Inequalities for new class of fractional integral operators

Khan, Hasib ¹ ; Sun, Hongguang ² ; Chen, Wen ² ; Baleanu, Dumitru ³

¹ College of Engineering, Mechanics and Materials, Hohai University, 211100, Nanjing, P. R. China;Department of Mathematics, Shaheed Benazir Bhutto University Sheringal, Dir Upper, 18000, Khyber Pakhtunkhwa, Pakistan
² College of Engineering, Mechanics and Materials, Hohai University, 211100, Nanjing, P. R. China
³ College of Engineering, Mechanics and Materials, Hohai University, 211100, Nanjing, P. R. China;Department of Mathematics, Cankaya University, 06530 Ankara, Turkey;Institute of Space Sciences, P. O. BOX, MG-23, 76900 Magrrele-Bucharest, Romania

Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 12, p. 6166-6176.

Résumé

The applications of fractional order integrals have promoted the study of inequalities. In this paper, we utilize recently introduced left- and right-fractional conformable integrals (FCI) for a class of decreasing $n$ positive functions such that $n\in N$, for the generalization of existing integral inequalities. Our results have the potentials to be used for the investigation of positive solutions of different classes of fractional differential equations.

Détail

DOI : 10.22436/jnsa.010.12.04

Classification : 26D10, 26A33
Keywords: Fractional integral inequalities, left-fractional conformable integral, right-fractional conformable integral

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