical Model for Long-Term Reliability of Aging Transmission Lines. - Eduardo A. Barros de Moraes; Prakash K. C.; Mohsen Zayernouri (CoRR, 2024)

Thermo-Electro-Mechanical Modeling of Power Transmission Line Failures across Four US States. - Prakash KC; Maryam Naghibolhosseini; Mohsen Zayernouri (CoRR, 2024)

Multi-Scenario and Stochastic Thermo-Electro-Mechanical Modeling of Failure in Power Transmission Lines. - Prakash KC; Maryam Naghibolhosseini; Mohsen Zayernouri (CoRR, 2024)

Stochastic Generalized-Order Constitutive Modeling of Viscoelastic Spectra of Polyurea-Graphene Nanocomposites. - Arman Khoshnevis; Demetrios A. Tzelepis; Valeriy V. Ginzburg; Mohsen Zayernouri (CoRR, 2024)

Simulation of Stochastic Discrete Dislocation Dynamics in Ductile Vs Brittle Materials. - Santosh Chhetri; Maryam Naghibolhosseini; Mohsen Zayernouri (CoRR, 2024)