Existence results for a generalization of the time-fractional diffusion equation with variable coefficients
From MaRDI portal
Publication:2108204
DOI10.1186/S13661-019-1125-0OpenAlexW2916333235WikidataQ128579932 ScholiaQ128579932MaRDI QIDQ2108204
Publication date: 19 December 2022
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-019-1125-0
Mittag-Leffler functionexistenceweighted Sobolev spacefractional diffusion equationMikhlin multiplier theorem\(M\)-Wright function
Related Items (7)
Existence of solutions of the abstract Cauchy problem of fractional order ⋮ Applications of Erdélyi-Kober fractional integral for solving time-fractional Tricomi-Keldysh type equation ⋮ A linear Galerkin numerical method for a quasilinear subdiffusion equation ⋮ MILD SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION WITH A HYPER-BESSEL OPERATOR HAVE A CONTINUOUS DEPENDENCE WITH REGARD TO FRACTIONAL DERIVATIVE ORDERS ⋮ Existence of solutions for the semilinear abstract Cauchy problem of fractional order ⋮ Existence of solution of space-time fractional diffusion-wave equation in weighted Sobolev space ⋮ Identifying the space source term problem for a generalization of the fractional diffusion equation with hyper-Bessel operator
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Fractional Navier boundary value problems
- Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay
- Diffusion in heterogeneous media: an iterative scheme for finding approximate solutions to fractional differential equations with time-dependent coefficients
- Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion
- Mittag-Leffler functions and their applications
- The \(M\)-Wright function in time-fractional diffusion processes: a tutorial survey
- Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
- Fractional diffusion equations and processes with randomly varying time
- On relating two approaches for fractional calculus
- Explicit solutions of fractional integral and differential equations involving Erdélyi-Kober operators
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Initial boundary value problems for a fractional differential equation with hyper-Bessel operator
- Existence of solutions for a fractional semilinear parabolic equation with singular initial data
- Storage and dissipation of energy in Prabhakar viscoelasticity
- New result on the critical exponent for solution of an ordinary fractional differential problem
- Exact iterative solution for an abstract fractional dynamic system model for bioprocess
- Two-weight characterization for commutators of bi-parameter fractional integrals
- Brownian-time processes: The PDE connection and the half-derivative generator
- Prabhakar-like fractional viscoelasticity
- The Prabhakar or three parameter Mittag-Leffler function: theory and application
- On the existence of \(L^p\)-solution of generalized Euler-Poisson-Darboux equation in the upper half space
- Variational structure and multiple solutions for a fractional advection-dispersion equation
- Infinitely many positive solutions of fractional boundary value problems
- Fractional relaxation with time-varying coefficient
- Fractional diffusions with time-varying coefficients
- A class of self-similar stochastic processes with stationary increments to model anomalous diffusion in physics
- Fractional Powers of a Class of Ordinary Differentilal Operators
- A Theory of Fractional Integration for Generalized Functions
- An $L^p$ a priori estimate for the Tricomi equation in the upper half space
- The Cauchy problem for semilinear hyperbolic equation with characteristic degeneration on the initial hyperplane
- Randomly Stopped Nonlinear Fractional Birth Processes
- Erdélyi-Kober fractional diffusion
- Mittag-Leffler Functions, Related Topics and Applications
- Fractional Brownian Motions, Fractional Noises and Applications
This page was built for publication: Existence results for a generalization of the time-fractional diffusion equation with variable coefficients