Results 11 to 20 of about 1,396,623 (126)

A Two Points Taylor's Formula for the Generalised Riemann Integral [PDF]

, 2008
A two points Taylor’s formula for the generalised Riemann integral and various bounds for the remainder are established.
Thompson, H. B, Dragomir, Sever S
core   +6 more sources

Compactness of Riemann–Liouville fractional integral operators [PDF]

, 2020
We obtain results on compactness of two linear Hammerstein integral operators with singularities, and apply the results to give new proof that Riemann–Liouville fractional integral operators of order $\alpha\in (0,1)$ map $L^{p}(0,1)$ to $C[0,1]$ and ...
Lan, Kunquan, Kunquan Lan, Lan Kunquan
core   +1 more source

Evaluating an Improper Fractional Integral Based on Jumarie's Modified Riemann-Liouville Fractional Calculus

, 2023
: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, we find the solution of some type of improper fractional integral.
Chii-Huei Yu
core   +1 more source

Stabilization of a fractional-order chain of integrators: a contraction-based approach [PDF]

, 2013
In this paper, stabilization of a chain of fractional-order integrators is attempted. The stability is proved using contraction analysis.
SPURGEON, S, Spurgeon, Sarah K., Kamal, S., KAMAL, S, BANDYOPADHYAY, B, Bandyopadhyay, B., Spurgeon, S., Bandyopadhyay, Bijan, Kamal, Shyam   +8 more
core   +1 more source

Fractional variational problems depending on indefinite integrals [PDF]

, 2012
We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor, Pooseh, S., Almeida, R., Almeida, Ricardo, Delfim F.M. Torres, Shakoor Pooseh, Torres, D.F.M., Ricardo Almeida, Torres, Delfim F. M.   +8 more
core   +1 more source

Riemann–Liouville fractional integral of non-affine fractal interpolation function and its fractional operator

, 2021
This paper mainly investigates the Riemann–Liouville fractional integral of $$\alpha $$-fractal function and fractional operator of $$\alpha $$-fractal function that maps the given continuous function to its Riemann–Liouville fractional integral.
T. M. C. Priyanka, A. Gowrisankar
core   +1 more source

On some generalized integral inequalities for riemann-liouville fractional integrals [PDF]

, 2014
YÖK Tez No: 379797Kesirli analiz teorisi son on yıldır ciddi bir gelişme gösterdiği çok iyi bilinmektedir. Kesirli integral ve türevler, reel nesnel ve işlemlerin matematiksel modellemesinin yeterince sağladığını gösteriyor.
Filiz, Hatice
core   +2 more sources

Riemann–Liouville Fractional Fundamental Theorem of Calculus and Riemann–Liouville Fractional Polya Integral Inequality and the Generalization to Choquet Integral Case

, 2020
Here we present the right and left Riemann–Liouville fractional fundamental theorems of fractional calculus without any initial conditions for the first time.
Anastassiou, George A., George A. Anastassiou   +1 more
core   +1 more source

An Alternative Definition for the k-Riemann-Liouville Fractional Derivative [PDF]

, 2015
Copyright c © 2014 Gustavo Abel Dorrego. This is an open access article distributed un-der the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly ...
Dorrego, Gustavo, Dorrego, Gustavo Abel, Gustavo Abel Dorrego   +2 more
core   +1 more source

Fractional variational problems with the Riesz-Caputo derivative [PDF]

, 2012
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R., Almeida, Ricardo, Ricardo Almeida   +2 more
core   +1 more source