The \((k,s)\)-fractional calculus of \(k\)-Mittag-Leffler function

DOI10.1186/s13662-017-1176-4zbMath1422.26005OpenAlexW2606953315MaRDI QIDQ1631020

Y. Aharonov

Publication date: 5 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1176-4

zbMATH Keywords

Mittag-Leffler functionfractional integralfractional integral operatorfractional differential

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10) Inequalities for sums, series and integrals (26D15)

Related Items (13)

Erratum to: ``The \((k,s)\)-fractional calculus of \(k\)-Mittag-Leffler function ⋮ Some \(k\)-fractional extension of Grüss-type inequalities via generalized Hilfer-Katugampola derivative ⋮ Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function ⋮ On the Generalization of κ-Fractional Hilfer-Katugampola Derivative with Cauchy Problem ⋮ Generalized fractional operator with applications in mathematical physics ⋮ Fractional version of Ostrowski-type inequalities for strongly \(p\)-convex stochastic processes via a \(k\)-fractional Hilfer-Katugampola derivative ⋮ The new Mittag-Leffler function and its applications ⋮ Estimates of classes of generalized special functions and their application in the fractional \((k, s)\)-calculus theory ⋮ Harmonic Hermite–Hadamard Inequalities Involving Mittag-Leffler Function ⋮ Unnamed Item ⋮ Ostrowski-type inequalities for \(n\)-polynomial \(\mathscr{P} \)-convex function for \(k\)-fractional Hilfer-Katugampola derivative ⋮ On Grüss inequalities within generalized \(\mathcal{K}\)-fractional integrals ⋮ Analytical properties of \((q, k)\)-Mittag Leffler function

Cites Work

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