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Om P. Agrawal
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Proceedings Papers

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

Venkata R. Sonti, Om P. Agrawal
Proc. ASME. DETC97, Volume 1A: 16th Biennial Conference on Mechanical Vibration and Noise, V01AT06A001, September 14–17, 1997
Publisher: American Society of Mechanical Engineers
Paper No: DETC97/VIB-4188
https://doi.org/10.1115/DETC97/VIB-4188
View Paper titled, Mean-Axis Conditions for Finite Elements Undergoing Large Rotations and Translations
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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
Publisher: American Society of Mechanical Engineers
Paper No: DETC98/MECH-5856
https://doi.org/10.1115/DETC98/MECH-5856
View Paper titled, K-L Expansion of a Random Process in Wavelet Bases
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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
Publisher: American Society of Mechanical Engineers
Paper No: DETC98/MECH-5857
https://doi.org/10.1115/DETC98/MECH-5857
View Paper titled, A Numerical Scheme for Dynamic Systems Containing Fractional Derivatives
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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
Publisher: American Society of Mechanical Engineers
Paper No: DETC99/VIB-8238
https://doi.org/10.1115/DETC99/VIB-8238
View Paper titled, An Analytical Scheme for Stochastic Dynamic Systems Containing Fractional Derivatives
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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
Publisher: American Society of Mechanical Engineers
Paper No: DETC2001/VIB-21365
https://doi.org/10.1115/DETC2001/VIB-21365
View Paper titled, Stochastic Analysis of a Fractionally Damped Beam
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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
Publisher: American Society of Mechanical Engineers
Paper No: DETC2015-46570
https://doi.org/10.1115/DETC2015-46570
View Paper titled, Comparison of Four Numerical Schemes for Isoperimetric Constraint Fractional Variational Problems With A-Operator
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2015, 10(2): 021003.
Paper No: CND-13-1142
https://doi.org/10.1115/1.4028630
Published Online: March 1, 2015
View Article titled, Numerical Scheme for a Quadratic Type Generalized Isoperimetric Constraint Variational Problems With A-Operator
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Topics: Polynomials, Approximation, Eigenvalues
Journal Articles

Models and Numerical Solutions of Generalized Oscillator Equations

Yufeng Xu, Om P. Agrawal
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research-Article
J. Vib. Acoust. October 2014, 136(5): 050903.
Paper No: VIB-13-1144
https://doi.org/10.1115/1.4027241
Published Online: July 25, 2014
View Article titled, Models and Numerical Solutions of Generalized Oscillator Equations
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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
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-12388
https://doi.org/10.1115/DETC2013-12388
View Paper titled, Numerical Scheme for Generalized Isoparametric Constraint Variational Problems With A-Operator
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Topics: Approximation, Eigenvalues, Polynomials
Proceedings Papers

Numerical Solutions of Generalized Oscillator Equations

Yufeng Xu, 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, V004T08A020, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-12705
https://doi.org/10.1115/DETC2013-12705
View Paper titled, Numerical Solutions of Generalized Oscillator Equations
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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
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-47953
https://doi.org/10.1115/DETC2011-47953
View Paper titled, Lagrangians With Linear Velocities Within Hilfer Fractional Derivative
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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
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-48768
https://doi.org/10.1115/DETC2011-48768
View Paper titled, A Numerical Scheme for a Class of Parametric Problem of Fractional Variational Calculus
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2012, 7(2): 021005.
https://doi.org/10.1115/1.4005464
Published Online: January 6, 2012
View Article titled, A Numerical Scheme for a Class of Parametric Problem of Fractional Variational Calculus
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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
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-86521
https://doi.org/10.1115/DETC2009-86521
View Paper titled, Solutions of a Fractional Dirac Equation
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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
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-87367
https://doi.org/10.1115/DETC2009-87367
View Paper titled, A Numerical Scheme and an Error Analysis for a Class of Fractional Optimal Control Problems
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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
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2007-43046
https://doi.org/10.1115/IMECE2007-43046
View Paper titled, Fractional Optimal Control of Distributed Systems
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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
Publisher: American Society of Mechanical Engineers
Paper No: DETC2007-35921
https://doi.org/10.1115/DETC2007-35921
View Paper titled, Fractional Optimal Control of a Distributed System Using Eigenfunctions
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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
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. April 2009, 131(2): 021012.
https://doi.org/10.1115/1.3025833
Published Online: February 19, 2009
View Article titled, Fractional Optimal Control of Continuum Systems
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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
Publisher: American Society of Mechanical Engineers
Paper No: DETC2005-84493
https://doi.org/10.1115/DETC2005-84493
View Paper titled, Numerical Scheme for the Solution of Fractional Differential Equations of Order Greater Than 1
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2008, 3(2): 021204.
https://doi.org/10.1115/1.2833873
Published Online: February 4, 2008
View Article titled, Fractional Optimal Control of a Distributed System Using Eigenfunctions
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Topics: Eigenfunctions, Optimal control