Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives

DOI10.1007/978-3-319-31317-7_2zbMath1370.26036arXiv1409.5888OpenAlexW1853243948MaRDI QIDQ5359530

Douglas R. Anderson

Publication date: 25 September 2017

Published in: Contributions in Mathematics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5888

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15)

Related Items (26)

Optical solitons of space-time fractional Fokas-Lenells equation with two versatile integration architectures ⋮ New bounds for the Ostrowski-type inequalities via conformable fractional calculus ⋮ Hermite-Hadamard-Fejér inequalities for conformable fractional integrals via preinvex functions ⋮ Conformable integral inequalities of the Hermite-Hadamard type in terms of GG- and GA-convexities ⋮ Conformable fractional integrals versions of Hermite-Hadamard inequalities and their generalizations ⋮ A derivative-type operator and its application to the solvability of a nonlinear three point boundary value problem ⋮ Conformable fractional approximations by max-product operators using convexity ⋮ Spectral expansion for singular conformable fractional Dirac systems ⋮ Generalization of Hermite-Hadamard type inequalities via conformable fractional integrals ⋮ One-dimensional conformable fractional Dirac system ⋮ Calculus of variations and optimal control with generalized derivative ⋮ Conformable Fractional Inequalities ⋮ Unnamed Item ⋮ New inequalities of Opial type for conformable fractional integrals ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On weighted Iyengar-type inequalities for conformable fractional integrals ⋮ Inequalities for \(\alpha\)-fractional differentiable functions ⋮ Hermite-Hadamard type inequalities for conformable fractional integrals ⋮ Opial-type inequalities for conformable fractional integrals ⋮ Unnamed Item ⋮ Inequalities involving conformable approach for exponentially convex functions and their applications ⋮ Some new Hermite-Hadamard-type inequalities associated with conformable fractional integrals and their applications ⋮ The Minkowski inequality involving generalized \(k\)-fractional conformable integral ⋮ Unnamed Item ⋮ Weighted inequalities involving conformable integrals and its applications for random variable and numerical integration

This page was built for publication: Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives