Cover Image

Fractional Derivatives: an extension of classical analysis to non-integer orders

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	del Teso, Félix, Gómez-Castro, David
Format:	Preprint
Published:	2025
Subjects:	Classical Analysis and ODEs Numerical Analysis Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the mean-field limit of the Cucker-Smale model with Random Batch Method
by: Wang, Yuelin, et al.
Published: (2024)

Hanke-Raus heuristic rule for iteratively regularized stochastic gradient descent
by: Bajpai, Harshit, et al.
Published: (2024)

Rapidly convergent series expansions for a class of resolvents
by: Milton, Graeme W.
Published: (2024)

Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
by: Ciaurri, Ó., et al.
Published: (2016)

Exponentials rarely maximize Fourier extension inequalities for cones
by: Negro, Giuseppe, et al.
Published: (2023)

On $L^p$ extremals for Fourier extension estimate to fractional surface
by: Di, Boning, et al.
Published: (2024)

The principle of simultaneous saturation: Application to the $k$-linear restriction/extension problem
by: Tacy, Melissa
Published: (2025)

Meyers exponent rules the first-order approach to second-order elliptic boundary value problems
by: Auscher, Pascal, et al.
Published: (2025)

On a degenerate second order traffic model: existence of discrete evolutions, deterministic many-particle limit and first order approximation
by: Mazzoleni, Dario, et al.
Published: (2024)

Finite and infinite order differential properties of the reduced Mittag--Leffler polynomials
by: Rajković, Predrag M., et al.
Published: (2024)

Varopoulos extensions in domains with Ahlfors-regular boundaries and applications to Boundary Value Problems for elliptic systems with $L^\infty$ coefficients
by: Mourgoglou, Mihalis, et al.
Published: (2023)

Galerkin Approximation of the Fractional Sobolev Constant
by: Dima, Andreea, et al.
Published: (2026)

Pointwise estimates for the fundamental solutions of higher order schrödinger equations with finite rank perturbations
by: Chen, Xinyi, et al.
Published: (2025)

Sharp quantitative integral inequalities for harmonic extensions
by: Frank, Rupert L., et al.
Published: (2025)

Construction of a right inverse for the divergence in non-cylindrical time dependent domains
by: Saari, Olli, et al.
Published: (2021)

On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries
by: Pathak, Aritro
Published: (2026)

Weighted non-autonomous $L^q(L^p)$ maximal regularity for complex systems
by: Bechtel, Sebastian
Published: (2022)

Weak type $(1,1)$ bounds for Riesz transforms for elliptic operators in non-divergence form
by: Song, Liang, et al.
Published: (2025)

Numerical approach for solving problems arising from polynomial analysis
by: Gati, Yousra, et al.
Published: (2025)

Compactly supported, orthogonal, continuous piecewise polynomial multiresolution analysis
by: Fernández, Lidia, et al.
Published: (2024)

Sharp extension problem characterizations for higher fractional power operators in Banach spaces
by: Biswas, A., et al.
Published: (2023)

A seventeenth-order polylogarithm ladder
by: Bailey, David H., et al.
Published: (1999)

A second order approach to the Kato square root problem on open sets
by: Bechtel, Sebastian, et al.
Published: (2024)

Dimension and structure of the Robin Harmonic Measure on Rough Domains
by: David, Guy, et al.
Published: (2024)

Robin Green Function Estimates and a Model of Mammalian Lungs
by: David, Guy, et al.
Published: (2025)

Inequalities, identities, and bounds for divided differences of the exponential function
by: Zeng, Qiulin, et al.
Published: (2025)

Perfectly transparent boundary conditions and wave propagation in lattice Boltzmann schemes
by: Bellotti, Thomas
Published: (2025)

Optimal convergence rates for the finite element approximation of the Sobolev constant
by: Ignat, Liviu I., et al.
Published: (2025)

Neumann series of Bessel functions in direct and inverse spherically symmetric transmission eigenvalue problems
by: Kravchenko, Vladislav V., et al.
Published: (2025)

Functional equation arising in behavioral sciences: solvability and collocation scheme in Hölder spaces
by: Caballero, Josefa, et al.
Published: (2025)

The Marcinkiewicz-Zygmund Property for Riemann Differences with Geometric Nodes
by: Fejzić, Hajrudin
Published: (2025)

Generalized capillary-rise models: existence and fast solvers in integral Hölder spaces
by: Caballero, Josefa, et al.
Published: (2025)

Algorithm xxx --- ORTHPOL: A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
by: Gautschi, Walter
Published: (1993)

A fully diagonalized spectral method on the unit ball
by: Piñar, Miguel A.
Published: (2026)

Tensor tomography using V-line transforms with vertices restricted to a circle
by: Mishra, Rohit Kumar, et al.
Published: (2024)

Polynomial interpolation and Gaussian quadrature for matrix valued functions
by: Van Assche, Walter, et al.
Published: (1993)

Average case complexity of linear multivariate problems
by: Woźniakowski, Henryk
Published: (1993)

Moments of Dirichlet splines and their applications to hypergeometric functions
by: Neuman, Edward, et al.
Published: (1993)

A package on formal power series
by: Koepf, Wolfram
Published: (1994)

Wavelet transforms versus Fourier transforms
by: Strang, Gilbert
Published: (1993)