Date of download: 10/22/2017 Copyright © ASME. All rights reserved. From: A Modified Multi-Step Differential Transform Method for Solving Fractional Dynamic Systems J. Comput. Nonlinear Dynam. 2012;8(1):011008-011008-8. doi:10.1115/1.4006572 Figure Legend: The solution of the fractional-order biology system [35] with α = 0.85, h  0.05 obtained by using different methods. Solid line: fractional-order MSDTM [35], and dots: PCM [19].

Date of download: 10/22/2017 Copyright © ASME. All rights reserved. From: A Modified Multi-Step Differential Transform Method for Solving Fractional Dynamic Systems J. Comput. Nonlinear Dynam. 2012;8(1):011008-011008-8. doi:10.1115/1.4006572 Figure Legend: The solution of the fractional Riccati differential equation with α = 0.5. Solid line: MMSDTM, and dots: PCM.

Date of download: 10/22/2017 Copyright © ASME. All rights reserved. From: A Modified Multi-Step Differential Transform Method for Solving Fractional Dynamic Systems J. Comput. Nonlinear Dynam. 2012;8(1):011008-011008-8. doi:10.1115/1.4006572 Figure Legend: The solution of the nonlinear fractional differential equation with α = 1.5. Solid line: MMSDTM, and dots: PCM.

Date of download: 10/22/2017 Copyright © ASME. All rights reserved. From: A Modified Multi-Step Differential Transform Method for Solving Fractional Dynamic Systems J. Comput. Nonlinear Dynam. 2012;8(1):011008-011008-8. doi:10.1115/1.4006572 Figure Legend: The solution of the nonlinear fractional differential equation with α = 1.8. Solid line: MMSDTM, and dots: PCM.

Date of download: 10/22/2017 Copyright © ASME. All rights reserved. From: A Modified Multi-Step Differential Transform Method for Solving Fractional Dynamic Systems J. Comput. Nonlinear Dynam. 2012;8(1):011008-011008-8. doi:10.1115/1.4006572 Figure Legend: The phase portrait of the fractional-order Lorenz system with α  0.92 and T  20, by using MMSDTM

Date of download: 10/22/2017 Copyright © ASME. All rights reserved. From: A Modified Multi-Step Differential Transform Method for Solving Fractional Dynamic Systems J. Comput. Nonlinear Dynam. 2012;8(1):011008-011008-8. doi:10.1115/1.4006572 Figure Legend: The phase portrait of the fractional-order Lorenz system with α  0.94 and T  20, by using MMSDTM

Date of download: 10/22/2017 Copyright © ASME. All rights reserved. From: A Modified Multi-Step Differential Transform Method for Solving Fractional Dynamic Systems J. Comput. Nonlinear Dynam. 2012;8(1):011008-011008-8. doi:10.1115/1.4006572 Figure Legend: The solution of x(t) of the fractional-order Lorenz system with α  0.92 and T  20. Solid line: MMSDTM, and dots: PCM.

Date of download: 10/22/2017 Copyright © ASME. All rights reserved. From: A Modified Multi-Step Differential Transform Method for Solving Fractional Dynamic Systems J. Comput. Nonlinear Dynam. 2012;8(1):011008-011008-8. doi:10.1115/1.4006572 Figure Legend: The solution of x(t) of the fractional-order Lorenz system with α  0.94 and T  20. Solid line: MMSDTM, and dots: PCM.

Date of download: 10/22/2017 Copyright © ASME. All rights reserved. From: A Modified Multi-Step Differential Transform Method for Solving Fractional Dynamic Systems J. Comput. Nonlinear Dynam. 2012;8(1):011008-011008-8. doi:10.1115/1.4006572 Figure Legend: The solution of the fractional-order Baglay-Torvik equation with T=20. Solid line: MMSDTM, and dots: PCM.