On the Inverse Problems for Conformable Fractional Integro-Dirac Differential System with Parameter Dependent Boundary Conditions

This study considers a conformable fractional Dirac-type integral differential system, focusing on its mathematical properties and practical implications. Asymptotic formulas have been derived for the solutions, eigenvalues, and nodes of the problem, providing a deeper understanding of the behavior of the system under varying conditions. These asymptotic results form the basis for analyzing the spectral characteristics and node distribution of the system. In addition, an algorithm is developed that effectively solves the inverse nodal problem and reconstructs the system coefficients from the nodal data.