New perspective on the conventional solutions of the nonlinear time‐fractional partial differential equations
The role of integer and noninteger order partial differential equations (PDE) is essential in
applied sciences and engineering. Exact solutions of these equations are sometimes difficult …
applied sciences and engineering. Exact solutions of these equations are sometimes difficult …
[PDF][PDF] Fractal heat conduction problem solved by local fractional variation iteration method
FRACTAL HEAT CONDUCTION PROBLEM SOLVED BY LOCAL FRACTIONAL VARIATION
ITERATION METHOD Page 1 Open forum FRACTAL HEAT CONDUCTION PROBLEM SOLVED …
ITERATION METHOD Page 1 Open forum FRACTAL HEAT CONDUCTION PROBLEM SOLVED …
The modified trial equation method for fractional wave equation and time fractional generalized Burgers equation
The fractional partial differential equations stand for natural phenomena all over the world
from science to engineering. When it comes to obtaining the solutions of these equations …
from science to engineering. When it comes to obtaining the solutions of these equations …
[HTML][HTML] Variational iteration method for the Burgers' flow with fractional derivatives—new Lagrange multipliers
The flow through porous media can be better described by fractional models than the
classical ones since they include inherently memory effects caused by obstacles in the …
classical ones since they include inherently memory effects caused by obstacles in the …
A new analysis of the Fornberg-Whitham equation pertaining to a fractional derivative with Mittag-Leffler-type kernel
The mathematical model of breaking of non-linear dispersive water waves with memory
effect is very important in mathematical physics. In the present article, we examine a novel …
effect is very important in mathematical physics. In the present article, we examine a novel …
Computational study of multi-species fractional reaction-diffusion system with ABC operator
KM Owolabi, A Atangana - Chaos, Solitons & Fractals, 2019 - Elsevier
In this paper, a competition model which describes the spatial interaction among three
species in nonlinear fashion is considered. In the model, the standard time derivative is …
species in nonlinear fashion is considered. In the model, the standard time derivative is …
Numerical method for solving fractional coupled Burgers equations
In this paper, we use the fractional variational iteration method (FVIM) to solve a time-and
space-fractional coupled Burgers equations. Some numerical examples are presented to …
space-fractional coupled Burgers equations. Some numerical examples are presented to …
[HTML][HTML] Laplace transform-homotopy perturbation method for fractional time diffusive predator–prey models in ecology
KM Owolabi, E Pindza, B Karaagac, G Oguz - Partial Differential Equations …, 2024 - Elsevier
In this paper, we consider some reaction–diffusion systems arising from two-component
predator–prey models with various kinetics ranging from prey-dependent, ratio-dependent …
predator–prey models with various kinetics ranging from prey-dependent, ratio-dependent …
[HTML][HTML] Alternative variational iteration method for solving the time-fractional Fornberg–Whitham equation
In this study, we apply an alternative variational iteration method to solve the time-fractional
Fornberg–Whitham equation. A comparison between the results obtained using the …
Fornberg–Whitham equation. A comparison between the results obtained using the …
A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation
W Jiang, Z Chen - Numerical Methods for Partial Differential …, 2014 - Wiley Online Library
In this article, we proposed a collocation method based on reproducing kernels to solve a
modified anomalous subdiffusion equation problem. We give constructively the‐approximate …
modified anomalous subdiffusion equation problem. We give constructively the‐approximate …