In this paper, we investigate an efficient technique for solving fractional integro-differential
equations (FIDEs) that have numerous applications in various fields of science. The …

Based on reproducing kernel theory, an analytical approach is considered to construct
numerical solutions for some basic fractional ordinary differential equations (FODEs, for …

The reproducing kernel Hilbert space method (RK-HS method) is used in this research for
solving some important nonlinear systems of fractional ordinary differential equations, such …

Fractional differential equations are becoming more and more indispensable for modeling
real-life problems. Modeling and then analyzing these fractional differential equations …

This work provides a technical applied description of the residual power series method
(RPSM) to develop a fast and accurate algorithm for mixed hyperbolic–elliptic systems of …

In the present paper, we investigate the influence of the choice of continuous linear operator
for obtaining the approximate periodic solutions of ordinary second-order differential …

In this paper, singularly perturbed pseudo-parabolic initial-boundary value problems with
time-delay parameter are considered by numerically. Initially, the asymptotic properties of …

This article discusses the replicating kernel interpolation collocation method related to
Jacobi polynomials to solve a class of fractional system of equations. The reproducing …

In this paper, a new Legendre orthonormal polynomial–based least–squares method (LSM)
is provided for fractional integro-differential equations (FIDEs). We first divide the domain …

In this paper, singularly perturbed quasilinear boundary value problems are taken into
account. With this purpose, a finite difference scheme is proposed on Shishkin-type mesh (S …