In this paper, we recall some basic facts and preliminaries related to fractional calculus by
making a literature review for its definitions and properties. This would provide sufficient …

This article deals with the generalization of natural convection flow of C u− A l 2 O 3− H 2 O
Cu-Al_2O_3-H_2O hybrid nanofluid in two infinite vertical parallel plates. To demonstrate …

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 …

In this paper, we introduce new three-point fractional formulas which represent three
generalizations for the well-known classical three-point formulas; central, forward and …

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 …

An effective solution method of fractional ordinary and partial differential equations is
proposed in the present paper. The standard Adomian Decomposition Method (ADM) is …

In this paper, we establish a novel fractional numerical modification of the 5-point classical
central formula; called the modified 5-point fractional formula for approximating the first …