An Efficient Mathematical Approach for the Fraction Order Differentiation Based on Future Applications of Chaotic Parameter

Ghulam Bary,Waqar Ahmed,Muhammad Farooq Saleem Khan,Nawaf N Hamadneh,Ilyas Khan,Riaz Ahmad,Muhammad Sajid,Md Fayz-Al-Asad,Muhammad Shoaib Anwar

doi:10.1155/2021/7594496

Abstract

Normalized chaotic parameters examine the characterization of the particle production fluids produced at unusual energies and investigate a remarkable behavior in quantum measurement. The analogous characterization can be analyzed to probe the chaotic systems of boson particles creating sources of extraordinary energy. We observe that the bosons appear to be the appropriate aspirants of chaos fractions, and the normalized chaotic parameters evaluate the presence of such conglomerate phases significantly. The core point of this manuscript is that we calculate and examine the normalized chaotic parameters by differential equations to analyze the characteristics of the chaotic systems and their applications in thermal as well as in mechanical engineering. With such an efficient and distinctive approach, we perceive significant consequences for the correlator at higher temperature regimes.

Highlights

Ghulam Bary,1 Waqar Ahmed,2 Muhammad Sajid,3 Riaz Ahmad,1 Muhammad Farooq Saleem Khan,4 Md Fayz-Al-Asad,5 Nawaf N
Normalized chaotic parameters examine the characterization of the particle production fluids produced at unusual energies and investigate a remarkable behavior in quantum measurement. e analogous characterization can be analyzed to probe the chaotic systems of boson particles creating sources of extraordinary energy
We observe that the bosons appear to be the appropriate aspirants of chaos fractions, and the normalized chaotic parameters evaluate the presence of such conglomerate phases significantly. e core point of this manuscript is that we calculate and examine the normalized chaotic parameters by differential equations to analyze the characteristics of the chaotic systems and their applications in thermal as well as in mechanical engineering

Summary

Introduction

Ghulam Bary ,1 Waqar Ahmed ,2 Muhammad Sajid ,3 Riaz Ahmad ,1 Muhammad Farooq Saleem Khan,4 Md Fayz-Al-Asad ,5 Nawaf N. E condensation of Bose–Einstein has hypercritical effect on the three particles correlations, and the exaction of such coherence from experimental data of three particles has the advantage that the phase as well as the resonance problems can be minimized by using the normalized chaotic parameter.

Results

Conclusion