Results 31 to 40 of about 1,397,398 (207)

Left Riemann–Liouville Fractional Sobolev Space on Time Scales and Its Application to a Fractional Boundary Value Problem on Time Scales

Fractal and Fractional, 2022
First, we show the equivalence of two definitions of the left Riemann–Liouville fractional integral on time scales. Then, we establish and characterize fractional Sobolev space with the help of the notion of left Riemann–Liouville fractional derivative ...
Xing Hu, Yongkun Li
doaj   +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

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
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Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function

Fractal and Fractional, 2023
For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
doaj   +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

Some estimations on continuous random variables for (k, s) −fractional integral operators

Moroccan Journal of Pure and Applied Analysis, 2020
In this work, we establish some new (k, s) −fractional integral inequalities of continuous random variables by using the (k, s) −Riemann-Liouville fractional integral operator.
Houas Mohamed
doaj   +1 more source

Some results on integral inequalities via Riemann–Liouville fractional integrals [PDF]

Journal of Inequalities and Applications, 2019
In current continuation, we have incorporated the notion of $s- ( {\alpha,m} ) $ -convex functions and have established new integral inequalities. In order to generalize Hermite–Hadamard-type inequalities, some new integral inequalities of Hermite–Hadamard and Simpson type using $s- ( {\alpha,m} ) $ -convex function via Riemann–Liouville fractional ...
LI Xiao-ling, Shahid Qaisar, Jamshed Nasir, Saad Ihsan Butt, Farooq Ahmad, Mehwish Bari, Shan E. Farooq   +6 more
openaire   +4 more sources

Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices

Advances in Mathematical Physics, 2013
We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the ...
Mohsen Alipour, Dumitru Baleanu
doaj   +1 more source

On the Hermite–Hadamard type inequality for ψ-Riemann–Liouville fractional integrals via convex functions

Journal of Inequalities and Applications, 2019
In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions.
Kui Liu, JinRong Wang, Donal O’Regan
doaj   +1 more source

Properties of a subclass of analytic functions defined by Riemann-Liouville fractional integral applied to convolution product of multiplier transformation and Ruscheweyh derivative

Demonstratio Mathematica, 2023
The contribution of fractional calculus in the development of different areas of research is well known. This article presents investigations involving fractional calculus in the study of analytic functions. Riemann-Liouville fractional integral is known
Alb Lupaş Alina, Acu Mugur
doaj   +1 more source