FRACTIONAL EULER METHOD; AN EFFECTIVE TOOL FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS

DOI10.21608/JOEMS.2018.9460zbMath1437.65070MaRDI QIDQ5217232

Hoda F. Ahmed

Publication date: 24 February 2020

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Caputo fractional derivativesystems of nonlinear fractional differential equationsfractional Euler methodfractional trapezoidal rulemulti order fractional differential equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Fractional ordinary differential equations (34A08)

Related Items (2)

Chaotic behaviour of fractional predator-prey dynamical system ⋮ Existence theory and numerical simulations of variable order model of infectious disease

Cites Work

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• Numerical methods for nonlinear partial differential equations of fractional order
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• On a system of differential equations with fractional derivatives arising in rod theory
• Operators of fractional integration and their applications

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