In this paper, we study the existence and uniqueness of solutions for nonlinear fractional
differential equations with Caputo and Riemann-Liouville derivatives, and p-Laplacian …

In this paper, the homotopy analysis method (HAM) is applied to numerically approximate
the eigenvalues of the second and fourth-order Sturm–Liouville problems. These …

In this paper, we discuss a class of eigenvalue problems of fractional differential equations
of order α∈(3, 4] with variable coefficients. The method of solution is based on utilizing the …

A general solution of the fourth-order Sturm–Liouville equation is presented in the form of a
spectral parameter power series (SPPS). The uniform convergence of the series is proved …

In this paper, an efficient technique based on the Chebyshev spectral collocation method for
computing the eigenvalues of fourth-order Sturm–Liouville boundary value problems is …

The differential quadrature method (DQM) and the Boubaker Polynomials Expansion
Scheme (BPES) are applied in order to compute the eigenvalues of some regular fourth …

In this paper, the models of Euler–Bernoulli beams on the Winkler foundations are
considered. The novelty of the research is in consideration of the models with an arbitrary …

In this work, we present a computational method for solving eigenvalue problems of fourth-
order ordinary differential equations which based on the use of Chebychev method. The …

A collocation method based on Bernoulli polynomial is developed to compute the
eigenvalues and eigenfunctions of some known fourth-order Sturm-Liouville problems …

This paper examines and develops matrix methods to approximate the eigenvalues of a
fourth order Sturm–Liouville problem subjected to a kind of fixed boundary conditions …