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Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator
Author(s) -
Nehad Ali Shah,
Essam R. ElZahar,
Jae Dong Chung
Publication year - 2022
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2022/6231921
Subject(s) - adomian decomposition method , mathematics , transformation (genetics) , operator (biology) , convergence (economics) , series (stratigraphy) , current (fluid) , fractional calculus , burgers' equation , rate of convergence , decomposition method (queueing theory) , inverse , mathematical analysis , computer science , partial differential equation , key (lock) , biochemistry , discrete mathematics , chemistry , repressor , gene , transcription factor , geometry , engineering , economics , electrical engineering , computer security , economic growth , paleontology , biology
This work applies a novel analytical technique to the fractional view analysis of coupled Burgers equations. The proposed problems have been fractionally analyzed in the Caputo-Fabrizio sense. The Yang transformation was initially applied to the specified problem in the current approach. The series form solution is then obtained using the Adomian decomposition technique. The desired analytical solution is obtained after performing the inverse transform. Specific examples of fractional Burgers couple systems are used to validate the proposed technique. The current strategy has been found to be a useful methodology with a close match to actual solutions. The proposed method offers a lower computing cost and a faster convergence rate. As a result, the suggested technique can be applied to a variety of fractional order problems.

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