Results 111 to 120 of about 48,942 (223)

Fractional variational principles with delay within caputo derivatives

Reports on Mathematical Physics, 2010
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Jarad, Fahd, Abdeljawad (Maraaba), Thabet, Baleanu, Dumitru   +2 more
openaire   +2 more sources

New Results on Fractional Power Series: Theory and Applications

Entropy, 2013
In this paper, some theorems of the classical power series are generalized for the fractional power series. Some of these theorems are constructed by using Caputo fractional derivatives.
Ahmad El-Ajou, Omar Abu Arqub, Zeyad Al Zhour, Shaher Momani   +3 more
doaj   +1 more source

Similarity and substitution: Using pile sorting methods to explore economic behavior

Journal of the Agricultural and Applied Economics Association, Volume 5, Issue 2, Page 180-195, June 2026.
Abstract Despite the common intuition that similar products are stronger demand substitutes, this study shows a more nuanced relationship between perceived similarity and utility substitution. Using pile sorting, a method where items are sorted into groups according to their similarity, we conduct large‐scale consumer surveys on purchasing 21 foods for
Jayson L. Lusk, Vincenzina Caputo, Amelia Ahles   +2 more
wiley   +1 more source

Fractional Mass-Spring-Damper System Described by Generalized Fractional Order Derivatives

Fractal and Fractional, 2019
This paper proposes novel analytical solutions of the mass-spring-damper systems described by certain generalized fractional derivatives. The Liouville−Caputo left generalized fractional derivative and the left generalized fractional derivative ...
Ndolane Sene, José Francisco Gómez Aguilar   +1 more
doaj   +1 more source

A Numerical Method Combining Cubic Interpolated Propagation and Shifted Grünwald–Letnikov for Fractional Advection–Dispersion Equations

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 8, Page 3546-3557, 10 June 2026.
ABSTRACT Recent advances in the numerical solution of fractional partial differential equations have yielded promising results. In particular, the Shifted Grünwald–Letnikov (SGL) approach allows for a generalization of the traditional finite difference method to the context of fractional differential equations.
Pedro Victor Serra Mascarenhas, André Luís Brasil Cavalcante   +1 more
wiley   +1 more source

Variational Problems Involving a Caputo-Type Fractional Derivative [PDF]

Journal of Optimization Theory and Applications, 2016
The aim of this paper is to study certain problems of calculus of variations, that are dependent upon a Lagrange function on a Caputo-type fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo--Hadamard fractional derivatives, that are dependent on a real parameter ro.
openaire   +4 more sources

Reactivation Mechanism of Dormant Earthflows: Insights From the San Benedetto Landslide (Northern Apennines, Italy)

Journal of Geophysical Research: Earth Surface, Volume 131, Issue 6, June 2026.
Abstract Earthflows are landslides in fine‐grained materials that alternate long dormant phases of very slow movement with short paroxysmal stages of rapid motion. These rapid phases are highly destructive, often causing severe damage to buildings and infrastructure.
M. Berti, N. Dal Seno, A. Zuccarini, M. Bartola, R. Carboni, A. Fantini, L. Monti, M. Musolesi, A. Santoni, G. Caputo, L. Zamboni, G. Ciccarese   +11 more
wiley   +1 more source

On Extended Caputo Fractional Derivative Operator

, 2017
The main objective of this present paper is to introduce further extension of extended Caputo fractional derivative operator and establish the extension of an extended fractional derivative of some known elementary functions. Also, we investigate the extended fractional derivative of some familiar special functions, the Mellin transforms of newly ...
Gauhar Rahman, Kottakkaran Sooppy Nisar, Muhammad Arshad   +2 more
openaire   +2 more sources

Electrical circuits RC and RL involving fractional operators with bi-order

Advances in Mechanical Engineering, 2017
This article describes electrical series circuits RC and RL using the concept of derivative with two fractional orders α and β in Liouville–Caputo sense. The fractional equations consider derivatives in the range of α , β ∈ ( 0 ; 1 ] .
JF Gómez-Aguilar, RF Escobar-Jiménez, VH Olivares-Peregrino, MA Taneco-Hernández, GV Guerrero-Ramírez   +4 more
doaj   +1 more source

Analysis and numerical simulation of fractional-order blood alcohol model with singular and non-singular kernels

Computational and Mathematical Biophysics
In this manuscript, we examine the blood alcohol model to investigate the dynamics of alcohol concentration in the human body. The classical model of blood alcohol concentration is converted into the fractional model by using Caputo, Caputo-Fabrizio (CF),
Prakash Amit, Kalyan Neha, Ahuja Sanjeev
doaj   +1 more source