This study addresses a nonlinear fractional Drinfeld–Sokolov–Wilson problem in dispersive water waves, which requires appropriate numerical techniques to obtain an approximative solution. The Adomian decomposition approach, the homotopy perturbation method, and Sumudu transform are combined tackle problem. Caputo manner is used describe derivative, He’s polynomials employed address nonlinearity...

Cancer is dangerous and one of the major diseases affecting normal human life. In this paper, a fractional-order cancer model with stem cells chemotherapy analyzed to check effects infection in individuals. The investigated by Sumudu transform very effective numerical method. positivity solutions ABC operator proposed technique verified. Fixed point theory used derive existence uniqueness for f...

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...

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 ...