Results 51 to 60 of about 4,793 (184)

On a New Modification of the Erdélyi–Kober Fractional Derivative

Fractal and Fractional, 2021
In this paper, we introduce a new Caputo-type modification of the Erdélyi–Kober fractional derivative. We pay attention to how to formulate representations of Erdélyi–Kober fractional integral and derivatives operators.
Zaid Odibat, Dumitru Baleanu
doaj   +1 more source

Quantifying Consumer Tradeoffs Across Firm‐Level Strategic Positioning Dimensions: Evidence from US Craft Beer Consumers

Agribusiness, EarlyView.
ABSTRACT Strategic positioning becomes increasingly important as markets mature, particularly in consumer‐facing industries that offer similar products, experiential cues, and values‐based messages. This study offers a conceptual model to examine the strategic positioning factors that motivate consumers to visit one local business over another before ...
Aaron J. Staples, Trey Malone, J. Robert Sirrine   +2 more
wiley   +1 more source

On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative

Journal of Function Spaces, 2016
The existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined.
Ahmed Alsaedi, Dumitru Baleanu, Sina Etemad, Shahram Rezapour   +3 more
doaj   +1 more source

A new Definition of Fractional Derivative and Fractional Integral [PDF]

Kirkuk Journal of Science, 2018
In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed.
Ahmed M. Kareem
doaj   +1 more source

On the stable numerical evaluation of caputo fractional derivatives

Computers & Mathematics with Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems

Asian Journal of Control, EarlyView.
Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi, Omar Naifar, Imed Bouzida   +2 more
wiley   +1 more source

A Simple and Effective Second-Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo-Tempered Fractional Derivative

Advances in Mathematical Physics
This paper presents an efficient numerical scheme for the space–time tempered fractional convection–diffusion equation, where the time derivative is the Caputo-tempered fractional derivative and the space derivatives are the normalized left and right ...
Dechao Gao, Zeshan Qiu, Lizan Wang, Jianxin Li   +3 more
doaj   +1 more source

Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives

Advances in Difference Equations, 2018
The generalized Caputo fractional derivative is a name attributed to the Caputo version of the generalized fractional derivative introduced in Jarad et al. (J. Nonlinear Sci. Appl. 10:2607–2619, 2017).
Y. Y. Gambo, R. Ameen, F. Jarad, T. Abdeljawad   +3 more
doaj   +1 more source

FRACTIONAL CAPUTO-FABRIZIO DERIVATIVE WITH APPLICATIONS

, 2015
80
openaire   +2 more sources

Caputo–Hadamard Fractional Derivatives of Variable Order [PDF]

Numerical Functional Analysis and Optimization, 2016
ABSTRACTIn this article, we present three types of Caputo–Hadamard derivatives of variable fractional order and study the relations between them. An approximation formula for each fractional operator, using integer-order derivatives only, is obtained and an estimation for the error is given.
openaire   +2 more sources