Müntz sturm-liouville problems: Theory and numerical experiments

This paper presents two new classes of Müntz functions which are called Jacobi-Müntz the first and second types. These newly generated satisfy in self-adjoint fractional Sturm-Liouville problems thus they have some spectral properties such as: orthogonality, completeness, three-term recurrence relations so on. With respect to these orthogonal projections their error bounds derived. Also, type quadrature rules introduced. As applications basis ordinary partial differential equations considered numerical results given.