Results 11 to 20 of about 2,263,291 (335)

Sumudu transform series expansion method for solving the local fractional Laplace equation in fractal thermal problems

open access: gold, 2016
In this article, the Sumudu transform series expansion method is used to handle the local fractional Laplace equation arising in the steady fractal heat-transfer problem via local fractional calculus.
Zhenghong Guo, Omer Acan, Sunil Kumar
openalex   +3 more sources

Economic models involving time fractal [PDF]

open access: yesMathematics and Modeling in Finance, 2021
In this article, the price adjustment equation has been proposed and studied in the frame of fractal calculus which plays an important role in market equilibrium.
Alireza Khalili Golmankhaneh   +3 more
doaj   +1 more source

Approximate solution of initial boundary value problems for ordinary differential equations with fractal derivative

open access: yesMathematical Modelling and Control, 2022
Fractal ordinary differential equations are successfully established by He's fractal derivative in a fractal space, and their variational principles are obtained by semi-inverse transform method.Taylor series method is used to solve the given fractal ...
Yi Tian
doaj   +1 more source

A powerful and simple frequency formula to nonlinear fractal oscillators

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2021
In this work, a fractal nonlinear oscillator is successfully established by fractal derivative in a fractal space, and its variational principle is obtained by semi-inverse transform method.
Kang-Le Wang, Chun-Fu Wei
doaj   +1 more source

Development and analysis of IWT-SVD and DWT-SVD steganography using fractal cover

open access: yesJournal of King Saud University: Computer and Information Sciences, 2022
The assurance of secret data transmitted over the Internet and confining its access to explicit grouped information has become a significant security and protection issue.
Asha Durafe, Vinod Patidar
doaj   +1 more source

Improving the signal subtle feature extraction performance based on dual improved fractal box dimension eigenvectors [PDF]

open access: yesRoyal Society Open Science, 2018
Because of the limitations of the traditional fractal box-counting dimension algorithm in subtle feature extraction of radiation source signals, a dual improved generalized fractal box-counting dimension eigenvector algorithm is proposed.
Xiang Chen   +3 more
doaj   +1 more source

Exact steady-state solution of fractals damped, and forced systems

open access: yesResults in Physics, 2021
In this article, the methodology for deriving the exact steady-state solutions of forced oscillatory systems has been extended to obtain the solution of fractal damped and forced differential equations using the two-scale fractal dimension transform ...
Alex Elías-Zúñiga   +3 more
doaj   +1 more source

He’s frequency formula to fractal undamped Duffing equation

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2021
Nonlinear oscillation is an increasingly important and extremely interesting topic in engineering. This article completely reviews a simple method proposed by Ji-Huan He and successfully establishes a fractal undamped Duffing equation through the two ...
Guang-Qing Feng
doaj   +1 more source

Two-scale transform for 2-D fractal heat equation in a fractal space

open access: yesThermal Science, 2021
A 2-D fractal heat conduction in a fractal space is considered by He?s fractal derivative. The two-scale transform is adopted to convert the fractal model to its differential partner.
Chunfu Wei
semanticscholar   +1 more source

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