Results 121 to 130 of about 383,064 (247)

Recovering discrete delayed fractional equations from trajectories

Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7630-7640, 15 May 2025.
We show how machine learning methods can unveil the fractional and delayed nature of discrete dynamical systems. In particular, we study the case of the fractional delayed logistic map. We show that given a trajectory, we can detect if it has some delay effect or not and also to characterize the fractional component of the underlying generation model.
J. Alberto Conejero, Òscar Garibo‐i‐Orts, Carlos Lizama   +2 more
wiley   +1 more source

Hilfer-Katugampola fractional derivative [PDF]

arXiv, 2017
We propose a new fractional derivative, the Hilfer-Katugampola fractional derivative. Motivated by the Hilfer derivative this formulation interpolates the well-known fractional derivatives of Hilfer, Hilfer-Hadamard, Riemann-Liouville, Hadamard, Caputo, Caputo-Hadamard, Liouville, Weyl, generalized and Caputo-type.
arxiv  

Survey and new results on boundary-value problems of singular fractional differential equations with impulse effects

Electronic Journal of Differential Equations, 2016
Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear fractional differential equations (LFDEs) with two variable coefficients involving Caputo fractional derivative, Riemann-Liouville derivative, Caputo type Hadamard ...
Yuji Liu
doaj  

Study on generalized fuzzy fractional human liver model with Atangana-Baleanu-Caputo fractional derivative. [PDF]

Eur Phys J Plus, 2022
Verma L, Meher R.
europepmc   +1 more source

Langevin Equations with Generalized Proportional Hadamard-Caputo Fractional Derivative. [PDF]

Comput Intell Neurosci, 2021
Barakat MA, Soliman AH, Hyder AA.
europepmc   +1 more source

A numerical evaluation and regularization of Caputo fractional derivatives [PDF]

, 2011
Ming Li, Xiangtuan Xiong, Y J Wang
openalex   +1 more source

Caputo-type modification of the Hadamard fractional derivatives [PDF]

, 2012
Fahd Jarad, Thabet Abdeljawad, Dumitru Băleanu   +2 more
openalex   +1 more source

Hamilton-Jacobi equations involving a Caputo time-fractional derivative [PDF]

arXiv
We prove a representation formula of intrinsic Hopf-Lax type for subsolutions to Hamilton-Jacobi equations involving a Caputo time-fractional derivative.
arxiv  

High order algorithms for Fokker-Planck equation with Caputo-Fabrizio fractional derivative [PDF]

arXiv, 2018
Based on the continuous time random walk, we derive the Fokker-Planck equations with Caputo-Fabrizio fractional derivative, which can effectively model a variety of physical phenomena, especially, the material heterogeneities and structures with different scales.
arxiv  

A New Mixed Fractional Derivative with Applications in Computational Biology

Computation
This study develops a new definition of a fractional derivative that mixes the definitions of fractional derivatives with singular and non-singular kernels.
Khalid Hattaf
doaj   +1 more source