Results 11 to 20 of about 7,145,429 (257)

Fractional transformations of generalised functions [PDF]

, 2009
A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson, Khan, Khaula Naeem, McBride, Adam C.   +2 more
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Fractional calculus of periodic distributions [PDF]

, 2011
Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson, Khan, Khaula Naeem, Mcbride, Adam   +2 more
core   +4 more sources

Perbandingan Torka Cogging Generator Integral dan Fractional untuk Pembangkit Listrik Tenaga Tenaga Angin [PDF]

, 2023
ABSTRAKPenelitian ini membahas penurunan torka cogging pada generator sinkron magnet permanen untuk untuk aplikasi pada pembangkit listrik tenaga angin.
HUTAPEA, DUMA KRISTINA YANTI, MELISA MULYADI, MARCHELL MORDEKHAI HALIM, DUMA KRISTINA YANTI HUTAPEA, ANTHON DE FRETES, FRETES, ANTHON DE, YANASTANTO, GUSTIESAR ALBARRY, HALIM, MARCHELL MORDEKHAI, MULYADI, MELISA, GUSTIESAR ALBARRY YANASTANTO, TAJUDDIN NUR, NUR, TAJUDDIN   +11 more
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]

, 2012
This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
core   +1 more source

Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators [PDF]

, 2021
In this paper, we introduce the generalized left-side and right-side fractional integral operators with a certain modified ML kernel. We investigate the Chebyshev inequality via this general family of fractional integral operators.
Mohammed, Pshtiwan Othman, Nonlaopon, Kamsing, Kashuri, Artion, Srivastava, H.M.   +3 more
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Numerical solution of Atangana–Baleanu–Caputo time-space fractional diffusion equation

Arab Journal of Basic and Applied Sciences, 2022
In this article, the time-space fractional diffusion equation is solved by using the fractional operator in Atangana–Baleanu–Caputo (ABC) sense based on the Mittag-Leffler function involving non-singular and non-local kernels.
Saira Siddiqui, Saima Parveen, Sadia Arshad   +2 more
doaj   +1 more source

Fractional variational problems depending on indefinite integrals [PDF]

, 2012
We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor, Pooseh, S., Almeida, R., Almeida, Ricardo, Delfim F.M. Torres, Shakoor Pooseh, Torres, D.F.M., Ricardo Almeida, Torres, Delfim F. M.   +8 more
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Modified Homotopy Perturbation Method and Approximate Solutions to a Class of Local Fractional Integrodifferential Equations

Advances in Mathematical Physics, 2022
In this paper, the local fractional version of homotopy perturbation method (HPM) is established for a new class of local fractional integral-differential equation (IDE). With the embedded homotopy parameter monotonously changing from 0 to 1, the special
Bo Xu, Sheng Zhang
doaj   +1 more source

Methods for Solving Some Fractional Integral

, 2023
: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, we evaluate some fractional integral. The main methods we used are fractional L’Hospital’s rule, integration by parts for fractional calculus, and a new ...
Chii-Huei Yu
core   +1 more source

Mild and classical solutions to a fractional singular second order evolution problem

Electronic Journal of Qualitative Theory of Differential Equations, 2012
Existence and uniqueness of mild and classical solutions are discussed for an abstract second-order evolution problem. The nonlinearity contains a local term and a non-local term.
Nasser-Eddine Tatar
doaj   +1 more source