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 q...

This research aims to accomplish an analytic solution mathematical models involving space-time fractional differential equations in the conformable sense series form through weighted inner product and separation of variables method. The main advantage this method is that various linear problems any kind can be solved by using First, corresponding eigenfunctions are established solving Sturm-Lio...

Abstract In this work, we consider a generalized quantum fractional Sturm–Liouville–Langevin difference problem with terminal boundary conditions. The relevant results rely on Mönch’s fixed point theorem along theoretical method by terms of Kuratowski measure noncompactness (MNC) and the Banach contraction principle (BCP). Furthermore, two dynamical notions Ulam–Hyers (UH) (GUH) stability are a...

in this paper, we investigate the canonical property of solutions of a system of differentialequations having a singularity and turning point of even order. first, by a replacement, we transform thesystem to the sturm-liouville equation with a turning point. using the asymptotic estimates for a specialfundamental system of solutions of sturm-liouville equation, we study the infinite product rep...

Abstract The fundamental objective of this article is to investigate about the boundary value problem with uses a generalized conformable fractional derivative introduced by Zarikaya et al. ( On calculus , TWMS J. App. Eng. Math. 9 (2019), no. 4, 792–799, http://jaem.isikun.edu.tr/web/images/articles/vol.9.no.4/11.pdf ). In development article, using classical methods calculus, we find definiti...

We establish the connection between Sturm–Liouville equations on time scales and Sturm–Liouville equations with measure-valued coefficients. Based on this connection we generalize several results for Sturm–Liouville equations on time scales which have been obtained by various authors in the past.