Cover Image

Abstract Fractional Cauchy Problem: Existence of Propagators and Inhomogeneous Solution Representation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Sytnyk, Dmytro, Wohlmuth, Barbara
Format:	Preprint
Published:	2023
Subjects:	Numerical Analysis Analysis of PDEs Dynamical Systems Functional Analysis 34A08, 35R11, 34G10, 35R20, 65L05, 65J08, 65J10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Exponentially Convergent Numerical Method for Abstract Cauchy Problem with Fractional Derivative of Caputo Type
by: Sytnyk, Dmytro, et al.
Published: (2023)

Subordination based approximation of Caputo fractional propagator and related numerical methods
by: Sytnyk, Dmytro
Published: (2025)

A kernel compression method for distributed-order fractional partial differential equations
by: Beddrich, Jonas, et al.
Published: (2025)

Shooting Methods for Fractional Dirichlet-Type Boundary Value Problems of Order $α\in (1,2)$ With Caputo Derivatives
by: Diethelm, Kai
Published: (2024)

A Novel Homotopy Perturbation Sumudu Transform Method for Nonlinear Fractional PDEs: Applications and Comparative Analysis
by: Jalili, Maryam
Published: (2025)

A Multi-Order Extension of Fractional HBVMs (FHBVMs)
by: Brugnano, Luigi, et al.
Published: (2025)

High multiplicity of positive solutions in a superlinear problem of Moore-Nehari type
by: Cubillos, Pablo, et al.
Published: (2024)

Numerical solution of FDE-IVPs by using Fractional HBVMs: the fhbvm code
by: Brugnano, Luigi, et al.
Published: (2024)

Solving FDE-IVPs by using Fractional HBVMs: some experiments with the fhbvm code
by: Brugnano, L., et al.
Published: (2024)

Abstract Volterra integral equations of wave type with almost sectorial operators
by: Restrepo, Joel E.
Published: (2025)

A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid
by: Kolbe, Niklas, et al.
Published: (2024)

Well-posedness and numerical approximation of nonlinear conservation laws with hysteresis
by: Goatin, Paola, et al.
Published: (2026)

Homogenisation for Maxwell and Friends
by: Buchinger, Andreas, et al.
Published: (2024)

Numerical method for abstract Cauchy problem with nonlinear nonlocal condition
by: Makarov, Volodymyr, et al.
Published: (2024)

Discontinuous finite element approximation of quasistatic crack growth in finite elasticity
by: Giacomini, Alessandro, et al.
Published: (2004)

Analysis and implementation of collocation methods for fractional differential equations
by: Brugnano, Luigi, et al.
Published: (2025)

A shooting-Newton procedure for solving fractional terminal value problems
by: Brugnano, Luigi, et al.
Published: (2023)

On $τ$-preconditioners for a quasi-compact difference scheme to Riesz fractional diffusion equations with variable coefficients
by: She, Zi-Hang, et al.
Published: (2024)

A Regularization for Time-Fractional Backward Heat Conduction Problem with Inhomogeneous Source Function
by: Alavani, Vighnesh V., et al.
Published: (2024)

Direct and inverse abstract Cauchy problems with fractional powers of almost sectorial operators
by: Restrepo, Joel E.
Published: (2024)

Stochastic Galerkin Method and Hierarchical Preconditioning for PDE-constrained Optimization
by: Li, Zhendong, et al.
Published: (2025)

Classification of blow-ups for the Alt--Phillips problem in three dimensions
by: Fernández-Real, Xavier
Published: (2026)

A Finite-Volume Scheme for Fractional Diffusion on Bounded Domains
by: Bailo, Rafael, et al.
Published: (2023)

Finite Volumes for a dissipative free boundary problem
by: Cancès, Clément, et al.
Published: (2025)

Nonlinear fractional-periodic boundary value problems with Hilfer fractional derivative: existence and numerical approximations of solutions
by: Goedegebure, Niels, et al.
Published: (2026)

Unique continuation for the wave equation based on a discontinuous Galerkin time discretization
by: Burman, Erik, et al.
Published: (2024)

Robust and fast iterative method for the elliptic Monge-Ampère equation
by: Köhle, R. N., et al.
Published: (2025)

Matrix-Free Parallel Scalable Multilevel Deflation Preconditioning for Heterogeneous Time-Harmonic Wave Problems
by: Chen, Jinqiang, et al.
Published: (2024)

Irrational-window-filter projection method and application to quasiperiodic Schrödinger eigenproblems
by: Jiang, Kai, et al.
Published: (2024)

Energy Stable and Structure-Preserving Algorithms for the Stochastic Galerkin System of 2D Shallow Water Equations
by: Epshteyn, Yekaterina, et al.
Published: (2024)

A representation formula for regular functions on the characteristic plane of the second Heisenberg group
by: Baldi, Annalisa, et al.
Published: (2024)

On the Numerical Treatment of an Abstract Nonlinear System of Coupled Hyperbolic Equations Associated with the Timoshenko Model
by: Rogava, Jemal, et al.
Published: (2026)

Time Reparametrization, Not Fractional Calculus: A Reassessment of the Conformable Derivative
by: Ghazouani, Aziz El, et al.
Published: (2025)

Inverse iteration method for higher eigenvalues of the $p$-Laplacian
by: Bobkov, Vladimir, et al.
Published: (2025)

A first-order hyperbolic reformulation of the Cahn-Hilliard equation
by: Dhaouadi, Firas, et al.
Published: (2024)

Uniqueness and multiple existence of positive radial solutions of the Brezis-Nirenberg Problem on annular domains in ${\Bbb S}^{3}$
by: Shioji, Naoki, et al.
Published: (2024)

High-dimensional stochastic finite volumes using the tensor train format
by: Dubois, Juliette, et al.
Published: (2025)

Reduced Basis Approach for Convection-Diffusion Equations with Non-Linear Boundary Reaction Conditions
by: Matera, Sebastian, et al.
Published: (2025)

Algorithms of very high space-time orders of accuracy for hyperbolic equations in the semidiscrete WENO-DeC framework
by: Micalizzi, Lorenzo, et al.
Published: (2025)

Discrete Laplacians on the hyperbolic space -- a comparative study
by: Bucataru, Mihai, et al.
Published: (2024)