Hermite–Hadamard–Fejér inequalities for generalized conformable fractional integrals

In this paper, we study generalized definitions of left and right conformable fractional derivative and integrals. Some applications of the generalized definition are also given for the nonlinear fractional differential equations. We also establish identities associated with the left‐ and right‐hand...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 44; no. 5; pp. 3746 - 3758
Main Authors Mehmood, Sikander, Zafar, Fiza, Yasmin, Nusrat
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 30.03.2021
Subjects
conformable fractional derivative
conformable fractional integral
Differential equations
Fractional calculus
Hermite–Hadamard
Identities
Inequalities
Integrals
preinvex function
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Summary:In this paper, we study generalized definitions of left and right conformable fractional derivative and integrals. Some applications of the generalized definition are also given for the nonlinear fractional differential equations. We also establish identities associated with the left‐ and right‐hand side of Hermite–Hadamard–Fejér inequality for preinvex functions. We, then, give some new bounds for the Hermite–Hadamard–Fejér inequalities for preinvex functions using the generalized conformable fractional integrals.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6978