On Hilfer-Prabhakar fractional derivatives Sawi transform and its applications to fractional differential equations

Mohd Khalid; Subhash Alha

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arXiv · 2301.06797

On Hilfer-Prabhakar fractional derivatives Sawi transform and its applications to fractional differential equations

Mohd Khalid·Subhash Alha

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Abstract

The goal of this paper is to study the Sawi transform and its relationship to Hilfer-Prabhakar and regularized Hilfer-Prabhakar fractional derivatives, as well as to present some lemmas related to the Sawi transform. Additionally, the paper aims to find solutions for Cauchy type fractional differential equations using Hilfer-Prabhakar fractional derivatives, by utilizing the Sawi and Fourier transforms, and involving the three-parameter Mittag-Leffler function.

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BibTeX RIS

Mohd Khalid, Subhash Alha. 2023-01-17. On Hilfer-Prabhakar fractional derivatives Sawi transform and its applications to fractional differential equations. https://arxiv.org/abs/2301.06797

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