Results 31 to 40 of about 59,224 (329)
The Variable-Order Fractional Calculus of Variations
, 2018 This book intends to deepen the study of the fractional calculus, giving special emphasis to variable-order operators. It is organized in two parts, as follows. In the first part, we review the basic concepts of fractional calculus (Chapter 1) and of the
Almeida, Ricardo +2 more
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Partial Differential Equations in Applied MathematicsThe dynamics of viscous fluids may be elucidated via the Navier–Stokes equations, which create a fundamental relationship between the exertion of external forces upon fluid motion and the resultant fluid pressure.
P. Dunnimit +2 more
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Partial Differential Equations in Applied MathematicsThe Navier–Stokes equations describe the behavior of viscous fluids and establish a fundamental connection between the application of external forces on fluid motion and the resulting pressure within the fluid. The objective of this study is to solve the
W. Sawangtong +3 more
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N-FRACTIONAL CALCULUS OPERATOR METHOD TO THE EULER EQUATION
Проблемы анализа, 2018 We can obtain the explicit solutions of the Euler equation by using the fractional calculus methods. So, we apply the N operator method in the fractional calculus to solve this equation in this paper.
R. Yilmazer, O. Ozturk
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Weighted Fractional Calculus: A General Class of Operators
Fractal and Fractional, 2022 We conduct a formal study of a particular class of fractional operators, namely weighted fractional calculus, and its extension to the more general class known as weighted fractional calculus with respect to functions.
Arran Fernandez, Hafiz Muhammad Fahad
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Joining Spacetimes on Fractal Hypersurfaces
, 2018 The theory of fractional calculus is attracting a lot of attention from mathematicians as well as physicists. The fractional generalisation of the well-known ordinary calculus is being used extensively in many fields, particularly in understanding ...
Anand, Ankit, Chatterjee, Ayan
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A survey on fractional order control techniques for unmanned aerial and ground vehicles [PDF]
, 2019 In recent years, numerous applications of science and engineering for modeling and control of unmanned aerial vehicles (UAVs) and unmanned ground vehicles (UGVs) systems based on fractional calculus have been realized.
Cajo Diaz, Ricardo Alfredo +5 more
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Fractional-calculus diffusion equation [PDF]
Nonlinear Biomedical Physics, 2010 Sequel to the work on the quantization of nonconservative systems using fractional calculus and quantization of a system with Brownian motion, which aims to consider the dissipation effects in quantum-mechanical description of microscale systems.The canonical quantization of a system represented classically by one-dimensional Fick's law, and the ...
Hussam Alrabaiah, Abdul-Wali Ajlouni
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Bielecki-Ulam stability of a hammerstein-type difference system
MethodsXIn this study, we investigate the Bielecki-Ulam (B-U) stabilities of two forms of Hammerstein-type difference systems (HT-DS). Specifically, we consider the systems:(0.1){xm+1−xm=M¯mxm+F¯(m,xm,xhm)[∑[j=0][m]G¯(m,j)H¯(j,xj,xhj)]x0=b0,and(0.2){xm+1−xm=M ...
Gul Rahmat +5 more
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Fractional Calculus in Mexico: The 5th Mexican Workshop on Fractional Calculus (MWFC)
Computer Sciences & Mathematics Forum, 2023 The Mexican Workshop on Fractional Calculus (MWFC) is a bi-annual international workshop and the largest Latin American technical event in the field of fractional calculus in Mexico [...]
Jorge M. Cruz-Duarte +1 more
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