Fast iterative refinement method for mixed systems of integral and fractional integro-differential equations
DOI10.1007/s40314-017-0480-7 10.1007/s40314-017-0464-7; 10.1007/s40314-017-0480-7zbMath1502.65272OpenAlexW4232808072MaRDI QIDQ725862
Publication date: 2 August 2018
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-017-0480-7
successive approximationshomotopy methodsAdomian decompositioniterative refinementvariational iterationfractional Fredholm and Volterra equations
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Fredholm integral equations (45B05) Volterra integral equations (45D05) Numerical methods for ordinary differential equations (65L99)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Operational tau approximation for a general class of fractional integro-differential equations
- Solution of fractional integro-differential equations by using fractional differential transform method
- Picard and Adomian methods for quadratic integral equation
- Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations
- Approximate solution of fractional integro-differential equations by Taylor expansion method
- Linear integral equations. Theory and technique.
- Recent history of fractional calculus
- Iterative refinement for a system of linear integro-differential equations of fractional type
- He's homotopy perturbation method: an effective tool for solving nonlinear integral and integro-differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Solution of a system of Volterra integral equations of the first kind by Adomian method
- A note on the decomposition method for operator equations
- An integro quadratic spline approach for a class of variable-order fractional initial value problems
- Extended algorithms for approximating variable order fractional derivatives with applications
- Fractional calculus: quo vadimus? (where are we going?)
- The variational iteration method is a special case of the homotopy analysis method
- Derivation of the Adomian decomposition method using the homotopy analysis method
- An efficient method for solving systems of fractional integro-differential equations
- Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method
- Comparison between the homotopy analysis method and homotopy perturbation method
- Volterra Integral Equations
- Effective Laguerre Asymptotics
- The Numerical Solution of Integral Equations of the Second Kind
- Beyond Perturbation
- Advances in Fractional Calculus
