Results 251 to 260 of about 73,328 (276)

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

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

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

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

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

New General Variants of Chebyshev Type Inequalities via Generalized Fractional Integral Operators

Mathematics, 2021
Ahmet Ocak Akdemir, Saad Ihsan Butt, Maria Alessandra Ragusa   +2 more
exaly  

New Fractional Integral Inequalities via k-Atangana–Baleanu Fractional Integral Operators

Fractal and Fractional, 2023
Seth Kermausuor, Eze R Nwaeze
exaly  

Fractional Differential and Integral Operators

2022
Abdon Atangana, Seda İgret Araz
openaire   +1 more source

Fractional integral operators on Orlicz slice Hardy spaces

Fractional Calculus and Applied Analysis, 2022
Kwok-Pun Ho
exaly  

Some New Results on Hermite–Hadamard–Mercer-Type Inequalities Using a General Family of Fractional Integral Operators

Fractal and Fractional, 2021
Erhan Set, Barış Çeli̇k
exaly