New Estimates Considering the Generalized Proportional Hadamard Fractional Integral Operators
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Date
2020
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Springer
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GOLD
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Abstract
In the article, we describe the Gruss type inequality, provide some related inequalities by use of suitable fractional integral operators, address several variants by utilizing the generalized proportional Hadamard fractional (GPHF) integral operator. It is pointed out that our introduced new integral operators with nonlocal kernel have diversified applications. Our obtained results show the computed outcomes for an exceptional choice to the GPHF integral operator with parameter and the proportionality index. Additionally, we illustrate two examples that can numerically approximate these operators.
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Keywords
Gruss Inequality, Fractional Calculus, Generalized Proportional Hadamard Fractional Integral Operator, Riemann-Liouville Fractional Integral Operator, Hadamard product, fractional calculus, Operator (biology), Generalized proportional Hadamard fractional integral operator, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Operator Inequalities, Fractional Integrals, Differential equation, Fractional derivatives and integrals, QA1-939, FOS: Mathematics, Hadamard three-lines theorem, Fourier integral operator, generalized proportional Hadamard fractional integral operator, Anomalous Diffusion Modeling and Analysis, Hadamard transform, Integral equation, Means, Integral operators, Applied Mathematics, Integral transform, Fractional calculus, Pure mathematics, Inequalities involving derivatives and differential and integral operators, Applied mathematics, Chemistry, Riemann-Liouville fractional integral operator, Modeling and Simulation, Physical Sciences, Grüss inequality, Kernel (algebra), Repressor, Riemann–Liouville fractional integral operator, Inequalities for sums, series and integrals, Fractional Calculus, Transcription factor, Mathematics, Ordinary differential equation
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01 natural sciences, 0101 mathematics
Citation
Zhou, Shuang-Shuang...et al. (2020). "New estimates considering the generalized proportional Hadamard fractional integral operators", Advances in Difference Equations, Vol. 2020, No. 1.
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Q1
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OpenCitations Citation Count
35
Source
Advances in Difference Equations
Volume
2020
Issue
1
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Scopus : 64
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