  The supersymmetric analysis of spinning cosmic string spacetime, involving an
electron in magnetic fields, has been conducted. We examined the Dirac system
within extended special functions known as exceptional orthogonal polynomials.
Corresponding Dirac system is transformed to a relativistic system with a
nonlinear isotonic oscillator. Furthermore, new potential models that extend
the radial oscillator by adding rational terms are expressed in terms of the
exceptional orthogonal Laguerre $X_{m}$ polynomial. The necessary analyses of
the potential, energy levels, and probability density graphs are introduced for
various cosmic string topological defects and Aharonov-Bohm interaction
parameters.
