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Fractional Multiplicative Bullen-Type Inequalities for Multiplicative Differentiable Functions

Hamid Boulares, Badreddine Meftah, Abdelkader Moumen, Ramsha Shafqat, Hicham Saber, Tariq Alraqad, Ekram E. Ali

2023Symmetry39 citationsDOIOpen Access PDF

Abstract

Various scholars have lately employed a wide range of strategies to resolve specific types of symmetrical fractional differential equations. In this paper, we propose a new fractional identity for multiplicatively differentiable functions; based on this identity, we establish some new fractional multiplicative Bullen-type inequalities for multiplicative differentiable convex functions. Some applications of the obtained results are given.

Topics & Concepts

Differentiable functionMultiplicative functionMathematicsIdentity (music)Type (biology)Convex functionPure mathematicsApplied mathematicsRegular polygonMathematical analysisGeometryEcologyPhysicsBiologyAcousticsMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsFractional Differential Equations Solutions
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