One dimensional beta Dirac system

Key Points

• The research aims to define and explore the beta fractional Dirac system and its boundary value problem.
• Defined key concepts and theorems for beta fractional Dirac system.
• Formulated the self-adjoint boundary value problem.
• Established existence and uniqueness theorem for the Dirac system.
• Provided eigenfunction expansions and constructed the corresponding Green matrix.
• Included examples to illustrate the application of concepts.
• Confirmed the existence and uniqueness of solutions for the Dirac system.
• Successfully provided eigenfunction expansions relevant to the beta fractional Dirac system.
• Constructed a corresponding Green matrix, enhancing understanding of the system.

Abstract