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 …

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 …

Oscillation properties for non-classical Sturm-Liouville problems with additional transmission conditions

OS Mukhtarov, K Aydemir - Mathematical Modelling and Analysis, 2021 - jest.vgtu.lt
This work is aimed at studying some comparison and oscillation properties of boundary
value problems (BVP's) of a new type, which differ from classical problems in that they are …

The resolvent of impulsive dynamic singular Sturm–Liouville operators

BP Allahverdiev, H Tuna, HA Isayev - Afrika Matematika, 2024 - Springer
The resolvent of impulsive dynamic singular Sturm–Liouville operators | Afrika Matematika Skip
to main content SpringerLink Account Menu Find a journal Publish with us Track your research …

The Parseval equality and expansion formula for singular Hahn-Dirac system

BP Allahverdiev, H Tuna - … of differential equations and game theory, 2020 - igi-global.com
This work studies the singular Hahn-Dirac system given by Here 𝜇 is a complex spectral
parameter, p (.) and r (.) are real-valued continuous functions at 𝜔0, defined on [𝜔0,∞) and …

[PDF][PDF] Properties of eigenvalues and spectral singularities for impulsive quadratic pencil of difference operators

E Bairamov, S Cebesoy, I Erdal - Journal of Applied Analysis & …, 2019 - jaac-online.com
In this paper, we investigate the spectral analysis of impulsive quadratic pencil of difference
operators. We first present a boundary value problem consisting one interior impulsive point …

Titchmarsh–Weyl Theory for Impulsive Dynamic Dirac System

BP Allahverdiev, H Tuna - Qualitative Theory of Dynamical Systems, 2023 - Springer
Abstract We study the Titchmarsh–Weyl theory of the impulsive dynamic Dirac system. The
limit-circle/limit-point classification will be obtained for this system. Later, it has been proven …

Fractional Dirac system with impulsive conditions

BP Allahverdiev, H Tuna, HA Isayev - Chaos, Solitons & Fractals, 2023 - Elsevier
In this article, fractional Dirac systems are considered under impulsive conditions and their
basic properties are investigated. In this context, the symmetry, eigenvalues, and …

Numerical solution of one boundary value problem using finite difference method

O Mukhtarov, S Çavuşoğlu, H Olğar - Turkish Journal of …, 2019 - dergipark.org.tr
Many problem of physics and engineering are modelled by boundary value problems for
ordinary or partial differential equations. Usually, it is impossible to find the exact solution of …

On Dirichlet-integrable solutions of left-definite Hamiltonian systems

E Uğurlu, E Bairamov - Boletín de la Sociedad Matemática Mexicana, 2023 - Springer
This paper aims to share a method to handle left-definite Hamiltonian systems and to
construct nested-ellipsoids related with the corresponding hermitian forms. We share a …