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Proceedings Papers

Mean-Axis Conditions for Finite Elements Undergoing Large Rotations and Translations

Proc. ASME. DETC97, Volume 1A: 16th Biennial Conference on Mechanical Vibration and Noise, V01AT06A001, September 14–17, 1997

Paper No: DETC97/VIB-4188

DOI: https://doi.org/10.1115/DETC97/VIB-4188

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Topics: Finite element analysis, Rotation

Proceedings Papers

K-L Expansion of a Random Process in Wavelet Bases

Om P. Agrawal, Shantaram S. Pai

Proc. ASME. DETC98, Volume 1A: 25th Biennial Mechanisms Conference, V01AT01A046, September 13–16, 1998

Paper No: DETC98/MECH-5856

DOI: https://doi.org/10.1115/DETC98/MECH-5856

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Topics: Stochastic processes, Wavelets, Eigenfunctions, Eigenvalues, Algorithms, Approximation, Engineering systems and industry applications, Fluid mechanics, Numerical analysis, Wavelet transforms

Proceedings Papers

A Numerical Scheme for Dynamic Systems Containing Fractional Derivatives

Lixia Yuan, Om P. Agrawal

Proc. ASME. DETC98, Volume 1A: 25th Biennial Mechanisms Conference, V01AT01A047, September 13–16, 1998

Paper No: DETC98/MECH-5857

DOI: https://doi.org/10.1115/DETC98/MECH-5857

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Topics: Damping, Differential equations, Dynamic analysis, Dynamic systems

Proceedings Papers

An Analytical Scheme for Stochastic Dynamic Systems Containing Fractional Derivatives

Om P. Agrawal

Proc. ASME. DETC99, Volume 7A: 17th Biennial Conference on Mechanical Vibration and Noise, 243-249, September 12–16, 1999

Paper No: DETC99/VIB-8238

DOI: https://doi.org/10.1115/DETC99/VIB-8238

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Topics: Damping, Dynamic systems, White noise, Eigenvalues, Laplace transforms, Stochastic processes

Proceedings Papers

Stochastic Analysis of a Fractionally Damped Beam

Om P. Agrawal

Proc. ASME. IDETC-CIE2001, Volume 6A: 18th Biennial Conference on Mechanical Vibration and Noise, 547-554, September 9–12, 2001

Paper No: DETC2001/VIB-21365

DOI: https://doi.org/10.1115/DETC2001/VIB-21365

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Topics: Dampers, Damping, Differential equations, Dynamics (Mechanics), Laplace transforms, Springs, Stochastic processes, White noise

Proceedings Papers

Comparison of Four Numerical Schemes for Isoperimetric Constraint Fractional Variational Problems With A-Operator

Rajesh K. Pandey, Om P. Agrawal

Proc. ASME. IDETC-CIE2015, Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V009T07A025, August 2–5, 2015

Paper No: DETC2015-46570

DOI: https://doi.org/10.1115/DETC2015-46570

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Topics: Approximation, Polynomials

Journal Articles

Numerical Scheme for a Quadratic Type Generalized Isoperimetric Constraint Variational Problems With A-Operator

Rajesh K. Pandey, Om P. Agrawal

J. Comput. Nonlinear Dynam. March 2015, 10(2): 021003.

Paper No: CND-13-1142

DOI: https://doi.org/10.1115/1.4028630

Published Online: March 1, 2015

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Topics: Polynomials, Approximation, Eigenvalues

Journal Articles

Models and Numerical Solutions of Generalized Oscillator Equations

Yufeng Xu, Om P. Agrawal

J. Vib. Acoust. October 2014, 136(5): 050903.

Paper No: VIB-13-1144

DOI: https://doi.org/10.1115/1.4027241

Published Online: July 25, 2014

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Topics: Boundary-value problems, Computation, Equations of motion, Errors, Harmonic oscillators, Stability, Dynamics (Mechanics), Numerical analysis, Approximation

Proceedings Papers

Numerical Scheme for Generalized Isoparametric Constraint Variational Problems With A-Operator

Rajesh K. Pandey, Om P. Agrawal

Proc. ASME. IDETC-CIE2013, Volume 4: 18th Design for Manufacturing and the Life Cycle Conference; 2013 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V004T08A017, August 4–7, 2013

Paper No: DETC2013-12388

DOI: https://doi.org/10.1115/DETC2013-12388

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Topics: Approximation, Eigenvalues, Polynomials

Proceedings Papers

Numerical Solutions of Generalized Oscillator Equations

Yufeng Xu, Om P. Agrawal

Paper No: DETC2013-12705

DOI: https://doi.org/10.1115/DETC2013-12705

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Topics: Classical mechanics, Electronics, Equations of motion, Harmonic oscillators, Quantum mechanics

Proceedings Papers

Lagrangians With Linear Velocities Within Hilfer Fractional Derivative

Dumitru Baleanu, Om P. Agrawal, Sami I. Muslih

Proc. ASME. IDETC-CIE2011, Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 335-338, August 28–31, 2011

Paper No: DETC2011-47953

DOI: https://doi.org/10.1115/DETC2011-47953

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Topics: Variational principles

Proceedings Papers

A Numerical Scheme for a Class of Parametric Problem of Fractional Variational Calculus

