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Retracted: Retracted: Fuzzy Fractional Ostrowski Inequality With Caputo Differentiability (Retracted Article. See 2013)

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Date

2013

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Publisher

Springeropen

Open Access Color

GOLD

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No

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Abstract

The use of fractional inequalities in mathematical models is increasingly widespread in recent years. In this manuscript, we firstly propose the right Caputo derivative of fuzzy-valued functions about fractional order v (0 < v < 1). To this end, we consider two types of differentiability (similar to the non-fractional case). Then we derive the equivalent integral forms of original fuzzy fractional differential equations. Finally, we prove the fuzzy Ostrowski inequality involving three functions under Caputo's differentiability. In this regard, we state some new results.

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Keywords

Fuzzy Fractional Ostrowski Inequality, Fuzzy Caputo Differentiability, Hukuhara Difference, Fuzzy-Valued Function, Statistics and Probability, Artificial intelligence, Fractional Differential Equations, Economics, Fuzzy Differential Equations and Uncertainty Modeling, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Fractional Integrals, Differentiable function, FOS: Mathematics, Discrete Mathematics and Combinatorics, Functional Differential Equations, Order (exchange), Anomalous Diffusion Modeling and Analysis, Applied Mathematics, Fractional calculus, Pure mathematics, Linguistics, Generalized Differentiability, Applied mathematics, Computer science, FOS: Philosophy, ethics and religion, Fuzzy Differential Equations, Fuzzy logic, Philosophy, Fractional Derivatives, Inequality, Modeling and Simulation, Physical Sciences, FOS: Languages and literature, Fractional Calculus, Analysis, Finance, Mathematics, Hukuhara difference, Fuzzy real analysis, fuzzy fractional Ostrowski inequality, fuzzy Caputo differentiability, fuzzy-valued function

Fields of Science

01 natural sciences, 0103 physical sciences, 0101 mathematics

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Q1

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OpenCitations Citation Count
4

Source

Journal of Inequalities and Applications

Volume

2013

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CrossRef : 3

Scopus : 1

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Mendeley Readers : 10

SCOPUS™ Citations

1

checked on Feb 24, 2026

Web of Science™ Citations

5

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4

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