Exploring the Elzaki Transform: Unveiling Solutions to Reaction-Diffu-sion Equations with Generalized Composite Fractional Derivatives
[ X ]
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Universal Wiser Publisher
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This article investigates the use of the Elzaki transform on a generalized composite fractional derivative. To establish the framework for this inquiry, numerous essential lemmas about the Elzaki transform are presented. We successfully extract the solution to the reaction-diffusion problem using both the Elzaki and Fourier transforms, which include a generalized composite fractional derivative. We also look at special examples of the generalized equation, which helps us understand its applications and consequences better. The results show that the Elzaki transform is successful in dealing with complicated fractional differential equations, introducing new analytical approaches and solutions to the subject of fractional calculus and its applications in reaction-diffusion systems.
Açıklama
Anahtar Kelimeler
elzaki transform, generalised composite fractional derivative, reaction-diffusion equation, fourier transform, fractional calculus applications
Kaynak
Contemporary Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
5
Sayı
2
