Results 71 to 80 of about 1,565,786 (254)

Information retrieval or document retrieval? Terminological confusions and unrealistic goals in information science, exemplified in relation to generative artificial intelligence

open access: yesJournal of the Association for Information Science and Technology, EarlyView.
Abstract ChatGPT and related technologies have revived an old issue in information science (IS) concerning information retrieval (IR) versus document retrieval. Since 1950, the term IR has primarily been used as a misnomer for document retrieval. This problematic terminology reflects a desire to go beyond documents and provide, in response to user ...
Birger Hjørland
wiley   +1 more source

A Modified Generalized Laguerre Spectral Method for Fractional Differential Equations on the Half Line

open access: yesAbstract and Applied Analysis, 2013
This paper deals with modified generalized Laguerre spectral tau and collocation methods for solving linear and nonlinear multiterm fractional differential equations (FDEs) on the half line.
D. Baleanu, A. H. Bhrawy, T. M. Taha
doaj   +1 more source

A note on Hadamard fractional differential equations with varying coefficients and their applications in probability

open access: yes, 2017
In this paper we show several connections between special functions arising from generalized COM-Poisson-type statistical distributions and integro-differential equations with varying coefficients involving Hadamard-type operators. New analytical results
Garra, Roberto   +2 more
core   +1 more source

Multiple solutions for a class of boundary value problems of fractional differential equations with generalized Caputo derivatives

open access: yesAIMS Mathematics, 2021
This paper is mainly concerned with the existence of multiple solutions for the following boundary value problems of fractional differential equations with generalized Caputo derivatives: \begin{document}$ \hskip 3mm \left\{ \begin{array}{lll} ^{C}_ ...
Yating Li, Yansheng Liu
semanticscholar   +1 more source

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

open access: yesAsian 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   +2 more
wiley   +1 more source

Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative

open access: yesBoundary Value Problems
The present research work investigates some new results for a fractional generalized Sturm–Liouville–Langevin (FGSLL) equation involving the Ψ-Caputo fractional derivative with a modified argument. We prove the uniqueness of the solution using the Banach
Hacen Serrai   +4 more
doaj   +1 more source

A modified Laplace transform for certain generalized fractional operators [PDF]

open access: yesResults in Nonlinear Analysis, 2018
It is known that Laplace transform converges for functions of exponential order. In order to extend the possibility of working in a large class of functions, we present a modified Laplace transform that we call ρ-Laplace transform, study its properties
Fahd Jarad, Thabet Abdeljawad
doaj  

Numerical treatments for the optimal control of two types variable-order COVID-19 model

open access: yesResults in Physics, 2022
In this paper, a novel variable-order COVID-19 model with modified parameters is presented. The variable-order fractional derivatives are defined in the Caputo sense. Two types of variable order Caputo definitions are presented here.
Nasser Sweilam   +3 more
doaj   +1 more source

Prabhakar-like fractional viscoelasticity

open access: yes, 2017
The aim of this paper is to present a linear viscoelastic model based on Prabhakar fractional operators. In particular, we propose a modification of the classical fractional Maxwell model, in which we replace the Caputo derivative with the Prabhakar one.
Colombaro, Ivano, Giusti, Andrea
core   +1 more source

A STUDY OF GENERALIZED CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH STEILTJES-TYPE FRACTIONAL INTEGRAL BOUNDARY CONDITIONS VIA FIXED-POINT THEORY

open access: yes, 2021
In this paper, we discuss the existence of solutions for generalized Caputo fractional differential equations and inclusions equipped with Steiltjes-type fractional integral boundary conditions via fixed-point theory.
B. Ahmad, Madeaha Alghanmi, A. Alsaedi
semanticscholar   +1 more source

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