The Caputo-Fabrizio New fractional derivation applied to the Fisher emission linear equation

Azeez, Hunar Jihangir; Rahman, Dilan Khalid; Saleh, Soran Noori

doi:10.33899/csmj.2024.149737.1127

	The Caputo-Fabrizio New fractional derivation applied to the Fisher emission linear equation
AL-Rafidain Journal of Computer Sciences and Mathematics
Article 12, Volume 18, Issue 2, December 2024, Pages 96-100 PDF (374.72 K)
Document Type: Research Paper
DOI: 10.33899/csmj.2024.149737.1127
Authors
Hunar Jihangir Azeez^* ¹; Dilan Khalid Rahman²; Soran Noori Saleh³
¹Department of Mathematics, College Science of Education,Salahaddin University,Kurdistan Region ,Iraq
²Department of Mathematics, College Science of Education,Salahaddin University, Kurdistan Region ,Iraq
³Ministry of Education ,General Directorate of Education of Sulaimani
Abstract
An analysis and paper were provided for Fisher's reaction-diffusion equation using the time-frictional Caputo-Fabrizio equation. In addition, we offered the modified problem's iterative method solution. We demonstrated the stability of the approach using fixed-point theory. These operators, however, are limited in their ability to mimic physical situations and have a power law kernel. Recently, Caputo and Fabrizio presented an alternative fractional differential operator with an exponentially decaying kernel in order to get around this problem. The Caputo-Fabrizio (C-F) operator is a revolutionary method for fractional derivatives that has drawn the attention of several researchers because of its non-singular kernel. Additionally, the C-F operator works best when representing a certain class.
Keywords
Caputo‐Fabrizio fractional derivative nonlinear equation; obtaining answers through iterative method; Stability analysis using fixed point theorem Method; Banach space

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