Results 1 to 10 of about 3,864,910 (288)

Analytic solution for the space-time fractional Klein-Gordon and coupled conformable Boussinesq equations

Results in Physics, 2018
In this paper, we constructed a travelling wave solution for space-time fractional nonlinear partial differential equations by using the modified extended Tanh method with Riccati equation.
Muhannad A. Shallal, Hawraz N. Jabbar, Khalid K. Ali   +2 more
doaj   +1 more source

Variational iteration method combined with new transform to solve fractional partial differential equations

Universal Journal of Mathematics and Applications, 2018
The aim of this paper is to combined the variational iteration method with Aboodh transform method to solve linear and nonlinear fractional partial differential equations.
Mountassir Hamdi Cherif, Djelloul Ziane
doaj   +1 more source

A medical image enhancement based on generalized class of fractional partial differential equations. [PDF]

Quant Imaging Med Surg, 2022
Ibrahim RW, Jalab HA, Karim FK, Alabdulkreem E, Ayub MN.   +4 more
europepmc   +1 more source

Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations

Journal of Applied Mathematics, 2013
We implement relatively analytical techniques, the homotopy perturbation method, and variational iteration method to find the approximate solutions for time and space fractional Benjamin-Bona Mahony equation. The fractional derivatives are described in
Khaled A. Gepreel, Taher A. Nofal, Fawziah M. Alotaibi   +2 more
doaj   +1 more source

Homotopy perturbation method with modified Riemann –Liouville derivative for solving fractional- time partial differential equations

مجلة علوم ذي قار, 2019
The aim of this paper is to present an efficient and reliable treatment of the Homotopy perturbation method (HPM) and the modified Riemann –Liouville derivative for partial differential equations with fractional time derivative.
Abeer Majeed
doaj  

Exact solutions for a class of space-time fractional mixed (1+1)-dimensional KdV equations

四川大学学报. 自然科学版, 2018
Exact solutions of a class of space-time fractional mixed (1+1)-dimensional KdV equations with modified Riemann-Liouville fractional derivative are considered.
LI Lin-Fang, SHU Ji, WEN Hui-Xia
doaj  

Approximate Analytical Solutions of the Time-Fractional Swift–Hohenberg Equation via Yang Transform Adomian Decomposition Method

Journal of Applied Mathematics
This study examines approximate analytical solutions of the time-fractional Swift–Hohenberg equation involving the Caputo–Fabrizio fractional derivative.
Mustafa Ahmed Ali, Mehmet Merdan
doaj   +1 more source

Stable numerical results to a class of time-space fractional partial differential equations via spectral method. [PDF]

J Adv Res, 2020
Shah K, Jarad F, Abdeljawad T.
europepmc   +1 more source

Employing the Laplace Residual Power Series Method to Solve (1+1)- and (2+1)-Dimensional Time-Fractional Nonlinear Differential Equations

Fractal and Fractional
In this paper, we present a highly efficient analytical method that combines the Laplace transform and the residual power series approach to approximate solutions of nonlinear time-fractional partial differential equations (PDEs).
Adel R. Hadhoud, Abdulqawi A. M. Rageh, Taha Radwan   +2 more
doaj   +1 more source

Mathematical frameworks for investigating fractional nonlinear coupled Korteweg-de Vries and Burger’s equations

Frontiers in Physics
This article utilizes the Aboodh residual power series and Aboodh transform iteration methods to address fractional nonlinear systems. Based on these techniques, a system is introduced to achieve approximate solutions of fractional nonlinear Korteweg-de ...
Saima Noor, Saima Noor, Wedad Albalawi, Rasool Shah, M. Mossa Al-Sawalha, Sherif M. E. Ismaeel, Sherif M. E. Ismaeel   +6 more
doaj   +1 more source