Om P. Agrawal, Md. Mehedi Hasan, X. W. Tangpong

Proc. ASME. IDETC-CIE2011, Volume 1: 23rd Biennial Conference on Mechanical Vibration and Noise, Parts A and B, 165-171, August 28–31, 2011

Paper No: DETC2011-48768

DOI: https://doi.org/10.1115/DETC2011-48768

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Topics: Algorithms, Eigenvalues, Error analysis, Numerical analysis, Optimization

Journal Articles

A Numerical Scheme for a Class of Parametric Problem of Fractional Variational Calculus

Om P. Agrawal, M. Mehedi Hasan, X. W. Tangpong

J. Comput. Nonlinear Dynam. April 2012, 7(2): 021005.

DOI: https://doi.org/10.1115/1.4005464

Published Online: January 6, 2012

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Topics: Algorithms, Eigenvalues, Errors, Numerical analysis, Optimization, Eigenfunctions

Proceedings Papers

Solutions of a Fractional Dirac Equation

Sami I. Muslih, Om P. Agrawal, Dumitru Baleanu

Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1011-1014, August 30–September 2, 2009

Paper No: DETC2009-86521

DOI: https://doi.org/10.1115/DETC2009-86521

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Topics: Dirac equation, Density, Momentum, Variational principles

Proceedings Papers

A Numerical Scheme and an Error Analysis for a Class of Fractional Optimal Control Problems

Om P. Agrawal

Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1253-1260, August 30–September 2, 2009

Paper No: DETC2009-87367

DOI: https://doi.org/10.1115/DETC2009-87367

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Topics: Error analysis, Optimal control, Differential equations, Algebra, Errors

Proceedings Papers

Fractional Optimal Control of Distributed Systems

X. W. Tangpong, Om P. Agrawal

Proc. ASME. IMECE2007, Volume 9: Mechanical Systems and Control, Parts A, B, and C, 511-519, November 11–15, 2007

Paper No: IMECE2007-43046

DOI: https://doi.org/10.1115/IMECE2007-43046

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Topics: Optimal control, Algebra, Differential equations, Integral equations, Scalars, Spacetime, Variational techniques

Proceedings Papers

Fractional Optimal Control of a Distributed System Using Eigenfunctions

Om P. Agrawal

Proc. ASME. IDETC-CIE2007, Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 1439-1447, September 4–7, 2007

Paper No: DETC2007-35921

DOI: https://doi.org/10.1115/DETC2007-35921

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Topics: Eigenfunctions, Optimal control, Algebra, Differential equations, Integral equations, Variational techniques

Journal Articles

Fractional Optimal Control of Continuum Systems

X. W. Tangpong, Om P. Agrawal

J. Vib. Acoust. April 2009, 131(2): 021012.

DOI: https://doi.org/10.1115/1.3025833

Published Online: February 19, 2009

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Topics: Optimal control, Algebra

Proceedings Papers

Numerical Scheme for the Solution of Fractional Differential Equations of Order Greater Than 1

Pankaj Kumar, Om P. Agrawal

Proc. ASME. IDETC-CIE2005, Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 1485-1493, September 24–28, 2005

Paper No: DETC2005-84493

DOI: https://doi.org/10.1115/DETC2005-84493

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Topics: Differential equations, Polynomials, Integral equations, Algebra, Algorithms, Approximation

Journal Articles

Fractional Optimal Control of a Distributed System Using Eigenfunctions

Om P. Agrawal

J. Comput. Nonlinear Dynam. January 2008, 3(2): 021204.

DOI: https://doi.org/10.1115/1.2833873

Published Online: February 4, 2008

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Topics: Eigenfunctions, Optimal control

Journal citation

NARROW

Mean-Axis Conditions for Finite Elements Undergoing Large Rotations and Translations

K-L Expansion of a Random Process in Wavelet Bases

A Numerical Scheme for Dynamic Systems Containing Fractional Derivatives

An Analytical Scheme for Stochastic Dynamic Systems Containing Fractional Derivatives

Stochastic Analysis of a Fractionally Damped Beam

Comparison of Four Numerical Schemes for Isoperimetric Constraint Fractional Variational Problems With A-Operator

Numerical Scheme for a Quadratic Type Generalized Isoperimetric Constraint Variational Problems With A-Operator

Models and Numerical Solutions of Generalized Oscillator Equations

Numerical Scheme for Generalized Isoparametric Constraint Variational Problems With A-Operator

Numerical Solutions of Generalized Oscillator Equations

Lagrangians With Linear Velocities Within Hilfer Fractional Derivative

A Numerical Scheme for a Class of Parametric Problem of Fractional Variational Calculus

A Numerical Scheme for a Class of Parametric Problem of Fractional Variational Calculus

Solutions of a Fractional Dirac Equation

A Numerical Scheme and an Error Analysis for a Class of Fractional Optimal Control Problems

Fractional Optimal Control of Distributed Systems

Fractional Optimal Control of a Distributed System Using Eigenfunctions

Fractional Optimal Control of Continuum Systems

Numerical Scheme for the Solution of Fractional Differential Equations of Order Greater Than 1

Fractional Optimal Control of a Distributed System Using Eigenfunctions

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