Results 31 to 40 of about 599,088 (208)

Approximation with Riemann-Liouville fractional derivatives [PDF]

open access: yesStudia Universitatis Babes-Bolyai Matematica, 2019
n this article we study quantitatively with rates the pointwise convergence of a sequence of positive sublinear operators to the unit operator over continuous functions. This takes place under low order smothness,less than one, of the approximated function and it is expressed via the left and right Riemann-Liouville fractional derivatives of it.
openaire   +1 more source

Solution of Fractional Order Equations in the Domain of the Mellin Transform

open access: yesJournal of Nigerian Society of Physical Sciences, 2019
This paper presents the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology.
Sunday Emmanuel Fadugba
doaj   +1 more source

Geometry of curves with Riemann-Liouville fractional derivative

open access: yes, 2023
Yüksek LisansBu tez çalışmasında Riemann-Liouville kesirli türev operatörü yardımıyla ?^2 ve ?^3 uzayında eğrilerin diferansiyel geometrisi çalışılmıştır.
Arslan, Fatma
core   +1 more source

Nabla Fractional Derivative and Fractional Integral on Time Scales

open access: yesAxioms, 2021
In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense.
Bikash Gogoi   +4 more
doaj   +1 more source

Sturm-Liouville Problem with Mixed Boundary Conditions for a Differential Equation with a Fractional Derivative and Its Application in Viscoelasticity Models

open access: yesAxioms, 2023
In this study, we obtained a system of eigenfunctions and eigenvalues for the mixed homogeneous Sturm-Liouville problem of a second-order differential equation containing a fractional derivative operator.
Ludmila Kiryanova, Tatiana Matseevich
doaj   +1 more source

Degenerate Linear Evolution Equations with the Riemann–Liouville Fractional Derivative

open access: yesSiberian Mathematical Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fedorov, V. E.   +2 more
openaire   +2 more sources

Analysis and Modeling of Fractional-Order Buck Converter Based on Riemann-Liouville Derivative

open access: yesIEEE Access, 2019
In previous studies, researchers used the fractional definition of Caputo to study fractional-order power converter. However, it is found that the model based on Caputo fractional definition is inconsistent with the actual situation.
Zhihao Wei, Bo Zhang, Yanwei Jiang
doaj   +1 more source

The Riemann–Liouville fractional derivative for Ambartsumian equation

open access: yesResults in Physics, 2020
La ecuación de Ambartsumian, basada en la derivada fraccionaria modificada de Riemann–Liouville, se analiza en este trabajo. La solución se expresa como una serie de potencias de potencias arbitrarias y se ha comprobado su convergencia. Además, mostramos que la presente solución se reduce a los resultados en la literatura cuando la derivada ...
Essam R. El‐Zahar   +4 more
openaire   +2 more sources

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

open access: yesAdvances 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

Mathematical Model of Fractional Duffing Oscillator with Variable Memory

open access: yesMathematics, 2020
The article investigates a mathematical model of the Duffing oscillator with a variable fractional order derivative of the Riemann–Liouville type. The study of the model is carried out using a numerical scheme based on the approximation of the fractional
Valentine Kim, Roman Parovik
doaj   +1 more source

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