Hardy-Type Inequalities Within Fractional Derivatives Without Singular Kernel

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Abstract

In this manuscript, we developed the Hardy-type inequality within the Caputo-Fabrizio fractional derivative. We presented some illustrative examples to confirm our work.

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Keywords

Hardy-Type Inequality, Caputo-Fabrizio Fractional Derivative, Caputo–Fabrizio Fractional Derivative, Financial economics, Hardy-Type Inequality, Fractional Differential Equations, Economics, Hardy space, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Fractional Integrals, Caputo-Fabrizio Fractional Derivative, QA1-939, FOS: Mathematics, Biology, Anomalous Diffusion Modeling and Analysis, Ecology, Applied Mathematics, FOS: Clinical medicine, Fractional calculus, Pure mathematics, Hardy-type inequality, Caputo–Fabrizio fractional derivative, Applied mathematics, Fractional Derivatives, Singular Kernel, Inequality, Modeling and Simulation, Derivative (finance), FOS: Biological sciences, Dentistry, Physical Sciences, Kernel (algebra), Medicine, Fractional Calculus, Calculus (dental), Type (biology), Mathematics, Fractional derivatives and integrals, Caputo-Fabrizio fractional derivative, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals

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01 natural sciences, 0101 mathematics

Citation

Basci, Yasemin; Baleanu, Dumitru (2018). Hardy-type inequalities within fractional derivatives without singular kernel, Journal of Inequalities and Applications.

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8

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2018

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Scopus : 10

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10

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9

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3

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