In this paper, we present a numerical technique for solving fractional Sturm–Liouville
problems with variable coefficients subject to mixed boundary conditions. The proposed …

We present a numerical algorithm for solving nonlinear fractional boundary value problems
of order n, n∈ ℕ. The Bernstein polynomials (BPs) are redefined in a fractional form over an …

This paper introduces techniques for the estimation of solutions to fractional order differential
equations (FODEs) and the approximation of a function's Caputo fractional derivative. These …

Following the ideas about analogies, mathematical, qualitative, and structural, introduced by
Mihailo Petrović in Elements of Mathematical Phenomenology (Serbian Royal Academy …

This paper presents a family of computational schemes for the solution of the Bagley-Torvik
equation. The schemes are based on the reformulation of the original problem into a system …

In this article, we construct a Jacobi spectral collocation scheme to approximate the Caputo
fractional derivative based on Jacobi–Gauss quadrature. The convergence analysis is …

Two‐dimensional time‐fractional diffusion equations with given initial condition and
homogeneous Dirichlet boundary conditions in a bounded domain are considered. A …

‎ A computational technique for solution of mathematical model of gas solution in a fluid is
presented‎.‎ This model describes the change of mass of the gas volume due to diffusion …

Since the solutions of the fractional differential equations (FDEs) have unbounded
derivatives at zero, their numerical solutions by piecewise polynomial collocation method on …

In recent years, fractional calculus (the branch of calculus that generalizes the derivative of a
function to non-integer order) has been a subject of numerous investigations by scientists …