A New Technique for Solving Fractional Order Systems: Hermite Collocation Method

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Applied Mathematics

ISSN Print: 2152-7385
ISSN Online: 2152-7393
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E-mail: am@scirp.org

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"A New Technique for Solving Fractional Order Systems: Hermite Collocation Method"
written by Nilay Akgonullu Pirim, Fatma Ayaz,
published by Applied Mathematics, Vol.7 No.18, 2016

has been cited by the following article(s):

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[8]	Application of Legendre wavelet method coupled with the Gauss quadrature rule for solving fractional integro-differential equations
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[9]	New approach for the chaotic dynamical systems involving Caputo-Prabhakar fractional derivative using Adams-Bashforth scheme
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[12]	Homotopy perturbation transform method for time-fractional Newell-Whitehead-Segel equation containing Caputo-Prabhakar fractional derivative
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[13]	Comparison of homotopy perturbation transform method and fractional Adams–Bashforth method for the Caputo–Prabhakar nonlinear fractional differential equations
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[14]	On a new integral transformation applied to fractional derivative with Mittag‐Leffler nonsingular kernel
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[15]	Homotopy perturbation transform method for time-fractional Newell-Whitehead Segel equation containing Caputo-Prabhakar fractional derivative
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[17]	Exact Solutions for the Liénard Type Model via Fractional Homotopy Methods
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[18]	Lie symmetry analysis, explicit solutions and conservation laws for the time fractional Kolmogorov–Petrovskii–Piskunov equation
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[19]	Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator
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[20]	A Hermite Polynomial Approach for Solving the SIR Model of Epidemics
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[23]	Analytical solutions of the Keller-Segel chemotaxis model involving fractional operators without singular kernel
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[24]	Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel
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[25]	Comparison of Numerical Approximations of One-Dimensional Space Fractional Diffusion Equation Using Different Types of Collocation Points in Spectral …
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[1]	A new Bell function approach to solve linear fractional differential equations Applied Numerical Mathematics, 2022 DOI:10.1016/j.apnum.2022.01.014

[2]	Analysis of Fractional-Order System of One-Dimensional Keller–Segel Equations: A Modified Analytical Method Symmetry, 2022 DOI:10.3390/sym14071321

[3]	Fractional Bell collocation method for solving linear fractional integro-differential equations Mathematical Sciences, 2022 DOI:10.1007/s40096-022-00482-0

[4]	Numerical investigation of the two-dimensional space-time fractional diffusion equation in porous media Mathematical Sciences, 2021 DOI:10.1007/s40096-020-00364-3

[5]	Numerical Investigation of the Time-Fractional Whitham–Broer–Kaup Equation Involving without Singular Kernel Operators Complexity, 2021 DOI:10.1155/2021/7979365

[6]	New approach for the chaotic dynamical systems involving Caputo-Prabhakar fractional derivative using Adams-Bashforth scheme Journal of Difference Equations and Applications, 2021 DOI:10.1080/10236198.2021.1976770

[7]	Lie symmetry analysis, explicit solutions and conservation laws for the time fractional Kolmogorov–Petrovskii–Piskunov equation Waves in Random and Complex Media, 2019 DOI:10.1080/17455030.2018.1534029

[8]	Fractional Derivatives with Mittag-Leffler Kernel Studies in Systems, Decision and Control, 2019 DOI:10.1007/978-3-030-11662-0_16

[9]	Modeling the fractional non-linear Schrödinger equation via Liouville-Caputo fractional derivative Optik, 2018 DOI:10.1016/j.ijleo.2018.01.107

[10]	Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel Mathematical Modelling of Natural Phenomena, 2018 DOI:10.1051/mmnp/2018002

[11]	Analytical solutions of the Keller-Segel chemotaxis model involving fractional operators without singular kernel The European Physical Journal Plus, 2018 DOI:10.1140/epjp/i2018-12038-6

[12]	A Hermite Polynomial Approach for Solving the SIR Model of Epidemics Mathematics, 2018 DOI:10.3390/math6120305

[13]	Comparison of Numerical Approximations of One-Dimensional Space Fractional Diffusion Equation Using Different Types of Collocation Points in Spectral Method Based on Lagrange’s Basis Polynomials American Journal of Computational Mathematics, 2017 DOI:10.4236/ajcm.2017.74034

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