Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Some new fractional q-integral Grüss-type inequalities and other inequalities
View through CrossRef
Abstract
In this paper, we employ a fractional q-integral on the specific time scale,
T
t
0
=
{
t
:
t
=
t
0
q
n
,
n
a nonnegative integer
}
∪
{
0
}
, where
t
0
∈
R
and
0
<
q
<
1
, to establish some new fractional q-integral Grüss-type inequalities by using one or two fractional parameters. Furthermore, other fractional q-integral inequalities are also obtained.
MSC:26D10, 26A33.
Springer Science and Business Media LLC
Title: Some new fractional q-integral Grüss-type inequalities and other inequalities
Description:
Abstract
In this paper, we employ a fractional q-integral on the specific time scale,
T
t
0
=
{
t
:
t
=
t
0
q
n
,
n
a nonnegative integer
}
∪
{
0
}
, where
t
0
∈
R
and
0
<
q
<
1
, to establish some new fractional q-integral Grüss-type inequalities by using one or two fractional parameters.
Furthermore, other fractional q-integral inequalities are also obtained.
MSC:26D10, 26A33.
Related Results
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Background: The dynamics of fractional oscillators are generally described by fractional differential equations, which include the fractional derivative of the Caputo or Riemann-Li...
Ostrowski-Type Fractional Integral Inequalities: A Survey
Ostrowski-Type Fractional Integral Inequalities: A Survey
This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional ...
Application of Fractional Integral Transform in Fuzzy Differential Equations
Application of Fractional Integral Transform in Fuzzy Differential Equations
This chapter has included the application of fractional integral transform in the fuzzy field by presenting the solution of fuzzy fractional differential equations with the help of...
On α-Fractional Bregman Divergence to study α-Fractional Minty’s Lemma
On α-Fractional Bregman Divergence to study α-Fractional Minty’s Lemma
In this paper fractional variational inequality problems (FVIP) and dual fractional variational inequality problems (DFVIP), Fractional minimization problems are defined with the h...
A Method to Extend the Riemann-Liouville Fractional Integral
A Method to Extend the Riemann-Liouville Fractional Integral
In this paper, we examine the restricted orders of the Riemann-Liouville Fractional Integral. Specifically, the Riemann-Liouville Fractional Integral exists solely for orders α ∣ R...
On Λ-Fractional fluid mechanics
On Λ-Fractional fluid mechanics
Λ-fractional analysis has already been presented as the only fractional analysis conforming with the Differential Topology prerequisites. That is, the Leibniz rule and chain rule d...
A fractional-order 4D chaotic electronic circuit based on the Caputo–Fabrizio derivative: modeling, theoretical analysis and numerical simulation
A fractional-order 4D chaotic electronic circuit based on the Caputo–Fabrizio derivative: modeling, theoretical analysis and numerical simulation
Purpose
This paper introduces a novel four-dimensional chaotic electronic circuit modeled using the Caputo–Fabrizio (CF) Fractional derivative (FD), which featu...
Soham Transform in Fractional Differential Equations
Soham Transform in Fractional Differential Equations
Objectives: Soham transforms is one of the appropriate tools for solving fractional differential equations that are flexible enough to adapt to different purposes. Methods: Integra...