Efficient Mittag-Leffler collocation method for solving linear and nonlinear fractional differential equations
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Publication:723854
DOI10.1007/s00009-018-1174-0zbMath1404.65076OpenAlexW2803312057MaRDI QIDQ723854
Hussien Shafei Hussien, Saad Zagloul Rida
Publication date: 24 July 2018
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-018-1174-0
Mittag-Leffler functions and generalizations (33E12) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)
Related Items (5)
Effective fractional technical for some fractional initial value problems ⋮ A Green's function iterative approach for the solution of a class of fractional BVPs arising in physical models ⋮ Mittag–Leffler collocation optimization method for studying a physical problem in fluid flow with fractional derivatives ⋮ Efficient computational approach for generalized fractional KdV-Burgers equation ⋮ An iterative approach for the numerical solution of fractional BVPs
Cites Work
- Unnamed Item
- A new algorithm for nonlinear fractional BVPs
- Operational methods and truncated exponential-based Mittag-Leffler polynomials
- Higher order numerical methods for solving fractional differential equations
- Existence of positive solutions for the boundary value problem of nonlinear fractional differential equations
- Error estimates of a high order numerical method for solving linear fractional differential equations
- Application of Legendre wavelets for solving fractional differential equations
- New method for solving linear fractional differential equations
- Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations
- On solutions of fractional Riccati differential equations
- Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- Fractional-order Legendre functions for solving fractional-order differential equations
- Numerical solutions for some generalized coupled nonlinear evolution equations
- Numerical solution of nonlinear fractional differential equations by spline collocation methods
- A novel approach to an impulsive feedback control with and without memory involvement
- Existence of nonoscillatory solutions for fractional neutral differential equations
- New Trends in Nanotechnology and Fractional Calculus Applications
- Special Functions for Applied Scientists
- Mittag-Leffler Functions, Related Topics and Applications
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