New homotopy analysis transform method for solving multidimensional fractional diffusion equations
Arab Journal of Basic and Applied Sciences, 2020 In this paper, we introduce a new semi-analytical method called the homotopy analysis Shehu transform method (HASTM) for solving multidimensional fractional diffusion equations.
Shehu Maitama, Weidong Zhao
doaj +1 more source
Analysis of fractional viewpoints on the Jaulent–Miodek and Whitham–Broer–Kaup coupled equations
Partial Differential Equations in Applied MathematicsIn 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
A comparative study of Sumudu HPM and Elzaki HPM for coupled Burgers' equation. [PDF]
Heliyon, 2023 Kapoor M, Joshi V.
europepmc +1 more source
A Note on non-Newtonian Sumudu Transform
WSEAS TRANSACTIONS ON MATHEMATICSThe 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
Approximate solution of Newell-Whitehead-Segel model with time-fractional derivative. [PDF]
PLoS One, 2023 Liu J, Nadeem M, Alsayyad Y.
europepmc +1 more source
Conformable Triple Sumudu Transform with Applications
WSEAS TRANSACTIONS ON MATHEMATICSOne of the important topics in applied mathematics is the topic of integral transformations, due to their importance in electrical engineering applications, including communications in particular, and other sciences. In this work, one of the most important transformations in its three dimensions was presented, which is the triple Sumudu transform ...
Gharib M. Gharib +2 more
openaire +1 more source
Modified conformable double Laplace-Sumudu approach with applications. [PDF]
Heliyon, 2023 Ahmed SA, Saadeh R, Qazza A, Elzaki TM.
europepmc +1 more source
Homotopy Series Solutions to Time-Space Fractional Coupled Systems
Discrete Dynamics in Nature and Society, 2017 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
International Journal of Analysis and Applications, 2019 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
Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method. [PDF]
Sci Rep, 2023 Jamal N +4 more
europepmc +1 more source