GENERALIZED k-FRACTIONAL CONFORMABLE INTEGRALS AND RELATED INEQUALITIES

Siddra Habib (1) , Shahid Mubeen (2) , Muhammad Nawaz Naeem (1) , Feng Qi (3, 4, 5)

1 Government College University Faisalabad
2 University of Sargodha
3 Henan Polytechnic University
4 Tianjin Polytechnic University
5 UESTC - University of Electronic Science and Technology of China [Chengdu]

In the paper, the authors introduce the generalized k-fractional conformable integrals, which are the k-analogues of the recently introduced fractional conformable integrals and can be reduced to other fractional inte-grals under specific values of the parameters involved, prove the existence of k-fractional conformable integrals, and generalize some integral inequalities to ones for generalized k-fractional conformable integrals.

Mots clés: left $k$-fractional conformable integral; right $k$-fractional conformable integral; fractional integral inequality

Domaines: Analyse classique [math.CA]

Siddra Habib, Shahid Mubeen, Muhammad Nawaz Naeem, Feng Qi. GENERALIZED k-FRACTIONAL CONFORMABLE INTEGRALS AND RELATED INEQUALITIES: Generalized $k$-fractional conformable integrals. 2018. ⟨hal-01788916v1⟩