Numerical solution for complex systems of fractional order

DOI10.1155/2012/678174zbMath1264.65129OpenAlexW2169231977WikidataQ58907125 ScholiaQ58907125MaRDI QIDQ1952912

Rabha W. Ibrahim

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/678174

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99) Fractional ordinary differential equations (34A08)

Related Items (3)

Existence of fractional differential chains and factorizations based on transformations ⋮ Analytic and numerical solutions for systems of fractional Schrödinger equation ⋮ Alternative variational iteration method for solving the time-fractional Fornberg-Whitham equation

Cites Work

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• On holomorphic solution for space- and time-fractional telegraph equations in complex domain
• Variational iteration method for the time-fractional Fornberg-Whitham equation
• Existence and uniqueness of holomorphic solutions for fractional Cauchy problem
• Analysis of differential equations of fractional order
• Homotopy analysis method for second-order boundary value problems of integrodifferential equations
• Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations
• Variational iteration method for fractional heat- and wave-like equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Complex transforms for systems of fractional differential equations
• Homotopy analysis method to obtain numerical solutions of the Painlevé equations
• Approximate solutions for fractional differential equation in the unit disk

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