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

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.

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Journal
Maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/˜Al-œRafidain journal for computer sciences and mathematics
Published
2024-12-01
DOI
https://doi.org/10.33899/csmj.2024.149737.1127
Primary Topic
Fractional Differential Equations Solutions
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article
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article

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

D.H. Abdel Rahman, Suleiman Saleh, Hunar Azeez
Maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/˜Al-œRafidain journal for computer sciences and mathematics
Fractional Differential Equations Solutions
article

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

D.H. Abdel Rahman, Suleiman Saleh, Hunar Azeez
article en

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.

Maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/˜Al-œRafidain journal for computer sciences and mathematicsVol. 18(2)
Ministry of Education Science and Technology (MW), Salahaddin University-Erbil (IQ)
Openalex Percentile: Top 71%
Fractional Differential Equations Solutions
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