This paper proposes fractional-order systems for Hopfield Neural Network (HNN). The so-
called Predictor–Corrector Adams–Bashforth–Moulton Method (PCABMM) has been …

This paper proposes a novel numerical approach for handling fractional boundary value
problems. Such an approach is established on the basis of two numerical formulas; the …

This paper aims to present a new numerical modification for solving fractional initial value
problem. The proposed modification, which is named Modified Fractional Euler Method …

During the broadcast of Coronavirus across the globe, many mathematicians made several
mathematical models. This was, of course, in order to understand the forecast and behavior …

This article introduces some new straightforward and yet powerful formulas in the form of
series solutions together with their residual errors for approximating the Riemann-Liouville …

This article explores the application of the reduced differential transform method (RDTM) for
the computational solutions of two fractional-order cancer tumor models in the Caputo …

In this paper, we present and discuss a class of semi-linear heat equation with nonlinear
nonlocal conditions of second type. The existence and uniqueness of weak solution of the …

Fractional differential equations have recently demonstrated their importance in a variety of
fields, including medicine, applied sciences, and engineering. The main objective of this …

This work aims to propose a new simple robust power series formula with its truncation error
to approximate the Caputo fractional-order operator D α ay (t) of order m− 1< α< m, where …

In this paper, we apply the (G′ G)-expansion and the Tanh methods to finding exact
traveling wave solutions of the space and time fractional Zakharov-Kuznetsov (FZK) …