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Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels
Author(s) -
Fernandez Arran,
Mohammed Pshtiwan
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6188
Subject(s) - mathematics , fractional calculus , hadamard transform , hermite polynomials , context (archaeology) , inequality , calculus (dental) , pure mathematics , algebra over a field , mathematical analysis , medicine , dentistry , paleontology , biology
We consider the Hermite‐Hadamard inequality and related results on integral inequalities, in the context of fractional integrals and derivatives defined using Mittag‐Leffler kernels, specifically the Atangana‐Baleanu and Prabhakar models of fractional calculus.