Thermodynamics and Perturbative properties of Regular Charged Black Hole

This manuscript analyses the thermodynamic properties of the regular charge black hole through the perspective of Kaniadakis nonextensive entropy. The geometric mass, Hawking temperature, and heat capacity are computed to assess the physical existence of regular charged black hole solution by analyzing the characteristics of mass and temperature. We proceed to calculate the heat capacity in order to analyse the phase transition of the regular charged black hole. The entropy parameters have a substantial impact on the thermodynamic properties of the black hole. The energy emission rate is calculated, depicting its directly proportional relationship with the black hole parameter. Furthermore, we calculate the corrected entropy to evaluate the impact of thermal fluctuations on both large and small black holes. We systematically compare the results for large and small black holes to assess the impact of correction terms on the thermodynamic system. Additionally, we examine the Regge-Wheeler potential associated with a regular charged black hole and demonstrate the variations in the Regge-Wheeler potential for fields exhibiting different spins. Graphical representations of the potential l are also presented to illustrate the effects. We have effectively found a rigorous bound that is based on the greybody factor for a regular charged black hole.