Regular conformable fractional Dirac systems with impulsive boundary conditions

Year 2025, Volume: 74 Issue: 2, 228 - 237, 19.06.2025

Bilender Paşaoğlu Allahverdiev , Hüseyin Tuna

https://doi.org/10.31801/cfsuasmas.1486907

Abstract

The regular impulsive conformable fractional Dirac system is discussed in this study. First, the uniqueness and existence of solutions for certain kinds of systems are examined. Next, the fundamental features of the operator corresponding to these systems are found and its symmetry is shown. In the end, Green’s function for this problem is determined, and its fundamental characteristics are provided.

Keywords

Conformable fractional differential equations, discontinuous equations, Dirac system, Green functions.

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