Two computational approaches for solving a fractional obstacle system in Hilbert space
From MaRDI portal
Publication:1720185
DOI10.1186/s13662-019-1996-5zbMath1458.65093OpenAlexW2920237743MaRDI QIDQ1720185
Shaher Momani, Mohammed Al-Smadi, Asad Freihet, Shatha Hasan
Publication date: 12 February 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-1996-5
obstacle problemsinner product spacesCaputo-fractional derivativeresidual power series methodreproducing-kernel method
Fractional derivatives and integrals (26A33) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)
Related Items (13)
Atangana-Baleanu fractional framework of reproducing kernel technique in solving fractional population dynamics system ⋮ Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method ⋮ A numerical modeling and its computational implementing simulation for generating distributions of the complicated random variable transformations with applications ⋮ Approximate analytical solution for a coupled system of fractional nonlinear integrodifferential equations by the RPS method ⋮ Construction of fractional power series solutions to fractional stiff system using residual functions algorithm ⋮ Numerical solutions of hybrid fuzzy differential equations in a Hilbert space ⋮ Riemann zeta fractional derivative-functional equation and link with primes ⋮ Advanced analytical treatment of fractional logistic equations based on residual error functions ⋮ On numerical approximation of Atangana-Baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert Space ⋮ Effective analytical computational technique for conformable time-fractional nonlinear Gardner equation and Cahn-Hilliard equations of fourth and sixth order emerging in dispersive media ⋮ Solving Time-Space-Fractional Cauchy Problem with Constant Coefficients by Finite-Difference Method ⋮ Solutions of Fractional Verhulst Model by Modified Analytical and Numerical Approaches ⋮ Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent-Miodek system with energy-dependent Schrödinger potential
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions
- On efficient method for system of fractional differential equations
- Cubic splines collocation methods for unilateral problems
- Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation
- The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method
- Finite difference technique for solving obstacle problems
- The Ritz method in solving unilateral problems in elasticity
- Parametric cubic spline approach to the solution of a system of second-order boundary-value problems
- Lattice fractional diffusion equation in terms of a Riesz-Caputo difference
- Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws
- The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel
- Group preserving scheme and reproducing kernel method for the Poisson-Boltzmann equation for semiconductor devices
- Computational algorithm for solving Fredholm time-fractional partial integrodifferential equations of Dirichlet functions type with error estimates
- Atangana-Baleanu fractional approach to the solutions of Bagley-Torvik and Painlevé equations in Hilbert space
- Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates
- Constructing two powerful methods to solve the Thomas-Fermi equation
- Numerical solutions of fractional systems of two-point BVPs by using the iterative reproducing kernel algorithm
- Analytical solution of the linear fractional differential equation by Adomian decomposition method
- Nonpolynomial spline approach to the solution of a system of second-order boundary-value problems
- Spline solutions for system of second-order boundary-value problems
- Spline methods for solving system of second-order boundary-value problems
- Riesz Riemann–Liouville difference on discrete domains
- Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions
- On solutions to the second‐order partial differential equations by two accurate methods
- On solutions of variable-order fractional differential equations
- The use of cubic splines in the numerical solution of a system of second-order boundary value problems
This page was built for publication: Two computational approaches for solving a fractional obstacle system in Hilbert space
