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Fractional Calculus of Variations for Composed Functionals with Generalized Derivatives

Fractal and Fractional
This paper extends the fractional calculus of variations to include generalized fractional derivatives with dependence on a given kernel, encompassing a wide range of fractional operators.
Ricardo Almeida
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The nonlocal bistable equation: Stationary solutions on a bounded interval

Electronic Journal of Differential Equations, 2002
We discuss instability and existence issues for the nonlocal bistable equation. This model arises as the Euler-Lagrange equation of a nonlocal, van der Waals type functional.
Adam J. J. Chmaj, Xiaofeng Ren
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Kinematic modeling and simulation of dual-sided shaper machine using Newton-Euler and Lagrangian approaches. [PDF]

Sci Rep
Gutata GR, Kebede GA, Abbera GH.
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Lagrangian multiforms and dispersionless integrable systems. [PDF]

Lett Math Phys
Ferapontov EV, Vermeeren M.
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Residual-learning-enhanced extended Kalman filter for real-time swing angle estimation in quadrotor-suspended-payload systems. [PDF]

Sci Rep
Zhang Y, Shen J, Qiu H, Sha M.
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Metadensity Functional Learning for Classical Fluids: Regularizing with Pair Correlations. [PDF]

J Phys Chem B
Kampa SM, Sammüller F, Schmidt M.
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Robust observer-sliding mode composite control for mechanical systems under uncertain disturbances. [PDF]

Sci Rep
Li Q, Hu Y, Fang X.
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Fast Numerical Solvers for Parameter Identification Problems in Mathematical Biology. [PDF]

J Sci Comput
Benková K, Pearson JW, Ptashnyk M.
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