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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, 2009
In 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
openaire   +3 more sources

New Fractional Inequalities Involving Saigo Fractional Integral Operator

Mathematical Sciences Letters, 2014
The 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
openaire   +1 more source

A Class of Fractional Integral Operators Involving a Certain General Multiindex Mittag-Leffler Function

Ukrainian Mathematical Journal, 2023
H. M. Srivastava   +2 more
semanticscholar   +1 more source

Fractional integral operators on Orlicz slice Hardy spaces

Fractional Calculus and Applied Analysis, 2022
K. Ho
semanticscholar   +1 more source

A study of fractional integral operators involving a certain generalized multi‐index Mittag‐Leffler function

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
semanticscholar   +1 more source

Fractional powers of operators and Riesz fractional integrals

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1989
SynopsisIn 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 ...
openaire   +1 more source

Fractional Newton‐type integral inequalities for the Caputo fractional operator

Mathematical Methods in the Applied Sciences
In 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
openaire   +2 more sources

Some integral inequalities involving Saigo fractional integral operators

Journal of Interdisciplinary Mathematics, 2018
In this paper, the Saigo fractional integral operator is used to generate some new integral inequalities.
openaire   +1 more source

Some Multiplicity Results for Integration and Fractional Integration Operators

Journal of Fourier Analysis and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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