Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Variable order R-L fractional calculus and its Applications
View through CrossRef
This paper presents a concise study of variable-order fractional calculus using the Riemann-Liouville approach. Specifically, we consider the Mittag-Leffler function with a single parameter as the order for both Riemann-Liouville fractional differentiation (FD) and fractional integration (FI). The study explores the impact of varying the parameter in the Mittag-Leffler (M-L) function and applies this variable-order fractional operator to polynomial functions of different degrees. For clarity and completeness, the behavior of the Mittag-Leffler-based Riemann-Liouville fractional calculus is examined both theoretically and graphically.
Title: Variable order R-L fractional calculus and its Applications
Description:
This paper presents a concise study of variable-order fractional calculus using the Riemann-Liouville approach.
Specifically, we consider the Mittag-Leffler function with a single parameter as the order for both Riemann-Liouville fractional differentiation (FD) and fractional integration (FI).
The study explores the impact of varying the parameter in the Mittag-Leffler (M-L) function and applies this variable-order fractional operator to polynomial functions of different degrees.
For clarity and completeness, the behavior of the Mittag-Leffler-based Riemann-Liouville fractional calculus is examined both theoretically and graphically.
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...
A REVIEW ON FRACTIONAL CALCULUS AND ITS APPLICATIONS IN ENGINEERING
A REVIEW ON FRACTIONAL CALCULUS AND ITS APPLICATIONS IN ENGINEERING
The main purpose of this research is to explore the evolution of fractional calculus from its inception to its diverse applications in science and engineering. The concept of calcu...
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...
An Analysis of Periodic Motion Using Fractional Calculus
An Analysis of Periodic Motion Using Fractional Calculus
Fractional calculus has gained significant attention from engineers because of its ability to generalisethe concept of derivatives to non-integer orders. This study explores the ap...
REVIEW OF THE CONFORMABLE CALCULUS AND SOME APPLICATIONS
REVIEW OF THE CONFORMABLE CALCULUS AND SOME APPLICATIONS
The most important characteristics of conformable integrals and
derivatives have recently been explored in the literature
[1][2]. In this work, we delve into the newly emerging fie...
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...
Gohar Fractional Derivative: Theory and Applications
Gohar Fractional Derivative: Theory and Applications
The local fractional derivatives marked the beginning of a new era in fractional calculus. Due to their that have never been observed before in the field, they are able to fill in ...
Increased life expectancy of heart failure patients in a rural center by a multidisciplinary program
Increased life expectancy of heart failure patients in a rural center by a multidisciplinary program
Abstract
Funding Acknowledgements
Type of funding sources: None.
INTRODUCTION Patients with heart failure (HF)...