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Fractional Integrative Operator and Its FPGA Implementation
Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 2009In this paper the fractional order integrative operator s−m, where m is a real positive number, is approximated via a mathematical formula and then an hardware implementation of fractional integral operator is proposed using Field Programmable Gate Array (FPGA).
CAPONETTO, Riccardo +2 more
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New Fractional Inequalities Involving Saigo Fractional Integral Operator
Mathematical Sciences Letters, 2014The aim of this paper is to obtain some new results related to Minkowski fractional integral inequality and other integra l inequalities using Saigo fractional integral .
Vaijanath L. Chinchane +1 more
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Fractional integral operators on Orlicz slice Hardy spaces
Fractional Calculus and Applied Analysis, 2022K. Ho
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Mathematical methods in the applied sciences, 2018
Motivated by the demonstrated potential for their applications in various research areas such as those in mathematical, physical, engineering, and statistical sciences, our main object in this paper is to introduce and investigate a fractional integral ...
H. Srivastava, M. Bansal, P. Harjule
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Motivated by the demonstrated potential for their applications in various research areas such as those in mathematical, physical, engineering, and statistical sciences, our main object in this paper is to introduce and investigate a fractional integral ...
H. Srivastava, M. Bansal, P. Harjule
semanticscholar +1 more source
Fractional powers of operators and Riesz fractional integrals
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1989SynopsisIn this paper, a theory of fractional powers of operators due to Balakrishnan, which is valid for certain operators on Banach spaces, is extended to Fréchet spaces. The resultingtheory is shown to be more general than that developed in an earlier approach by Lamb, and is applied to obtain mapping properties of certain Riesz fractional integral ...
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Fractional Newton‐type integral inequalities for the Caputo fractional operator
Mathematical Methods in the Applied SciencesIn this paper, we present a set of Newton‐type inequalities for n‐times differentiable convex functions using the Caputo fractional operator, extending classical results into the fractional calculus domain. Our exploration also includes the derivation of Newton‐type inequalities for various classes of functions by employing the Caputo fractional ...
Yukti Mahajan, Harish Nagar
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Some integral inequalities involving Saigo fractional integral operators
Journal of Interdisciplinary Mathematics, 2018In this paper, the Saigo fractional integral operator is used to generate some new integral inequalities.
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Some Multiplicity Results for Integration and Fractional Integration Operators
Journal of Fourier Analysis and ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractional Integral Inequalities Using Marichev-Saigo- Maeda Fractional Integral Operator
Progress in Fractional Differentiation and Applications, 2021openaire +1 more source

