
doi: 10.1002/mma.6978
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.
conformable fractional derivative, conformable fractional integral, Hermite-Hadamard inequality, Fractional derivatives and integrals, Inequalities for sums, series and integrals, Convexity of real functions in one variable, generalizations, preinvex function
conformable fractional derivative, conformable fractional integral, Hermite-Hadamard inequality, Fractional derivatives and integrals, Inequalities for sums, series and integrals, Convexity of real functions in one variable, generalizations, preinvex function
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