Pol D. Spanos

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All published works

Action	Title	Year	Authors
+	Analysis of Fractional Dynamical Systems Using Recursive Bayesian Estimation Methods and Response Data	2024	Kalil Erazo Alberto Di Matteo Pol D. Spanos
+	Wiener Path Integral Formalism	2024	Ioannis A. Kougioumtzoglou Apostolos F. Psaros Pol D. Spanos
+	Determination of Nonstationary Stochastic Response of Linear Oscillators With Fractional Derivative Elements of Rational Order	2023	Alberto Di Matteo Pol D. Spanos
+	Extended statistical linearization approach for estimating non-stationary response statistics of systems comprising fractional derivative elements	2023	B. Pomaro Pol D. Spanos
+	Equation governing the probability density evolution of multi-dimensional linear fractional differential systems subject to Gaussian white noise	2023	Yi Luo Meng‐Ze Lyu Jianbing Chen Pol D. Spanos
+	Stochastic response determination of multi-dimensional nonlinear systems endowed with fractional derivative elements by the GE-GDEE	2022	Yi Luo Pol D. Spanos Jianbing Chen
+	Nonstationary stochastic response determination of nonlinear oscillators endowed with fractional derivatives	2022	Pol D. Spanos Wei Zhang
+	Response spectral density determination for nonlinear systems endowed with fractional derivatives and subject to colored noise	2020	Fan Kong Pol D. Spanos
+ PDF Chat	Boundary elements approach for solving stochastic nonlinear problems with fractional Laplacian terms	2020	Yiyu Jiao Pol D. Spanos
+ PDF Chat	Efficient calculation of the response statistics of two-dimensional fractional diffusive systems	2020	Giovanni Malara Pol D. Spanos Yiyu Jiao
+	INVITED: Boundary Element Method and Statistical Linearization solution of nonlinear fractional diffusion equations	2018	Pol D. Spanos Yiyu Jiao Giovanni Malara
+	Boundary Element Method Based Approach for Estimating the Response of a System Governed by a Stochastic Nonlinear Fractional Diffusion Equation	2018	Yiyu Jiao Giovanni Malara Pol D. Spanos
+	Approximate survival probability determination of hysteretic systems with fractional derivative elements	2017	Alberto Di Matteo Pol D. Spanos Antonina Pirrotta
+ PDF Chat	Nonlinear random vibrations of plates endowed with fractional derivative elements	2017	Giovanni Malara Pol D. Spanos
+	Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements	2016	Pol D. Spanos Alberto Di Matteo Yezeng Cheng Antonina Pirrotta Jie Li
+	An integral transform approach for solving partial differential equations with stochastic excitation	2015	W.X. Xie Pol D. Spanos
+	Preface	2015	Katica Hedrih I. I. Kosenko П. А. Красильников Pol D. Spanos
+	A Wiener Path Integral Technique for Non-Stationary Response Determination of Nonlinear Oscillators with Fractional Derivative Elements	2014	Alberto Di Matteo Mario Di Paola Ioannis A. Kougioumtzoglou Antonina Pirrotta Pol D. Spanos
+	Analysis of multi-degree-of-freedom systems with fractional derivative elements of rational order	2014	Mario Di Paola Francesco Paolo Pinnola Pol D. Spanos
+	Nonlinear Random Vibrations of Beams with Fractional Derivative Elements	2014	Pol D. Spanos Giovanni Malara
+	An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators	2011	Ioannis A. Kougioumtzoglou Pol D. Spanos
+	An Accelerated Newmark Scheme for Integrating the Equation of Motion of Nonlinear Systems Comprising Restoring Elements Governed by Fractional Derivatives	2011	Georgios I. Evangelatos Pol D. Spanos
+	Response of a non-linear system with restoring forces governed by fractional derivatives—Time domain simulation and statistical linearization solution	2010	Pol D. Spanos Georgios I. Evangelatos
