Book ChapterDOI
New and Extended Applications of the Natural and Sumudu Transforms: Fractional Diffusion and Stokes Fluid Flow Realms
Fethi Bin Muhammed Belgacem,Rathinavel Silambarasan,Hammouch Zakia,Toufik Mekkaoui +3 more
- pp 107-120
TLDR
In this article, the Sumudu transform is used to solve fractional differential equations for various values of fractional degrees (α) and various boundary conditions, followed by Stokes-Ekman boundary thickness problem.Abstract:
The Natural transform is used to solve fractional differential equations for various values of fractional degrees \(\alpha \), and various boundary conditions. Fractional diffusion problems solutions are analyzed, followed by Stokes–Ekman boundary thickness problem. Furthermore, the Sumudu transform is applied for fluid flow problems, such as Stokes, Rayleigh, and Blasius, toward obtaining their solutions and corresponding boundary layer thickness.read more
Citations
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Journal ArticleDOI
Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems
Sunil Kumar,Amit Kumar,Shaher Momani,Shaher Momani,Mujahed Al-Dhaifallah,Kottakkaran Sooppy Nisar +5 more
TL;DR: In this article, a modified analytical technique based on auxiliary parameters and residual power series method (RPSM) for Newell-Whitehead-Segel (NWS) equations of arbitrary order is presented.
Journal Article
New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations
Shehu Maitama,Weidong Zhao +1 more
TL;DR: In this article, a Laplace-type integral transform called the Shehu transform is proposed for solving differential equations in the time domain. But it is not suitable for the case of time-invariant problems.
Journal ArticleDOI
Circuit design and simulation for the fractional-order chaotic behavior in a new dynamical system
Zakia Hammouch,Toufik Mekkaoui +1 more
TL;DR: It is demonstrated that the fractional-ordered nonlinear chaotic attractors exist in this new system and they agree very well with those obtained by numerical simulations.
Journal ArticleDOI
Implementation and Convergence Analysis of Homotopy Perturbation Coupled With Sumudu Transform to Construct Solutions of Local-Fractional PDEs
TL;DR: In this article, the explicit solutions of some local fractional partial differential equations are constructed through the integration of Local fractional Sumudu transform and homotopy perturbation such as local fractions dissipative and damped wave equations.
Journal ArticleDOI
Analytic study for fractional coupled Burger’s equations via Sumudu transform method
TL;DR: Huang et al. as mentioned in this paper applied a reliable analytic algorithm based on homotopy perturbation Sumudu transform method (HPSTM) to examine the nonlinear time-fractional coupled Burger's equations.
References
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Journal ArticleDOI
Analytical investigations of the sumudu transform and applications to integral production equations
TL;DR: In this article, the Sumudu transform was used to solve an integral production-depreciation problem, where the Laplace transform was applied to solve the problem without resorting to a new frequency domain.
Journal ArticleDOI
Sumudu transform fundamental properties investigations and applications.
TL;DR: In this paper, the Sumudu transform is used to solve problems without resorting to a new frequency domain, which is the theoretical dual to the Laplace transform, and hence ought to rival it in problem solving.
Journal ArticleDOI
Extinction for a discrete competition system with the effect of toxic substances
TL;DR: In this article, a nonautonomous discrete competitive system with nonlinear inter-inhibition terms and one toxin producing species is studied, and sufficient conditions which guarantee the extinction of one of the components are obtained and the global attractivity of the other one is proved.
N-Transform - Properties and Applications
TL;DR: In this paper, a new integral transform similar to Laplace and Sumudu transforms is introduced, which converges to both transforms just by changing variables, and an example of unsteady fluid flow over a plane wall is presented.
Journal ArticleDOI
The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method
TL;DR: In this paper, the Sumudu transform was used to solve nonhomogeneous fractional ordinary differential equations (FODEs) and then the solutions were used to form two-dimensional (2D) graphs.