Results 31 to 40 of about 15,213 (267)

Tilt-fractional order proportional integral derivative control for DC motor using particle swarm optimization

Electrical engineering & Electromechanics, 2023
Introduction. Recently, the most desired goal in DC motor control is to achieve a good robustness and tracking dynamic of the set-point reference speed of the feedback control system. Problem.
T. Amieur, D. Taibi, S. Kahla, M. Bechouat, M. Sedraoui   +4 more
doaj   +1 more source

Solving General Differential Equations of Fractional Orders Via Rohit Transform [PDF]

Kirkuk Journal of Science
inspecting the attributes of derivatives and integrals of fractional orders known as fractional derivatives and integrals. In this article, a far-out complex integral transform known as the Rohit transform (RT) is put into use for working out general ...
Rohit Gupta, Rahul Gupta, Dinesh Verma
doaj   +1 more source

Theory of Functional Connections Extended to Fractional Operators

Mathematics, 2023
The theory of functional connections, an analytical framework generalizing interpolation, was extended and applied in the context of fractional-order operators (integrals and derivatives).
Daniele Mortari, Roberto Garrappa, Luigi Nicolò   +2 more
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On a Fractional Operator Combining Proportional and Classical Differintegrals

Mathematics, 2020
The Caputo fractional derivative has been one of the most useful operators for modelling non-local behaviours by fractional differential equations. It is defined, for a differentiable function f ( t ) , by a fractional integral operator applied to
Dumitru Baleanu, Arran Fernandez, Ali Akgül   +2 more
doaj   +1 more source

A new Generalized fractional derivative and integral

, 2017
In this article, we introduce a new general definition of fractional derivative and fractional integral, which depends on an unknown kernel. By using these definitions, we obtain the basic properties of fractional integral and fractional derivative such as Product Rule, Quotient Rule, Chain Rule, Roll's Theorem and Mean Value Theorem.
AKKURT, Abdullah, YILDIRIM, Merve Esra, YILDIRIM, Hüseyin   +2 more
openaire   +3 more sources

Mellin transforms of generalized fractional integrals and derivatives [PDF]

Applied Mathematics and Computation, 2015
We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann-Liouville and the Hadamard fractional integrals and derivatives. We also obtain interesting results, which combine generalized $δ_{r,m}$ operators with generalized Stirling numbers and Lah numbers.
openaire   +3 more sources

Taylor’s formula involving generalized fractional derivatives [PDF]

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Study of generalized type K-fractional derivatives [PDF]

Advances in Difference Equations, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Azam, M. K., Farid, G., Rehman, M. A.
openaire   +2 more sources

On an Analogy of Fermat’s Theorem for the First-Level General Fractional Derivative and Its Applications

Fractal and Fractional
Fermat’s theorem, often referred to as the interior extrema theorem, is one of the fundamental results in calculus and optimization theory. Recently, the statement of this theorem has been generalized to the case of fractional derivatives.
Mohammed Al-Refai, Yuri Luchko
doaj   +1 more source

Time-Fractional Differential Equations with an Approximate Solution

Journal of Nigerian Society of Physical Sciences, 2022
This paper shows how to use the fractional Sumudu homotopy perturbation technique (SHP) with the Caputo fractional operator (CF) to solve time fractional linear and nonlinear partial differential equations.
Lamees K. Alzaki, Hassan Kamil Jassim
doaj   +1 more source