On some even-sequential fractional boundary-value problems

E Uğurlu - Fractional Calculus and Applied Analysis, 2024 - Springer
In this paper we provide a way to handle some symmetric fractional boundary-value
problems. Indeed, first, we consider some system of fractional equations. We introduce the …

Variational approach for tempered fractional Sturm–Liouville problem

PK Pandey, RK Pandey, S Yadav… - International Journal of …, 2021 - Springer
In this paper, we study the properties of eigenvalue for the regular tempered fractional Sturm–
Liouville problem (TFSLP) of order μ μ. Using a fractional variational approach, we show that …

Fractional Hamiltonian systems: Nested ellipsoids

E Uğurlu - Chaos, Solitons & Fractals, 2025 - Elsevier
In this paper, we introduce a singular fractional-order Hamiltonian system with several
spectral parameters. Using the inertia indices of the corresponding Hermitian forms we …

Numerical approach for the fractional order cable model with theoretical analyses

U Ali, M Naeem, AH Ganie, D Fathima… - Frontiers in …, 2023 - frontiersin.org
This study, considers the fractional order cable model (FCM) in the sense of Riemann–
Liouville fractional derivatives (R-LFD). We use a modified implicit finite difference …

Discontinuous fractional Sturm–Liouville problems with transmission conditions

Z Akdoğan, A Yakar, M Demirci - Applied Mathematics and Computation, 2019 - Elsevier
The main purpose of this study is the investigation of discontinuous Sturm–Liouville problem
with fractional derivatives. We give an operator theoretic framework of the problem under …

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 …

[PDF][PDF] Discontinuous fractional Sturm–Liouville problems with eigen-dependent boundary conditions

J Fu, X Hao, K Li, S Yao - J Appl Anal Comput, 2021 - jaac-online.com
In this paper, a fractional discontinuous Sturm-Liouville type boundary-value problem with
eigenparameter-dependent boundary conditions and with two fractional transmission …

Variational and Numerical Approximations for Higher Order Fractional Sturm-Liouville Problems

D Pandey, PK Pandey, RK Pandey - Communications on Applied …, 2024 - Springer
This paper is devoted to studying the variational approximation for the higher order regular
fractional Sturm-Liouville problems (FSLPs). Using variational principle, we demonstrate that …

[PDF][PDF] Fractional dissipative Sturm–Liouville problems with discontinuity and eigen-dependent boundary conditions

Q Meng, X Hao, K Li - J Appl Anal Comput, 2023 - jaac-online.com
This paper studies two main fractional discontinuous dissipative Sturm-Liouville type
boundary-value problems with boundary conditions and transmission conditions. In both …

On square integrable solutions of a fractional differential equation

E Uğurlu, D Baleanu, K Taş - Applied Mathematics and Computation, 2018 - Elsevier
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