Solving linear and nonlinear fractional differential equations using spline functions

DOI10.1155/2012/426514zbMath1235.65015OpenAlexW2025388820WikidataQ58695106 ScholiaQ58695106MaRDI QIDQ410182

Mohamed A. Ramadan, Adel Al-Rabtah, Shaher Momani

Publication date: 3 April 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/426514

zbMATH Keywords

spline functionsnonlinear fractional differential equationslinear fractional differential equations

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical methods for ordinary differential equations (65L99) Fractional ordinary differential equations (34A08)

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Cites Work

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• Numerical studies for a multi-order fractional differential equation
• Recent history of fractional calculus
• The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• 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
• Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method
• On the existence and uniqueness of solutions of a class of fractional differential equations
• Spline solutions of first order delay differential equations
• Variational iteration method for solving the space‐ and time‐fractional KdV equation

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