Hadamard’s inequality and its extensions for conformable fractional integrals of any order α>0


Set, Erhan, Akdemir, Ahmet Ocak and Mumcu, İ.


Abstract

creative_2018_27_2_197_206_abstract

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creative_2018_27_2_197_206

Recently the authors Abdeljawad [Abdeljawad, T., On conformable fractional calculus, J. Comput. Appl. Math., 279 (2015), 57-66] and Khalil et al. [Khalil, R., Horani, M. Al., Yousef, A. and Sababheh, M., A new definition of fractional derivative, J. Comput. Appl. Math.,  264 (2014), 65-70] introduced a new and simple well-behaved concept of fractional integral called conformable fractional integral. In this article, we establish Hermite-Hadamard’s inequalities for conformable fractional integral. We also give extensions of Hermite-Hadamard type inequalities for conformable fractional integrals.

 

 

 

 

 

 

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Author(s)

Set, Erhan, Akdemir, Ahmet Ocak, Mumcu, İ.