Geodesic
Prabhakar and Hilfer-Prabhakar Fractional Derivatives in the Setting of $\Psi$-Fractional Calculus and Its Applications
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 4, p. 515 .

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The aim of this paper is to study to fractional calculus for class of $\Psi$ function. The present study is designed to study generalized fractional derivatives and find their generalized transforms called $\Psi$-Laplace transform and $\Psi$-Sumudu transform. Moreover, find the analytical solutions of some applications in physics the form of generalized fractional derivatives by transform technique.
DOI : 10.46793/KgJMat2404.515M
Classification : 26A33
Keywords: $\Psi$-Fractional calculus, fractional calculus, k-Prabhakar derivative, k-Hilfer-Prabhakar derivative, k-Mittag-Leffler function, generalized integral transforms 
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Sachin K. Magar; Pravinkumar V. Dole; Kirtiwant P. Ghadle. Prabhakar and Hilfer-Prabhakar Fractional Derivatives in the Setting of $\Psi$-Fractional Calculus and Its Applications. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 4, p. 515 . doi : 10.46793/KgJMat2404.515M. http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2404.515M/

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