Existence, uniqueness and numerical solution of a fractional PDE with integral conditions
From MaRDI portal
Publication:5225896
DOI10.15388/NA.2019.3.4zbMath1470.35403WikidataQ128010882 ScholiaQ128010882MaRDI QIDQ5225896
Ahcene Merad, Jesús Martín-Vaquero
Publication date: 29 July 2019
Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)
Numerical methods for integral equations (65R20) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)
Related Items (3)
Solvability of a mixed problem with the integral gluing condition for a loaded equation with the Riemann-Liouville fractional operator ⋮ Unnamed Item ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical algorithms for diffusion-reaction problems with non-classical conditions
- Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay
- Two-level fourth-order explicit schemes for diffusion equations subject to boundary integral specifications
- On efficient numerical methods for an initial-boundary value problem with nonlocal boundary conditions
- Solution of a transmission problem for semilinear parabolic-hyperbolic equations by the time-discretization method
- Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions
- Fractional-order Legendre functions for solving fractional-order differential equations
- A Galerkin method for two-dimensional hyperbolic integro-differential equation with purely integral conditions
- Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation
- On a class of nonlinear reaction-diffusion systems with nonlocal boundary conditions
- Some analytical properties of solutions of differential equations of noninteger order
- On the weak solution of a three-point boundary value problem for a class of parabolic equations with energy specification
- An integral constrained parabolic problem with applications in thermochronology
- On the existence and uniqueness of solutions of a class of fractional differential equations
- Rothe time-discretization method for a nonlocal problem arising in thermoelasticity
- Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions
- A finite element method for time fractional partial differential equations
- Existence results for boundary value problems with non-linear fractional differential equations
- New Trends in Nanotechnology and Fractional Calculus Applications
- Positive solutions of a boundary value problem for a nonlinear fractional differential equation
- A Practical Guide to Pseudospectral Methods
- Polynomial-based mean weighted residuals methods for elliptic problems with nonlocal boundary conditions in the rectangle
- Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
- Positive solutions for boundary value problem of nonlinear fractional differential equation
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Existence, uniqueness and numerical solution of a fractional PDE with integral conditions
