On the fractional probabilistic Taylor's and mean value theorems

DOI10.1515/fca-2016-0050zbMath1385.60043arXiv1611.01686OpenAlexW3099096399MaRDI QIDQ309301

Alessandra Meoli, Antonio Di Crescenzo

Publication date: 7 September 2016

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01686

zbMATH Keywords

fractional calculusmean value theoremgeneralized Taylor formulacharacterization of exponential distributionfractional equilibrium distributionsurvival bounded order

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Fractional derivatives and integrals (26A33) Distribution theory (60E99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized Taylor's formula
• A probabilistic generalization of Taylor's theorem
• On a Riemann-Liouville generalized Taylor's formula
• On a probabilistic generalization of Taylor's theorem
• Life distributions. Structure of nonparametric, semiparametric, and parametric families.
• A family of the Cauchy type mean-value theorems
• Convergence of a sequence of transformations of distribution functions
• ON THE FRACTIONAL MEAN-VALUE THEOREM
• A probabilistic analogue of the mean value theorem and its applications to reliability theory
• Fractional Moments of Solutions to Stochastic Recurrence Equations
• Mittag-Leffler Functions, Related Topics and Applications

This page was built for publication: On the fractional probabilistic Taylor's and mean value theorems