Results 231 to 240 of about 4,622 (261)

On the invariant subspaces of the fractional integral operator

2021
From the summary: We investigate the invariant subspaces of the fractional integral operator in the Banach space with certain conditions in this paper. Also, by using the Duhamel product method, unicellularity of the fractional integral operator on some space is obtained and the description of the invariant subspaces is given.
GÜRDAL, Mehmet, Ayyildiz, Meral, Nabiev, Anar Adiloglu   +2 more
openaire   +2 more sources

On unified fractional integral operators

Proceedings of the Indian Academy of Sciences - Section A, 1996
The present work of the author relates to the generalized fractional integral operators [the authors, Proc. Indian Acad. Sci., Math. Sci. 104, No. 2, 339-349 (1994; Zbl 0801.33014)] of Riemann-Liouville and Weyl types which have in their kernel certain polynomial system of \textit{H. M. Srivastava} [Indian J. Math.
Gupta, K. C., Soni, R. C.
openaire   +1 more source

Commutators with fractional integral operators

Studia Mathematica, 2016
Let \(\alpha\in(0,n)\). For a Schwartz function \(f\) on \(\mathbb{R}^n\), the fractional integral of \(f\) is defined, for any \(x\in\mathbb{R}^n\), by \[ I_\alpha(f)(x):=\int_{\mathbb{R}^n}\frac{f(y)}{|x-y|^{n-\alpha}}\,dy. \] Let \(p,\,q\in(1,\infty)\) and \(p':=p/(p-1)\). Then a function \(w\) on \(\mathbb{R}^n\) is said to belong to the \(A_{p,q}(\
Holmes, Irina, Rahm, Robert, Spencer, Scott   +2 more
openaire   +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 integrals for the Weinstein operator

Integral Transforms and Special Functions, 2020
In this paper, we study properly the fractional integrals Δw−μ/2, associated with the Weinstein operator, for all μ>0.
openaire   +1 more source

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, G. DONGOLA, GALLO, Antonio   +2 more
openaire   +3 more sources

Asymptotic Evaluation of Fractional Integral Operators with Applications

SIAM Journal on Mathematical Analysis, 1975
A technique is developed which yields an asymptotic expansion in the two limits $\lambda \to 0^ + $ and $\lambda \to \infty $ for the fractional integral operator of order $\mu $ with respect to the function $\lambda ^p $ given by $I_{\lambda ^p }^\mu f(\lambda )\frac{1}{{\Gamma (\mu )}}\int_0^\lambda {(\lambda ^p - \xi ^p )^{\mu - 1} p\xi ^{p - 1} f ...
Berger, Neil, Handelsman, Richard A.
openaire   +2 more sources

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

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

Generalized Fractional Integral Operator in a Complex Domain

Studia Universitatis Babes-Bolyai Matematica
A new fractional integral operator is used to present a generalized class of analytic functions in a complex domain. The method of definition is based on a Hadamard product of analytic function, which is called convolution product. Then we formulate a convolution integral operator acting on the sub-class of normalized analytic functions.
Dalia S. Ali, Rabha W. Ibrahim, Dumitru Băleanu, Nadia M.G. Al-Saidi   +3 more
openaire   +1 more source