[PDF][PDF] Advanced local fractional calculus and its applications
XJ Yang - 2012 - researchgate.net
This monograph is an invitation both to the interested scientists and the engineers. It
presents a thorough introduction to the recent results of local fractional calculus. It is also …
presents a thorough introduction to the recent results of local fractional calculus. It is also …
[PDF][PDF] Reconstructive schemes for variational iteration method within Yang-Laplace transform with application to fractal heat conduction problem
CF Liu, SS Kong, SJ Yuan - Thermal Science, 2013 - doiserbia.nb.rs
A reconstructive scheme for variational iteration method using the Yang-Laplace transform is
proposed and developed with the Yang-Laplace transform. The identification of fractal …
proposed and developed with the Yang-Laplace transform. The identification of fractal …
Analysis of the family of integral equation involving incomplete types of I and Ī-functions
The present article introduces and studies the Fredholm-type integral equation with an
incomplete I-function (IIF) and an incomplete I¯-function (II¯ F) in its kernel. First, using …
incomplete I-function (IIF) and an incomplete I¯-function (II¯ F) in its kernel. First, using …
Shape optimization of conductive-media interfaces using an IGA-BEM solver
In this paper, we present a method that combines the Boundary Element Method (BEM) with
IsoGeometric Analysis (IGA) for numerically solving the system of Boundary Integral …
IsoGeometric Analysis (IGA) for numerically solving the system of Boundary Integral …
On the Solutions of a Class of Integral Equations Pertaining to Incomplete H-Function and Incomplete H-Function
The main aim of this article is to study the Fredholm-type integral equation involving the
incomplete H-function (IHF) and incomplete H-function in the kernel. Firstly, we solve an …
incomplete H-function (IHF) and incomplete H-function in the kernel. Firstly, we solve an …
[PDF][PDF] Local fractional adomian decomposition method for solving two dimensional heat conduction equations within local fractional operators
In this paper, the two-dimensional heat conduction equations with local fractional derivative
operators are investigated. Analytical solutions are obtained by using the local fractional …
operators are investigated. Analytical solutions are obtained by using the local fractional …
A numerical approach technique for solving generalized delay integro-differential equations with functional bounds by means of Dickson polynomials
In this study, we have considered the linear classes of differential-(difference), integro-
differential-(difference) and integral equations by constituting a generalized form, which …
differential-(difference) and integral equations by constituting a generalized form, which …
Numerical solution for three-dimensional nonlinear mixed Volterra–Fredholm integral equations via modified moving least-square method
Z El Majouti, R El Jid, A Hajjaj - International Journal of Computer …, 2022 - Taylor & Francis
The major purpose of this article is to expand the three-dimensional (3D) modified moving
least-square method for the numerical solution of 3D linear and nonlinear Volterra …
least-square method for the numerical solution of 3D linear and nonlinear Volterra …
Picard successive approximation method for solving differential equations arising in fractal heat transfer with local fractional derivative
The Fourier law of one‐dimensional heat conduction equation in fractal media is
investigated in this paper. An approximate solution to one‐dimensional local fractional …
investigated in this paper. An approximate solution to one‐dimensional local fractional …
An inventive numerical method for solving the most general form of integro-differential equations with functional delays and characteristic behavior of orthoexponential …
In this study, we constitute the most general form of functional integro-differential equations
with functional delays. An inventive method based on Dickson polynomials with the …
with functional delays. An inventive method based on Dickson polynomials with the …