This paper presents a modified homotopy perturbation method (HPM), which aimed at
solving systems of ordinary differential equations (ODEs). The MHPM, which combines the …

For dealing with systems of Fractional Differential Equations (FDEs), the primary goal of this
work is to offer several graphical comparisons performed with the use of specific recent …

Fuzzy differential equation models are applicable when real-word situations are uncertain.
Numerical methods provide an approximate solution to certain problems when the exact …

This study is designed to analyze the fuzzy dynamical model of vibrating mass system by
using neural networks (NNs). Stochastic numerical solvers are implemented with Levenberg …

Fuzzy differential equation models are suitable where uncertainty exists for real-world
phenomena. Numerical techniques are used to provide an approximate solution to these …

This study intends to improve the solution accuracy of the second-order fuzzy ordinary
differential equation (FODEs). As a result, it introduces two fuzzy higher derivative terms into …

This work presents a general framework for solving generalized fractional differential
equations based on operational matrices of the generalized Bernstein polynomials. This …

Solving fuzzy system of Fredholm integro-differential equations of the second kind by using
homotopy analysis method Page 1 AIMS Mathematics, 10(1): 1704–1740. DOI: 10.3934/math.2025078 …

The primary purpose of this study is to apply the Optimal Homotopy Asymptotic Method
(OHAM) to various nonlinear initial value problems of different orders to evaluate its …

This paper presents a modified technique that utilizes the homotopy-perturbation method
(HPM) to solve a system of integro-differential equation of Volterra kind. By providing …