+	Stochastic processes evolutionary spectrum estimation via harmonic wavelets	2004	Pol D. Spanos Jale Tezcan P. Tratskas
+	Evolutionary Spectra Estimation Using Wavelets	2004	Pol D. Spanos Giuseppe Failla
+	Random Field Representation in a Biorthogonal Wavelet Basis	2001	Pol D. Spanos V. Ravi S. Rao
+	Heuristic spectral estimation of bivariate nonstationary processes	1996	Pol D. Spanos When-Yen Tein Roger Ghanem
+	MA to ARMA Two-Stage Monte Carlo Simulation	1988	Marc P. Mignolet Pol D. Spanos

Common Coauthors

Coauthor	Papers Together
Giovanni Malara	5
Alberto Di Matteo	5
Yiyu Jiao	4
Antonina Pirrotta	3
Ioannis A. Kougioumtzoglou	3
Jianbing Chen	2
Mario Di Paola	2
Yi Luo	2
Georgios I. Evangelatos	2
Meng‐Ze Lyu	1
Jale Tezcan	1
B. Pomaro	1
I. I. Kosenko	1
Giuseppe Failla	1
Wei Zhang	1
Jie Li	1
П. А. Красильников	1
Yezeng Cheng	1
W.X. Xie	1
Katica Hedrih	1
V. Ravi S. Rao	1
Fan Kong	1
Marc P. Mignolet	1
Roger Ghanem	1
Apostolos F. Psaros	1
When-Yen Tein	1
Francesco Paolo Pinnola	1
Kalil Erazo	1
P. Tratskas	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Response of a non-linear system with restoring forces governed by fractional derivatives—Time domain simulation and statistical linearization solution	2010	Pol D. Spanos Georgios I. Evangelatos	14
+ PDF Chat	A new general law of deformation	1921	P. G. Nutting	10
+	Response and stability of a SDOF strongly nonlinear stochastic system with light damping modeled by a fractional derivative	2008	Z.L. Huang Xiaoling Jin	9
+	Application of fractional derivatives to seismic analysis of base‐isolated models	1990	C. G. Koh James M. Kelly	8
+	Fractional Differential Equations - An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of their Solution and some of their Applications	1999		7
+	On the stochastic response of a fractionally-damped Duffing oscillator	2012	Giuseppe Failla Antonina Pirrotta	6
+	Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results	2009	Yury A. Rossikhin Marina V. Shitikova	6
+	An Introduction to the Fractional Calculus and Fractional Differential Equations	1993	Kenneth S. Miller Bertram Ross	6
+	Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements	2016	Pol D. Spanos Alberto Di Matteo Yezeng Cheng Antonina Pirrotta Jie Li	6
+ PDF Chat	Visco-elastic behavior through fractional calculus: An easier method for best fitting experimental results	2011	Mario Di Paola Antonina Pirrotta A. Valenza	6
+	Statistical analysis for stochastic systems including fractional derivatives	2009	Zhilong Huang Xiaoling Jin C.W. Lim Yuwei Wang	5
+ PDF Chat	Numerical solution of multi‐term fractional differential equations	2009	John T. Katsikadelis	5
+	On the Fractional Calculus Model of Viscoelastic Behavior	1986	Ronald L. Bagley Peter J. Torvik	5
+	Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids	1997	Yury A. Rossikhin Marina V. Shitikova	5
+	XLV.<i>On fractional differentials</i>	1938	Andrew Gemant	4
+	Fractional Integrals and Derivatives: Theory and Applications	1993	Stefan Samko Anatoly A. Kilbas O. I. Marichev	4
+	Nonlinear Random Vibrations of Beams with Fractional Derivative Elements	2014	Pol D. Spanos Giovanni Malara	4
+	A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity	1983	Ronald L. Bagley Peter J. Torvik	4
+	Analytical Solution for Stochastic Response of a Fractionally Damped Beam	2004	Om P. Agrawal	4
+	Innovative modeling of Tuned Liquid Column Damper motion	2014	Alberto Di Matteo F. Iacono Giacomo Navarra Antonina Pirrotta	4
+	Response of Fractional Oscillators With Viscoelastic Term Under Random Excitation	2013	Yong Xu Yongge Li Di Liu	4
