Solving the fractional nonlinear Bloch system using the multi-step generalized differential transform method

DOI10.1016/J.CAMWA.2013.05.013zbMath1369.34009OpenAlexW2014347645MaRDI QIDQ2400718

Shaher Momani, Eman Abuteen, Ahmad Alawneh

Publication date: 30 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.05.013

zbMATH Keywords

fractional differential equationsnuclear magnetic resonancedifferential transform methodBloch equations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Electromagnetic theory (general) (78A25) Fractional ordinary differential equations (34A08)

Related Items (6)

ANALYTICAL APPROXIMATE SOLUTIONS OF (N + 1)-DIMENSIONAL FRACTAL HARRY DYM EQUATIONS ⋮ Unnamed Item ⋮ Generalized differential transform method for nonlinear boundary value problem of fractional order ⋮ Dynamical Study of Fractional Order Tumor Model ⋮ \((N+1)\)-dimensional fractional reduced differential transform method for fractional order partial differential equations ⋮ Unnamed Item

Cites Work

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• Transient chaos in fractional Bloch equations
• Modeling and numerical analysis of fractional-order Bloch equations
• Fractional Bloch equation with delay
• An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of T-cells
• Bifurcation continuation, chaos and chaos control in nonlinear Bloch system
• Application of generalized differential transform method to multi-order fractional differential equations
• A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
• A multi-step differential transform method and application to non-chaotic or chaotic systems
• Synchronization of chaotic behavior in nonlinear Bloch equations
• Chaotic solutions of the feedback driven Bloch equations
• Generalized differential transform method: Application to differential equations of fractional order
• Solving systems of fractional differential equations using differential transform method

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