This study presents an efficient method that is suitable for differential equations, both with integer-order and fractional derivatives. examines the construction of solutions equations are associated varying delay proportional to independent variable using a hybrid Sumudu transform method. considers Caputo derivatives orders their applications in Nuclear Physics. The application indicates have...

Abstract Nonlocal operators with different kernels were used here to obtain more general harmonic oscillator models. Power law, exponential decay, and the generalized Mittag-Leffler Delta-Dirac property have been utilized in this process. The aim of study was introduce into damped model nonlocalities associated these mentioned see effect each one them when computing Bode diagram obtained from L...

Some nonlinear differential equations with fractional order are evaluated using a novel approach, the Sumudu and Adomian Decomposition Technique (STADM). To get results of given model, transformation iterative technique employed. The suggested method has an advantage over alternative strategies in that it does not require additional resources or calculations. This approach works well, is easy t...

In this paper, a hybrid technique called the homotopy analysis Sumudu transform method has been implemented solve fractional-order partial differential equations. This is amalgamation of and method. Three examples are considered to validate demonstrate efficacy accuracy present technique. It also demonstrated that results obtained from suggested in excellent agreement with exact solution which ...

The current article studied a nonlinear transmission of the nerve impulse model, Fitzhugh–Nagumo (FN) in conformable fractional form with an efficient analytical approach based on combination Sumudu transform and Adomian decomposition method. Convergence analysis error were also carried out Banach fixed point theory. We provided some examples to support our results. results obtained revealed th...

In the present paper, series solutions and approximate of time–space fractional differential equations are obtained using two different analytical methods. One is homotopy perturbation Sumudu transform method (HPSTM), another variational iteration Laplace (VILTM). It observed that very close to exact solutions. The useful significant analyze many phenomena, have not been reported in previous li...

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...