Computational analysis of local fractional partial differential equations in realm of fractal calculus
In this paper, a hybrid local fractional technique is applied to some local fractional partial
differential equations. Partial differential equations modeled with local fractional derivatives …
differential equations. Partial differential equations modeled with local fractional derivatives …
A modification fractional variational iteration method for solving non-Linear gas dynamic and coupled Kdv equations involving local fractional operators
In this paper, we apply a new technique, namely local fractional variational iteration
transform method on homogeneous/non-homogeneous non-linear gas dynamic and …
transform method on homogeneous/non-homogeneous non-linear gas dynamic and …
Solving Helmholtz equation with local fractional derivative operators
The paper presents a new analytical method called the local fractional Laplace variational
iteration method (LFLVIM), which is a combination of the local fractional Laplace transform …
iteration method (LFLVIM), which is a combination of the local fractional Laplace transform …
Computational study of a local fractional Tricomi equation occurring in fractal transonic flow
In this paper, we present the application of local fractional methods in combination with the
local fractional Sumudu transform (LFST) for a local fractional Tricomi equation (LFTE). The …
local fractional Sumudu transform (LFST) for a local fractional Tricomi equation (LFTE). The …
A novel approach for Korteweg-de Vries equation of fractional order
In this study, the local fractional variational iteration method (LFVIM) and the local fractional
series expansion method (LFSEM) are utilized to obtain approximate solutions for Korteweg …
series expansion method (LFSEM) are utilized to obtain approximate solutions for Korteweg …
A modification fractional homotopy perturbation method for solving Helmholtz and coupled Helmholtz equations on Cantor sets
In this paper, we apply a new technique, namely, the local fractional Laplace homotopy
perturbation method (LFLHPM), on Helmholtz and coupled Helmholtz equations to obtain …
perturbation method (LFLHPM), on Helmholtz and coupled Helmholtz equations to obtain …
On the approximate solutions of local fractional differential equations with local fractional operators
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 …
method, and differential transform method for analytic treatment of linear and nonlinear local …
Local fractional homotopy analysis method for solving non-differentiable problems on Cantor sets
In this paper, we present a semi-analytic method called the local fractional homotopy
analysis method (LFHAM) for solving differential equations involving local fractional …
analysis method (LFHAM) for solving differential equations involving local fractional …
Local fractional variational iteration transform method: A tool for solving local fractional partial differential equations
In this paper, we use the local fractional variational iteration transform method LFVITM to
solve a class of linear and nonlinear partial differential equations (PDEs), as well as a …
solve a class of linear and nonlinear partial differential equations (PDEs), as well as a …
Approximate solutions of the damped wave equation and dissipative wave equation in fractal strings
In this paper, we apply the local fractional Laplace variational iteration method (LFLVIM) and
the local fractional Laplace decomposition method (LFLDM) to obtain approximate solutions …
the local fractional Laplace decomposition method (LFLDM) to obtain approximate solutions …