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Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 12 > No. 2

 
   

Utilizing a Computational Fractional Method to Examine Permanganate’s Oxidation of Sugars in Basic Aqueous Media

PP: 273-295
doi:10.18576/pfda/120204        
Author(s)
Muhammad Farman, Aamir Shahzad, Abdul Sattar Ghaffari, Aseel Smerat, Muhammad Manan Akram,
Abstract
It is essential to comprehend the speeds and mechanisms of chemical reactions in chemistry, biology, and other disciplines. Sugars are one of the organic substrates that permanganate may oxidize, making it a crucial oxidant in both organic and inorganic redox reactions. By employing a literature reaction model to create a system of fractional order differential equations, this study investigates the significance of efficient oxidation procedures. It uses qualitative analysis of fractional order differential equations to explore possible permangantae oxidation pathways because there is not such research on these reactions. Using fixed point theorems, the model is examined and determined to be generalized Ulam-Hyers-Rassias stable. For solving fractional-order differential equations, especially in computer simulations including fractional operator effects, we employ the Laplace Adomian decomposition method (LADM), a reliable analytical and semi-analytical approach. Significant influence on the model’s classes is demonstrated by graphs at various fractional derivative orders. The goal of the results is to enhance comprehension, process innovation and green product.

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