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Keywords: fractional differential equations
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2024, 19(12): 121003.
Paper No: CND-24-1099
Published Online: September 21, 2024
...Yash Vats; Mani Mehra; Dietmar Oelz; Abhishek Kumar Singh This paper studies a sparse reconstruction-based approach to learn time–space fractional differential equations (FDEs), i.e., to identify parameter values and particularly the order of the fractional derivatives. The approach uses...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2024, 19(11): 111007.
Paper No: CND-24-1010
Published Online: September 13, 2024
...Kerboua Mourad; Bouacida Ichrak; Segni Sami This paper is concerned with the approximate controllability of Sobolev-type ( k , ψ ) − Hilfer fractional differential equations (FDEs) with control and Sobolev-type ( k , ψ ) − Hilfer fractional initial conditions in Hilbert spaces. By means of two...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2020, 15(5): 051003.
Paper No: CND-18-1118
Published Online: March 27, 2020
... of stochastic solvers and to develop a new AI algorithm with the benefits of better precision and lesser computational costs. Computational intelligence algorithm based on artificial neural networks (ANNs) model is developed and successfully applied for linear and nonlinear fractional differential equation...
Topics:
Algorithms,
Artificial neural networks,
Modeling,
Quadratic programming,
Weight (Mass),
Fluid mechanics,
Particle swarm optimization,
Errors
Includes: Supplementary data
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2015, 10(1): 011014.
Paper No: CND-13-1192
Published Online: October 13, 2014
...-order elements fractional calculus fractional differential equations This paper considers the energy aspects of fractional-order elements defined by the equation: force is proportional to the fractional-order derivative of displacement, with order varying from zero to two. In contrast...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2011, 6(2): 021004.
Published Online: October 21, 2010
... -trigonometric functions further infer fractional differential equations, which, based on power law parametric functions, are used to develop a fractional growth equation modeling evolution from conception to maturity. An important aspect of this work is that it demonstrates a method of determination...