A numerical approach for dealing with fractional boundary value problems

AA Al-Nana, IM Batiha, S Momani - Mathematics, 2023 - mdpi.com
This paper proposes a novel numerical approach for handling fractional boundary value
problems. Such an approach is established on the basis of two numerical formulas; the …

[PDF][PDF] Differential operator equations with interface conditions in modified direct sum spaces

K Aydemir, H Olğar, OS Mukhtarov, F Muhtarov - Filomat, 2018 - doiserbia.nb.rs
We investigate a new type boundary value problem consisting of a differential-operator
equation, eigendependent boundary conditions, and two supplementary conditions so …

Regular third-order boundary value problems

E Uğurlu - Applied Mathematics and Computation, 2019 - Elsevier
In this paper, we consider some boundary value problems generated by third-order formally
symmetric (self-adjoint) regular differential expression and separated, real-coupled and …

Weak eigenfunctions of two-interval Sturm-Liouville problems together with interaction conditions

H Olǧar, OS Mukhtarov - Journal of Mathematical Physics, 2017 - pubs.aip.org
In this study, we consider a new type boundary value problem consisting of a Sturm-Liouville
equation on two disjoint intervals together with interaction conditions and with eigenvalue …

Some properties of eigenvalues and generalized eigenvectors of one boundary value problem

H Olğar, OS Mukhtarov, K Aydemir - Filomat, 2018 - doiserbia.nb.rs
We investigate a discontinuous boundary value problem which consists of a Sturm-Liouville
equation with piecewise continuous potential together with eigenparameter dependent …

Scattering theory of impulsive Sturm-Liouville equations

E Bairamov, Y Aygar, B Eren - Filomat, 2017 - doiserbia.nb.rs
In this paper, we investigate scattering theory of the impulsive Sturm-Liouville boundary
value problem (ISBVP). In particular, we find the Jost solution and the scattering function of …

Conformable fractional Sturm–Liouville problems on time scales

BP Allahverdiev, H Tuna - Mathematical Methods in the …, 2022 - Wiley Online Library
We consider a conformable fractional Sturm–Liouville problem on bounded time scales.
Firstly, the existence and uniqueness of solutions of the conformable fractional Sturm …

Scattering analysis and spectrum of discrete Schrödinger equations with transmission conditions

E Bairamov, Y Aygar, D Karslıoğlu - Filomat, 2017 - doiserbia.nb.rs
In this paper, we present an investigation about scattering analysis of an transmission
boundary value problem (TBVP) which consists a discrete Schrödinger equation and …

Asymptotic analysis of Sturm–Liouville problem with Neumann and nonlocal two-point boundary conditions

A Štikonas, E Şen - Lithuanian Mathematical Journal, 2022 - Springer
In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the
one-dimensional Sturm–Liouville equation with one classical Neumann-type boundary …

The eigenvalue problem with interaction conditions at one interior singular point

OS Mukhtarov, K Aydemir - Filomat, 2017 - doiserbia.nb.rs
Some physical processes, both classical physics and quantum physics reduced to
eigenvalue problems for Sturm-Liouville equations. In the recent years there has been an …