Applications of generalized formable transform with ?-Hilfer-Prabhakar derivatives
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Heidelberg
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
This paper introduces the Psi-formable integral transform, discusses the several essential properties and results-Convolution, Psi-formable transform of tth derivative, Psi-Riemann Liouville fractional integration and differentiation, Psi-Caputo fractional differentiation, Psi-Hilfer fractional differentiation, Psi-Prabhakar fractional integration and differentiation, and Psi-Hilfer-Prabhakar fractional derivatives. Next, we use the Fourier integral and Psi-Modifiable conversions to solve some Cauchy-type fractional differential equations using the generalized three-parameter Mittag-Leffler function and Psi-Hilfer-Prabhakar fractional derivatives
Description
Keywords
Psi-Prabhakar integral, Psi-Formable transform, Psi-Hilfer Prabhakar derivatives, Mittag-Leffler function
Journal or Series
Computational & Applied Mathematics
WoS Q Value
N/A
Scopus Q Value
Q1
Volume
43
Issue
7
