Analysis of fractional viewpoints on the Jaulent–Miodek and Whitham–Broer–Kaup coupled equations
In this work, we use the Caputo fractional calculus to methodically examine the Coupled Jaulent–Miodek (CJM) fractional equation and the fractional Whitham–Broer–Kaup (WBK) system.
Sachit Kumar, Varun Joshi, Mamta Kapoor
doaj +1 more source
Approximate solution of Newell-Whitehead-Segel model with time-fractional derivative. [PDF]
Liu J, Nadeem M, Alsayyad Y.
europepmc +1 more source
Modified conformable double Laplace-Sumudu approach with applications. [PDF]
Ahmed SA, Saadeh R, Qazza A, Elzaki TM.
europepmc +1 more source
Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method. [PDF]
Jamal N +4 more
europepmc +1 more source
Homotopy Series Solutions to Time-Space Fractional Coupled Systems
We apply the homotopy perturbation Sumudu transform method (HPSTM) to the time-space fractional coupled systems in the sense of Riemann-Liouville fractional integral and Caputo derivative.
Jin Zhang +3 more
doaj +1 more source
New Results on the Conformable Fractional Sumudu Transform: Theories and Applications
In this paper, we generalize the formula of Sumudu transform to the conformable fractional order and some interesting and important rules of this transform and conformable fractional Laplace transform are derived and discussed.
Zeyad Al-Zhour +3 more
doaj +2 more sources
A Note on non-Newtonian Sumudu Transform
The aim of this study is to demonstrate the properties of the non-Newtonian Sumudu transform, which are required to investigate the solutions of non-Newtonian differential equations with variable coefficients by using the non-Newtonion Sumudu transform.
Nagi̇han Di̇nç, Ni̇han Güngör
openaire +1 more source
A new Sumudu transform iterative method for time-fractional Cauchy reaction-diffusion equation. [PDF]
Wang K, Liu S.
europepmc +1 more source
Application of Yang homotopy perturbation transform approach for solving multi-dimensional diffusion problems with time-fractional derivatives. [PDF]
Liu J, Nadeem M, Iambor LF.
europepmc +1 more source