+	First passage failure of SDOF nonlinear oscillator with lightly fractional derivative damping under real noise excitations	2010	Lincong Chen Weiqiu Zhu	3
+	Dynamic Analysis of Generalized Viscoelastic Fluids	1993	Nicos Makris Gary F. Dargush Michael C. Constantinou	3
+	The Fractional Calculus - Theory and Applications of Differentiation and Integration to Arbitrary Order	1974	Keith B. Oldham Jerome Spanier	3
+	An Accelerated Newmark Scheme for Integrating the Equation of Motion of Nonlinear Systems Comprising Restoring Elements Governed by Fractional Derivatives	2011	Georgios I. Evangelatos Pol D. Spanos	3
+	Stochastic jump and bifurcation of Duffing oscillator with fractional derivative damping under combined harmonic and white noise excitations	2011	Lincong Chen Weiqiu Zhu	3
+	Fractional calculus in the transient analysis of viscoelastically damped structures	1985	Ronald L. Bagley Peter J. Torvik	3
+ PDF Chat	Advances in fractional calculus: theoretical developments and applications in physics and Engineering	2007	Jocelyn Sabatier Om P. Agrawal J. A. Tenreiro Machado	3
+	First passage of stochastic fractional derivative systems with power-form restoring force	2015	Wei Li Lincong Chen Nataša Trišović Aleksandra Cvetković Junfeng Zhao	3
+	Exact Solution of Some Linear Fractional Differential Equations by Laplace Transform	2013	Saeed Kazem	3
+	Stochastic dynamics of nonlinear systems with a fractional power-law nonlinear term: The fractional calculus approach	2010	Giulio Cottone Mario Di Paola Salvatore Butera	3
+	Fractional‐Derivative Maxwell Model for Viscous Dampers	1991	Nicos Makris Michael C. Constantinou	3
+	Approximate survival probability determination of hysteretic systems with fractional derivative elements	2017	Alberto Di Matteo Pol D. Spanos Antonina Pirrotta	3
+	None	2003	Li Gen-guo Zhu Zheng-you Cheng Chang-jun	2
+	Stochastic Analysis of a 1-D System With Fractional Damping of Order 1/2	2002	Om P. Agrawal	2
+	Stochastic response of fractionally damped beams	2013	Salvatore Lorenzo Mario Di Paola Francesco Paolo Pinnola Antonina Pirrotta	2
+	On the numerical evaluation of fractional derivatives in multi-degree-of-freedom systems	2006	André Schmidt Lothar Gaul	2
+	None	2002	André Schmidt Lothar Gaul	2
+	Stochastic seismic response of structures with added viscoelastic dampers modeled by fractional derivative	2003	Kun Ye Li Li Jiaxiang Tang	2
+	A non-local model of fractional heat conduction in rigid bodies	2011	Guido Borino Mario Di Paola Massimiliano Zingales	2
+	Algorithms for seismic analysis of MDOF systems with fractional derivatives	2011	Mahendra P. Singh T.-S. Chang Harsh Nandan	2
+	Finite element formulation of viscoelastic sandwich beams using fractional derivative operators	2004	Ana Cristina Galucio J.-F. De� Roger Ohayon	2
+	On the Fractional Order Model of Viscoelasticity	2005	Klas Adolfsson Mikael Enelund Peter Olsson	2
+	Theory and Applications of Fractional Differential Equations	2006	Anatoly A. Kilbas H. M. Srivastava Juan J. Trujillo	2
+	A new method for solving dynamic problems of fractional derivative viscoelasticity	2001	Yury A. Rossikhin Marina V. Shitikova	2
+ PDF Chat	Nonlinear Vibrations of Viscoelastic Plates of Fractional Derivative Type: An AEM Solution	2010	Nick G. Babouskos John T. Katsikadelis	2
+	An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators	2011	Ioannis A. Kougioumtzoglou Pol D. Spanos	2
+	Analytical model of viscoelastic dampers for seismic mitigation of structures	1994	H.H. Lee C. S. Tsai	2
+	Heuristic spectral estimation of bivariate nonstationary processes	1996	Pol D. Spanos When-Yen Tein Roger Ghanem	2
+	Dynamical Behaviors of Timoshenko Beam with Fractional Derivative Constitutive Relation	2002	G.-G. Li	2