In view of the usefulness and great importance of the kinetic equation in certain astrophysical problems, the authors develop a new and further generalized form of the fractional kinetic equation in terms of the Aleph-function by using the Sumudu transform. This new generalization can be used for the computation of the change of chemical composition in stars like the sun. The manifold generalit...

In this paper, Adomian decomposition sumudu transform method is introduced and used to solve the temperature distribution in a solid and porous fin with the temperature dependent internal heat generation for a fractional order energy balance equation. In this study, we assume heat generation as a variable of fin temperature for solid and porous fin and the heat transfer through porous media is ...

Warp and weft spacing and its coefficient of variation affect the physical properties of fabrics such as fabric hand, frictional and mechanical properties. In this paper the weft and warp spacing and its coefficient of variation for plain weave is calculated using Fourier transforms. Different methods have been used in this work including autocorrelation function. First, two dimensional power s...

Warp and weft spacing and its coefficient of variation affect the physical properties of fabrics such as fabric hand, frictional and mechanical properties. In this paper the weft and warp spacing and its coefficient of variation for plain weave is calculated using Fourier transforms. Different methods have been used in this work including autocorrelation function. First, two dimensional power s...

The key objective of the current work is to examine behavior nonlinear fractional Riccati differential equation associated with Caputo–Prabhakar derivative. An efficient computational scheme, that is, a mixture homotopy analysis technique and sumudu transform, used solve equation. convergence uniqueness for solution implemented shown. In addition, numerical consequences are demonstrated in form...

This paper shows how to use the fractional Sumudu homotopy perturbation technique (SHP) with Caputo operator (CF) solve time linear and nonlinear partial differential equations. The transform (ST) (HP) are combined in this approach. In definition, derivative is defined. general, method straightforward execute yields good results. There some examples offered demonstrate technique's validity use.

The occurrence of cycle slips is a major limiting factor for achievement of sub-decimeter accuracy in positioning with GPS (Global Positioning System). In the past, several authors introduced a method based on different combinations of GPS data together with Kalman filter to solve the problem of the cycle slips. In this paper the same philosophy is used but with discrete wavelet transforms. For...

in this paper, first the properties of one and two-dimensional differential transforms are presented.next, by using the idea of differential transform, we will present a method to find an approximate solution fora volterra integro-partial differential equations. this method can be easily applied to many linear andnonlinear problems and is capable of reducing computational works. in some particu...