The present work is devoted to develo** two numerical techniques based on fractional
Bernstein polynomials, namely fractional Bernstein operational matrix method, to …

In this work, a reliable technique is used for the solution of a system of Volterra integral
equations (VIEs), called optimal homotopy asymptotic method (OHAM). The proposed …

The current article aims to analytically solve the conformable space-time fractional Fokas
(CSTFF) equation in (4+ 1) dimensions. The new sub-equation method is applied to achieve …

In this study, a new approach is proposed to study blood flow through a stenotic artery under
the impact of a magnetic field. The new approach depends on the Chebyshev series, the …

This paper presents a new nonlinear optimal controller for wind energy conversion systems.
This study utilizes a new strategy to solve the Hamilton–Jacobi–Bellman (HJB) equation and …

In this paper, A new accurate solutions are obtained for classes of singular two-point
boundary value problems (BVPs) using a new solution procedure based on the construction …

In this paper, we proposed a fractional diffusion model to simulate the movement of chloride
in concrete. In such complex porous structure some of the free chlorides, which are affected …

Fractional differential and integral equations are focus of the researchers owing to their
tremendous applications in different field of science and technology, such as physics …

Numerical solution of system of fuzzy fractional order Volterra integro-differential equation using
optimal homotopy asymptotic Page 1 AIMS Mathematics, 7(7): 13169–13191. DOI …

The present work is concerned with examining the Optimal Homotopy Asymptotic Method
(OHAM) for linear and nonlinear two‐dimensional Volterra integral equations (2D‐VIEs) …