Prabhakar and Hilfer-Prabhakar Fractional Derivatives in the Setting of $\Psi$-Fractional Calculus and Its Applications
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Authors: S. K. MAGAR, P. V. DOLE AND K. P. GHADLE
DOI: 10.46793/KgJMat2404.515M
Abstract:
The aim of this paper is to study to fractional calculus for class of Ψ function. The present study is designed to study generalized fractional derivatives and find their generalized transforms called Ψ-Laplace transform and Ψ-Sumudu transform. Moreover, find the analytical solutions of some applications in physics the form of generalized fractional derivatives by transform technique.
Keywords:
Ψ-Fractional calculus, fractional calculus, k-Prabhakar derivative, k-Hilfer-Prabhakar derivative, k-Mittag-Leffler function, generalized integral transforms.
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