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 ...

This paper considers a new Double Integral transform called Sumudu-Elzaki DSET. The combining of the DSET with semi-analytical method, namely variational iteration method DSETVIM, to arrive numerical solution nonlinear PDEs Fractional Order derivatives. proposed dual property decreases number calculations required, so these two methods leads calculating solution's speed. suggested technique is ...

This paper studies a fractional Bloch equation pertaining to Hilfer operator. is broadly applied in physics, chemistry, nuclear magnetic resonance (NMR), imaging (MRI) and many more. The sumudu transform technique obtain the analytic solutions for magnetization M = ( x , y z ). general solution of shown terms Mittag-Leffler (ML) type function. influence order operator on demonstrated graphical ...