Impact of Economic Crises under Energy Sources with Mathematical Modeling and Control Measures

Abstract

Motivated by the need to understand the complex interplay between energy dynamics and financial stability, especially in developing countries, this study develops a mathematical model to analyze the impact of economic crises. Examining the XYZR energy model and its financial ramifications in order to manage the energy issues is the aim of this study. When energy is taken into account, the financial system generated to capture the realistic economic crises with critical minimum interest rate. The modified ABC operator is utilized on the newly developed model, converting it into a fractionally ordered to observe the continuous monitoring of the finance system. This type of energy resources and finance system with chaotic behavior is tested using Banach space to look for bounded conclusions, and its basic elements uniqueness. The uniqueness of the constructed system is investigated to determine whether it has a unique solution make consensus for better control. Qualitative analysis derived for steady state position of the XYZR system for validity of the developed system. To confirm its actual state, both qualitative and quantitative analysis is conducted. Utilizing various fractional values, the constructed system's solution is found via Modified ABC scheme, an advanced technique for dependable bounded solution. Additionally, an examination of the developed technique's errors has been carried out to observe the accuracy of the developed results. To observe the actual behaviour and consequences of economic crises, simulations have been built on chaotic finance with critical minimum interest rate including energy sources effects in the developing countries. Determine the true energy state to maximize management after creating a financial plan to minimize losses, then monitor the outcomes with critical minimum interest rate. These kind of studies will be helpful in analyzing the economic crises with energy sources and formulating management plans in light of our confirmed outcomes.