The local fractional variational iteration method a promising technology for fractional calculus
Thermal Science, 2020 In order to make the local variational iteration algorithm converge faster and more effective, the Sumudu transform is adopted and a proper initial solution is chosen. Some examples are given to show that the presented method is reliable, efficient and easy to implement from a computational viewpoint.
openaire +2 more sources
Local fractional variational iteration transform method to solve partial differential equations arising in mathematical physics [PDF]
International Journal of Advances in Applied Mathematics and Mechanics, 2015 Hassan Kamil Jassim
doaj +1 more source
A Total Fractional-Order Variation Model for Image Restoration with Non-homogeneous Boundary Conditions and its Numerical Solution [PDF]
, 2015 To overcome the weakness of a total variation based model for image restoration, various high order (typically second order) regularization models have been proposed and studied recently.
Chen, Ke, Zhang, Jianping
core +2 more sources
Local Fractional Laplace Variational Iteration Method for Nonhomogeneous Heat Equations Arising in Fractal Heat Flow [PDF]
Mathematical Problems in Engineering, 2014 The local fractional Laplace variational iteration method is used for solving the nonhomogeneous heat equations arising in the fractal heat flow. The approximate solutions are nondifferentiable functions and their plots are also given to show the accuracy and efficiency to implement the previous method.
Xu, Shu +5 more
openaire +1 more source
Abstract and Applied Analysis, 2016 We used the local fractional variational iteration transform method (LFVITM) coupled by the local fractional Laplace transform and variational iteration method to solve three-dimensional diffusion and wave equations with local fractional derivative ...
Hassan Kamil Jassim
doaj +1 more source
Analytical approximate solution for inhomogeneous wave equation on cantor sets by local fractional variational iteration method [PDF]
International Journal of Advances in Applied Mathematics and Mechanics, 2015 Hassan Kamil Jassim
doaj +1 more source
Entropy, 2016 In this paper, we consider the local fractional decomposition method, variational iteration method, and differential transform method for analytic treatment of linear and nonlinear local fractional differential equations, homogeneous or nonhomogeneous ...
Hossein Jafari +3 more
doaj +1 more source
Information-theoretic approaches to atoms-in-molecules : Hirshfeld family of partitioning schemes [PDF]
, 2017 Many population analysis methods are based on the precept that molecules should be built from fragments (typically atoms) that maximally resemble the isolated fragment.
Ayers, Paul W +5 more
core +2 more sources
LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD FOR SOLVING VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITHIN LOCAL FRACTIONAL OPERATORS [PDF]
Journal of Mathematics and Statistics, 2014 The paper uses the Local fractional variational Iteration Method for solving the second kind Volterra integro-differential equations within the local fractional integral operators. The analytical solutions within the non-differential terms are discussed. Some illustrative examples will be discussed.
openaire +1 more source
Neural-Network Quantum States, String-Bond States, and Chiral Topological States
, 2018 Neural-Network Quantum States have been recently introduced as an Ansatz for describing the wave function of quantum many-body systems. We show that there are strong connections between Neural-Network Quantum States in the form of Restricted Boltzmann ...
August, Moritz +4 more
core +2 more sources