Journal Articles AIMS Mathematics Year : 2019

GENERALIZED k-FRACTIONAL CONFORMABLE INTEGRALS AND RELATED INEQUALITIES

Abstract

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 integrals under specific values of the parameters involved. Hereafter, the authors prove the existence of $k$-fractional conformable integrals. Finally, the authors generalize some integral inequalities to ones for generalized $k$-fractional conformable integrals.
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hal-01788916 , version 1 (09-05-2018)
hal-01788916 , version 2 (19-01-2020)

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Feng Qi, Siddra Habib, Shahid Mubeen, Muhammad Nawaz Naeem. GENERALIZED k-FRACTIONAL CONFORMABLE INTEGRALS AND RELATED INEQUALITIES. AIMS Mathematics, 2019, 4 (3), pp.343--358. ⟨10.3934/math.2019.3.343⟩. ⟨hal-01788916v2⟩
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