On the solutions of generalized Cauchy differential equations and diffusion equations with k-Hilfer-Prabhakar derivative

In this article, natural transform of k-Prabhakar integral, k-Prabhakar derivative, k-Hilfer-Prabhakar fractional derivative (k-HPFD) are calculated. In addition, we also obtain the natural transform of regularized versions of k-Prabhakar integral, k-Prabhakar derivative, k-HPFD. Finally, we solve v...

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Bibliographic Details
Main Authors: Ved Prakash Dubey, Jagdev Singh, Sarvesh Dubey, Dumitru Baleanu, Devendra Kumar
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818125000464
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