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- W2790753007 abstract "Motivated by the ${rm Psi}$-Riemann-Liouville $({rm Psi-RL})$ fractional derivative and by the ${rm Psi}$-Hilfer $({rm Psi-H})$ fractional derivative, we introduced a new fractional operator the so-called $rmPsi-$fractional integral. We present some important results by means of theorems and in particular, that the $rmPsi-$fractional integration operator is limited. In this sense, we discuss some examples, in particular, involving the Mittag-Leffler $({rm M-L})$ function, of paramount importance in the solution of population growth problem, as approached. On the other hand, we realize a brief discussion on the uniqueness of nonlinear $Psi$-fractional Volterra integral equation (${rm VIE}$) using $beta-$distance functions." @default.
- W2790753007 created "2018-03-29" @default.
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- W2790753007 date "2017-10-10" @default.
- W2790753007 modified "2023-09-27" @default.
- W2790753007 title "On the $mathbf{rmPsi}-$fractional integral and applications" @default.
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