Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels
By Arran Fernandez, Pshtiwan Othman Mohammed. Mathematical methods in the applied sciences, 2020
97 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/908b7d52c7e6f5f206f0504075109b08f6fd6bef
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In Applied Mathematics
- Artion Kashuri
- Thabet Abdeljawad
- Pshtiwan Othman Mohammed
- Dumitru Băleanu
- Mehmet Yavuz
- Fahd Jarad
- Guo-cheng Wu
- Emrah Ünal
In Modeling and Simulation
- Pshtiwan Othman Mohammed
- Artion Kashuri
- Thabet Abdeljawad
- Dumitru Băleanu
- Mehmet Yavuz
- Fahd Jarad
- Guo-cheng Wu
- Arran Fernandez
Citations in the corpus
- New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications (2020, methodology): “There are many possible ways of defining fractional operators: Riemann–Liouville, Caputo, tempered, Marchaud, Atangana-Baleanu, and Hilfer.”
- Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel (2020, result): “In fact, our findings generalize those in [19].”