Results 21 to 30 of about 73,704 (233)

Abstract Univariate Neural Network Approximation Using a q-Deformed and λ-Parametrized Hyperbolic Tangent Activation Function

Fractal and Fractional, 2023
In this work, we perform univariate approximation with rates, basic and fractional, of continuous functions that take values into an arbitrary Banach space with domain on a closed interval or all reals, by quasi-interpolation neural network operators ...
George A. Anastassiou
doaj   +1 more source

Fractional order PI λD μ controller with optimal parameters using Modified Grey Wolf Optimizer for AVR system [PDF]

Archives of Control Sciences, 2022
In this paper, an automatic voltage regulator (AVR) embedded with fractional order PID (FOPID) is employed for the alternator terminal voltage control.
Santosh Kumar Verma, Ramesh Devarapalli
doaj   +1 more source

Analytical Solutions for the Equal Width Equations Containing Generalized Fractional Derivative Using the Efficient Combined Method

International Journal of Differential Equations, 2021
In this paper, the efficient combined method based on the homotopy perturbation Sadik transform method  (HPSTM) is applied to solve the physical and functional equations containing the Caputo–Prabhakar fractional derivative.
Mohammadhossein Derakhshan
doaj   +1 more source

A Note on Caputo’s Derivative Operator Interpretation in Economy

Journal of Applied Mathematics, 2018
We propound the economic idea in terms of fractional derivatives, which involves the modified Caputo’s fractional derivative operator. The suggested economic interpretation is based on a generalization of average count and marginal value of economic ...
Hameed Ur Rehman, Maslina Darus, Jamal Salah   +2 more
doaj   +1 more source

Hilfer-Prabhakar Derivatives and Some Applications

, 2014
We present a generalization of Hilfer derivatives in which Riemann--Liouville integrals are replaced by more general Prabhakar integrals. We analyze and discuss its properties.
Garra, Roberto, Gorenflo, Rudolf, Polito, Federico, Tomovski, Zivorad   +3 more
core   +1 more source

Existence and Uniqueness of Positive Solutions of Boundary-Value Problems for Fractional Differential Equations with p-Laplacian Operator and Identities on the Some Special Polynomials

Journal of Function Spaces and Applications, 2013
We consider the following boundary-value problem of nonlinear fractional differential equation with p-Laplacian operator D0+β(ϕp(D0+αu(t)))+a(t)f(u)=0 ...
Erdoğan Şen, Mehmet Acikgoz, Jong Jin Seo, Serkan Araci, Kamil Oruçoğlu   +4 more
doaj   +1 more source

Back to Basics: Meaning of the Parameters of Fractional Order PID Controllers

Mathematics, 2019
The beauty of the proportional-integral-derivative (PID) algorithm for feedback control is its simplicity and efficiency. Those are the main reasons why PID controller is the most common form of feedback.
Inés Tejado, Blas M. Vinagre, José Emilio Traver, Javier Prieto-Arranz, Cristina Nuevo-Gallardo   +4 more
doaj   +1 more source

Space-time duality for fractional diffusion

, 2009
Zolotarev proved a duality result that relates stable densities with different indices. In this paper, we show how Zolotarev duality leads to some interesting results on fractional diffusion.
Allouba, Baeumer, Becker-Kern, Bertoin, Boris Baeumer, Burdzy, Erkan Nane, Feller, Hille, Lukacs, Mark M. Meerschaert, Meerschaert, Miller, Orsingher, Podlubny, Samko, Samorodnitsky, Scalas, Zolotarev   +18 more
core   +1 more source

Fractional Operators, Dirichlet Averages, and Splines

, 2013
Fractional differential and integral operators, Dirichlet averages, and splines of complex order are three seemingly distinct mathematical subject areas addressing different questions and employing different methodologies. It is the purpose of this paper
A. Kilbas, A. Pinkus, A. Shiryayev, A. Zemanian, B. Carlson, B. Carlson, B. Carlson, B. Carlson, B. Forster, B. Forster, B. Forster, B. Forster, B. Forster, B. Forster, B. Forster, C. Micchelli, D. Baleanu, E. Hille, E. Neuman, G. Anastassiou, I. Podlubny, M. Ortigueira, M. Troyanov, M. Unser, M. Unser, P. Butzer, P. Massopust, P. Massopust, P. Massopust, R. Dantry, R. Hilfer, S. Karlin, S. Samko, S. Samko, S.F. Karlin, U. Westphal, V. Zheludev, W. Dahmen   +37 more
core   +1 more source

EDNRB‐dependent endothelin signaling reduces proliferation and promotes proneural‐to‐mesenchymal transition in gliomas

Molecular Oncology, EarlyView.
Glioma cells mainly express the endothelin receptor EDNRB, while EDNRA is restricted to a perivascular tumor subpopulation. Endothelin signaling reduces glioma cell proliferation while promoting migration and a proneural‐to‐mesenchymal transition associated with poor prognosis. This pathway activates Ca2+, K+, ERK, and STAT3 signalings and is regulated
Donovan Pineau, Leonor Garcia, Hugo Arnold, Antonija Hanžek, Maialen Arrieta, Laurent R Gauthier, Christine Granotier‐Beckers, François D Boussin, Amaury Herbet, Marie Hautière, Valentin Asei‐Ceschino, Clémentin Jacques, Laura Brard, Thomas Harnois, Valérie Coronas, Bruno Constantin, Aurélien Chatelier, Jean Chemin, Serge Urbach, Martial Seveno, Szimonetta Hideg, Chantal Ripoll, Kasandra Aguilar‐Cázarez, Min Zheng, Guo‐Hao Huang, Sheng‐Qing Lv, Lei Zhang, Philippe Rondard, Laurent Prezeau, Jean‐Philippe Pin, Hugues Duffau, Luc Bauchet, Valérie Rigau, Franck Denat, Charles Truillet, Didier Boquet, Jean‐Philippe Hugnot   +36 more
wiley   +1 more source