The Langevin equation is a model for describing Brownian motion, while the Sturm–Liouville
equation is an important mechanical model. This paper focuses on the solvability and …

In this paper, we present a numerical scheme for the generalized fractional Sturm–Liouville
problem (GFSLP) with mixed boundary conditions. The GFSLP is defined in terms of the B …

In this paper we define a fractional Sturm–Liouville problem (FSLP) on [0, 1] subject to
dirichlet boundary condition. First we discretize FSLP to obtain the corresponding matrix …

This article deals with a special case of the Sturm–Liouville boundary value problem (BVP),
an eigenvalue problem characterized by the Sturm–Liouville differential operator with …

In this paper, the eigenvalues and corresponding eigenfunctions of a fractional order Sturm-
Liouville problem (FSLP) are approximated by using the fractional differential transform …

In this paper, a special class of fractional Sturm–Liouville problems of order α (3< α≤ 4) is
discussed. The method is based on utilizing the shifted Legendre polynomials on the …

The aim of this study is to present a numerical algorithm for solving the generalized
fractional Sturm-Liouville differential equation. We define the generalized fractional Sturm …

This paper explores numerical methods for recovering a density term in a fractional Sturm-
Liouville problem using a set of spectra. By applying Lidskii's theorem, a sequence of trace …

A new numerical scheme based on Genocchi polynomials is constructed to solve fractional
Sturm–Liouville problems of order two in which the fractional derivative is considered in the …

The goal of this study is to develop and apply an approximate method for calculating
integrals that are part of models using Riemann-Liouville integrals, and to create a software …