New Hermite-Hadamard inequalities in fuzzy-interval fractional calculus via exponentially convex fuzzy interval-valued function

Abstract

In the present note, we develop Hermite-Hadamard type inequality and He's inequality for exponential type convex fuzzy interval-valued functions via fuzzy Riemann-Liouville fractional integral and fuzzy He's fractional integral. Moreover, we establish Hermite-Fejér inequality via fuzzy Riemann-Liouville fractional integral.

Keywords

• convex function
• exponential type convex function
• convex fuzzy interval-valued function
• exponential type convex fuzzy interval-valued function
• fuzzy fractional integral operator
• he's fuzzy fractional derivative
• hermite-hadamard type inequality
• hermite-hadamard fejér type inequality