A Numerical Method for a Class of Linear Fractional Differential Equations
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Publication:5867244
DOI10.1007/978-3-642-28926-2_39zbMath1494.65052OpenAlexW119463856MaRDI QIDQ5867244
Publication date: 13 September 2022
Published in: Mathematical Modelling and Scientific Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-28926-2_39
Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)
Cites Work
- Unnamed Item
- Numerical approaches to fractional calculus and fractional ordinary differential equation
- Cauchy's integral formula via the modified Riemann-Liouville derivative for analytic functions of fractional order
- Recent history of fractional calculus
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
- Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- An algorithm for the numerical solution of differential equations of fractional order
- Detailed error analysis for a fractional Adams method
- Lagrangian mechanics of fractional order, Hamilton-Jacobi fractional PDE and Taylor's series of nondifferentiable functions
- Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
- Approximations of fractional integrals and Caputo fractional derivatives
- Algorithms for the fractional calculus: a selection of numerical methods