New fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator
Copyright policy )New fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator
<abstract><p>It's undeniably true that fractional calculus has been the focus point for numerous researchers in recent couple of years. The writing of the Caputo-Fabrizio fractional operator has been on many demonstrating and real-life issues. The main objective of our article is to improve integral inequalities of Hermite-Hadamard and Pachpatte type incorporating the concept of preinvexity with the Caputo-Fabrizio fractional integral operator. To further enhance the recently presented notion, we establish a new fractional equality for differentiable preinvex functions. Then employing this as an auxiliary result, some refinements of the Hermite-Hadamard type inequality are presented. Also, some applications to special means of our main findings are presented.</p></abstract>
- Mehran University of Engineering and Technology Pakistan
- Istanbul Commerce University Turkey
- Siksha O Anusandhan University India
- King Khalid University Saudi Arabia
- Biruni University Turkey
Hölder-İşcan Inequality, Biochemistry, Gene, Fractional Integrals, power-mean inequality, Power-mean inequality, Hermite polynomials, preinvex functions, Ecology, hermite-hadamard inequality, Applied Mathematics, Stability of Functional Equations in Mathematical Analysis, Power-Mean Inequality, Chemistry, Physical Sciences, Medicine, Hermite-Hadamard Inequalities, Calculus (dental), Type (biology), Caputo-Fabrizio fractional integral, hölder-i̇şcan inequality, Operator (biology), Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Operator Inequalities, Preinvex functions, Differentiable function, Caputo-Fabrizio Fractional Integral, QA1-939, FOS: Mathematics, Preinvex Functions, Biology, Hadamard transform, Hermite-Hadamard Inequality, hölder inequality, Algebra over a field, FOS: Clinical medicine, ta111, Fractional calculus, Pure mathematics, Applied mathematics, Holder inequality, Hermite-Hadamard inequality, Inequality, FOS: Biological sciences, Dentistry, Repressor, caputo-fabrizio fractional integral, Hölder Inequality, Transcription factor, Mathematics
Hölder-İşcan Inequality, Biochemistry, Gene, Fractional Integrals, power-mean inequality, Power-mean inequality, Hermite polynomials, preinvex functions, Ecology, hermite-hadamard inequality, Applied Mathematics, Stability of Functional Equations in Mathematical Analysis, Power-Mean Inequality, Chemistry, Physical Sciences, Medicine, Hermite-Hadamard Inequalities, Calculus (dental), Type (biology), Caputo-Fabrizio fractional integral, hölder-i̇şcan inequality, Operator (biology), Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Operator Inequalities, Preinvex functions, Differentiable function, Caputo-Fabrizio Fractional Integral, QA1-939, FOS: Mathematics, Preinvex Functions, Biology, Hadamard transform, Hermite-Hadamard Inequality, hölder inequality, Algebra over a field, FOS: Clinical medicine, ta111, Fractional calculus, Pure mathematics, Applied mathematics, Holder inequality, Hermite-Hadamard inequality, Inequality, FOS: Biological sciences, Dentistry, Repressor, caputo-fabrizio fractional integral, Hölder Inequality, Transcription factor, Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).10 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!