Continuity with respect to fractional order of the time fractional diffusion-wave equation

DOI10.3934/eect.2020033zbMath1455.35295OpenAlexW2994685444WikidataQ126535073 ScholiaQ126535073MaRDI QIDQ827653

Nguyen Huy Tuan, Donal O'Regan, Tran Bao Ngoc

Publication date: 13 January 2021

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2020033

zbMATH Keywords

final value problemtime fractional wave equationcontinuity/stability on fractional ordersinverse initial value problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)

Related Items (10)

On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems ⋮ Inverse source problem for Sobolev equation with fractional Laplacian ⋮ Approximate controllability of fractional neutral evolution systems of hyperbolic type ⋮ Notes on continuity result for conformable diffusion equation on the sphere: the linear case ⋮ Some necessary optimality conditions for systems with fractional Caputo derivatives ⋮ Stability of fractional order of time nonlinear fractional diffusion equation with Riemann–Liouville derivative ⋮ MILD SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION WITH A HYPER-BESSEL OPERATOR HAVE A CONTINUOUS DEPENDENCE WITH REGARD TO FRACTIONAL DERIVATIVE ORDERS ⋮ NEW RESULTS ON CONTINUITY BY ORDER OF DERIVATIVE FOR CONFORMABLE PARABOLIC EQUATIONS ⋮ The dependence on fractional orders of mild solutions to the fractional diffusion equation with memory ⋮ Optimality conditions of singular controls for systems with Caputo fractional derivatives

Cites Work

• On existence and uniqueness of solutions for semilinear fractional wave equations
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Continuity of solutions of a class of fractional equations
• The fundamental solutions for the fractional diffusion-wave equation
• Space-time fractional diffusion equation using a derivative with nonsingular and regular kernel
• Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel
• Extended Riemann-Liouville type fractional derivative operator with applications
• An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation
• \(L_{p}\)-estimates for time fractional parabolic equations with coefficients measurable in time
• On a backward problem for nonlinear fractional diffusion equations
• Series solution for the time-fractional coupled mkdv equation using the homotopy analysis method
• Analytical solutions for multi-term time-space fractional partial differential equations with nonlocal damping terms
• Perturbation theory for linear operators.
• The backward problem for a time-fractional diffusion-wave equation in a bounded domain
• Analysis of reaction-diffusion system via a new fractional derivative with non-singular kernel
• Modeling and simulation of the fractional space-time diffusion equation
• On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel
• A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain
• Well-posedness results for a class of semi-linear super-diffusive equations
• A PDE Approach to Space-Time Fractional Parabolic Problems
• FRACTIONAL DIFFUSIVE WAVES
• New Trends in Nanotechnology and Fractional Calculus Applications
• Reconstruction of an order of derivative and a source term in a fractional diffusion equation from final measurements
• Error estimates of a semidiscrete finite element method for fractional stochastic diffusion‐wave equations
• A new analysis for fractional model of regularized long‐wave equation arising in ion acoustic plasma waves
• Basic Theory of Fractional Differential Equations
• THE REVISED GENERALIZED TIKHONOV METHOD FOR THE BACKWARD TIME-FRACTIONAL DIFFUSION EQUATION
• Fractional Calculus

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