Results 81 to 90 of about 9,528 (243)
Lagrangians with linear velocities within Riemann-Liouville fractional derivatives [PDF]
Il Nuovo Cimento B, 2004 7 pages, LATEX,accepted for publication in Il Nuovo Cimento ...
Dumitru Băleanu, T. Avkar
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Optimal Control Applications and Methods, EarlyView.Hybrid Algorithm‐Based Optimal FOPI Controller in Three‐phase UPQC system ABSTRACT Time delay (TD) is a common phenomenon in practical systems. Most studies have focused on the classical notion of integer‐order TD. However, it should not be neglected that the delay can also be noninteger.
Erdinç Şahin
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The Harnack inequality for the Riemann-Liouville fractional derivation operator [PDF]
Mathematical Inequalities & Applications, 2011 In this note we establish the Harnack inequality for the Riemann-Liouville fractional derivation operator ∂ t of order α ∈ (0, 1). Here the function under consideration is assumed to be globally nonnegative. We show that the Harnack inequality in general fails if this global positivity assumption is replaced by a local one.
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On the solution of the space-time fractional cubic nonlinear Schrödinger equation
Results in Physics, 2018 The space–time fractional nonlinear Schrödinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model.
E.A. Yousif +2 more
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Fractional derivative generalization of Noether’s theorem
Open Mathematics, 2015 The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered.
Khorshidi Maryam +2 more
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Quantitative Biology, Volume 13, Issue 3, September 2025.Abstract Alzheimer’s disease (AD) is a common neurodegenerative disorder nowadays. Amyloid‐beta (Aβ) and tau proteins are among the main contributors to the AD progression. In AD, Aβ proteins clump together to form plaques and disrupt cell functions.
Swadesh Pal, Roderick Melnik
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Shock and Vibration, 2013 The paper presents vibration analysis of a simply supported beam with a fractional order viscoelastic material model. The Bernoulli-Euler beam model is considered. The beam is excited by the supports movement.
Jan Freundlich
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12567-12576, August 2025.ABSTRACT The significance of the Jensen inequality stems from its impactful and compelling outcomes. As a generalization of classical convexity, it plays a key role in deriving other well‐known inequalities such as Hermite–Hadamard, Hölder, Minkowski, arithmetic‐geometric, and Young's inequalities.
İzzettin Demir
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Fractional differential repetitive processes with Riemann–Liouville and Caputo derivatives [PDF]
Multidimensional Systems and Signal Processing, 2013 In the paper, we study differential repetitive processes with fractional Riemann---Liouville and Caputo derivatives, in the context of the existence, uniqueness and continuous dependence of solutions on controls. Some applications to controllabilty of such processes are given as well.
Rafał Kamocki, Dariusz Idczak
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Oscillation of solutions to nonlinear forced fractional differential equations
Electronic Journal of Differential Equations, 2013 In this article, we study the oscillation of solutions to a nonlinear forced fractional differential equation. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative.
Qinghua Feng, Fanwei Meng
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