Abstract The main aim of this paper is to investigate various types Ulam stability and Mittag-Leffler linear differential equations first order with constant coefficients using the Aboodh transform method. We also obtain Hyers–Ulam constants these some examples illustrate our results are given.

This work aims to determine the approximate solutions of nonlinear boundary value problems higher order obtained through Aboodh Transform Series Decomposition Method (ATSDM), a method designed find integral and inverse transform problems, expand exponential function, simultaneously decompose terms. The results demonstrate that ATSDM is an excellent trusted can be employed obtain accurate for an...

In this paper, a new approximate analytical method is proposed for solving the fractional biological population model, derivative described in Caputo sense. This based upon Aboodh transform and iterative method, modification of Laplace transform. Illustrative cases are considered comparison between exact solutions numerical different values alpha. Furthermore, surface plots provided order to un...

A relatively new and efficient approach based on a iterative method the Aboodh transform called is proposed to solve space-time fractional differential equations, order considered in Caputo sense. This combination of gives solution series form with easily computable components. The nonlinear term handled by method, affirm simplicity performance five examples were considered, plots presented sho...

This article is an analysis of fractional nonlinear convection–reaction–diffusion equations involving the Atangana–Baleanu and Caputo derivatives. An efficient Aboodh homotopy perturbation transform method, which combines method with transformation, applied to investigate this fractional-order proposed model, analytically. A modified technique known as formulated approximate these The analytica...