In the presented research article, the intelligence based numerical computation of artificial
neural network backpropagated with Levenberg-Marquardt algorithm has been developed …

In this paper, a collocation technique based on Haar wavelet is developed for the solution of
delay fractional order differential equations (FODEs). The developed technique is applied to …

The generalized shifted Chebyshev polynomials (GSCP) represent a novel class of basis
functions that include free coefficients and control parameters. The GSCP are adopted to …

The aim of this paper is to present a new and efficient numerical method to approximate the
solutions of two‐dimensional nonlinear fractional Fredholm and Volterra integral equations …

In this article, the famous mortgage model of economics is investigated by developing a
numerical scheme. The considered model is proposed under the Caputo power law …

Abstract In this article, New Laplace variational iteration method (NLVIM), which is based
upon the combination of Laplace transform and modified variational iteration is used to solve …

In this article, we develop a powerful method for the numerical solution of boundary value
problems (BVPs) of fractional order differential equations (FDEs). Omitting the discretization …

Novel solutions to the fractional neutron point kinetic equations in terms of Caputo
derivatives are obtained for three different cases: 1) constant reactivity; 2) cold startup …

In this article, we investigate the generalized fractional operator Caputo type (ABC) with
kernels of Mittag–Lefller in three parameters and its fractional integrals with arbitrary order …

In the present paper, we propose a new family of six predictor-corrector methods to solve
non-linear fractional differential equations (FDEs) of the form D α y (t)= f (t, y (t)), 0< α< 1 …