Work

Solving Hilfer fractional dirac systems: a spectral approach

Year: 2025

Type: article

Abstract: In this study, we define Hilfer fractional Dirac system. Our main object is to analyze the main spectral structure of the Hilfer fractional Dirac system. To this end, the self-adjointness of the Hilfer fractional Dirac operator, orthogonality of the eigen-vector-functions, and reality of the eigenvalues are displayed. Also, we obtain the representation of the solution of the system by using Laplace transforms with analytical estimations. We investigate eigen-vector functions and eigenvalues for the Hilfer fractional Dirac boundary value problem and illustrate the results in detail with tables and figures.

Source: Archive of Applied Mechanics

DOI: 10.1007/s00419-025-02767-x

Authors: Ahu Ercan, Erdal Bas, Ramazan Ozarslan

Institution: Fırat University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,090

Funder: Firat Üniversitesi