Fractional Frontier: Navigating Cauchy-Type Equations with Formable and Fourier Transformations
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Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Universal Wiser Publisher
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The Formable integral transform for the Hilfer-Prabhakar and Prabhakar fractional derivatives, as well as their regularised forms, are derived in this article. We solve several Cauchy-type fractional differential equations with Hilfer-Prabhakar fractional derivatives by applying the Formable integral and Fourier transformations in their entirety, including the three-parameter Mittag-Leffler function. With the help of analytical solutions and improved comprehension of complicated fractional differential equations, this work expands the use of integral transforms in fractional calculus across a range of scientific and engineering fields.
Açıklama
Anahtar Kelimeler
Prabhakar integral, Hilfer-Prabhakar derivatives, formable transform, Fourier transform, Mittag-Leffler function
Kaynak
Contemporary Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
5
Sayı
3
