Results 31 to 40 of about 2,668,291 (311)

Differential transform method for conformable fractional partial differential equations [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2019
We expand a new generalization of the two-dimensional differential trans form method. The new generalization is based on the two-dimensional differential transform method, fractional power series expansions, and conformable fractional derivative.
M. Eslami, S.A. Taleghani
doaj   +1 more source

Comparison of third-order fractional partial differential equation based on the fractional operators using the explicit finite difference method

Alexandria Engineering Journal, 2023
In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla, Sadeq Taha Abdulazeez, Mahmut Modanli   +2 more
doaj   +1 more source

Application of Fractional Laplace Transform Method in Solving Linear Systems of Fractional Differential Equations

, 2022
: Based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, this paper provides several examples to illustrate how to use fractional Laplace transform to find the solution of linear system of fractional differential equations.
Chii-Huei Yu
core   +1 more source

Application of two different algorithms to the approximate long water wave equation with conformable fractional derivative

Arab Journal of Basic and Applied Sciences, 2018
The current paper devoted on two different methods to find the exact solutions with various forms including hyperbolic, trigonometric, rational and exponential functions of fractional differential equations systems with conformable farctional derivative.
Melike Kaplan, Arzu Akbulut
doaj   +1 more source

Neural fractional differential equations

Applied Mathematical Modelling
Fractional Differential Equations (FDEs) are essential tools for modelling complex systems in science and engineering. They extend the traditional concepts of differentiation and integration to non-integer orders, enabling a more precise representation of processes characterised by non-local and memory-dependent behaviours.
C. Coelho, M. Fernanda P. Costa, L.L. Ferrás   +2 more
openaire   +3 more sources

Existence results of positive solutions to fractional differential equation with integral boundary conditions [PDF]

, 2010
summary:In this paper we consider the existence, multiplicity, and nonexistence of positive solutions to fractional differential equation with integral boundary conditions.
Zhang, Shuqin
core   +1 more source

On the stability of a hyperbolic fractional partial differential equation

, 2020
In this paper, the psi-Riemann-Liouville fractional partial integral and the psi-Hilfer fractional partial derivative are introduced and some of its particular cases are recovered.
Capelas de Oliveira, E., Sousa, J. Vanterler da C.   +1 more
core   +1 more source

The Extended Trial Equation Method for Some Time Fractional Differential Equations

Discrete Dynamics in Nature and Society, 2013
Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the ...
Yusuf Pandir, Yusuf Gurefe, Emine Misirli   +2 more
doaj   +1 more source

On the solution of the space-time fractional cubic nonlinear Schrödinger equation

Results in Physics, 2018
The space–time fractional nonlinear Schrödinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model.
E.A. Yousif, E.A-B. Abdel-Salam, M.A. El-Aasser   +2 more
doaj   +1 more source

Exact solutions of the conformable fractional EW and MEW equations by a new generalized expansion method

Journal of Ocean Engineering and Science, 2020
In this paper, we used the generalized (G'/G)-expansion method to construct exact solutions for conformable fractional nonlinear partial differential equations.
Muhannad A. Shallal, Khalid K. Ali, Kamal R. Raslan, Hadi Rezazadeh, Ahmet Bekir   +4 more
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