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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"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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[2]	Comprehensive review of numerical schemes based on Hermite wavelets
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[3]	Analysis of Fractional-Order System of One-Dimensional Keller–Segel Equations: A Modified Analytical Method. Symmetry 2022, 14, 1321
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[4]	Analysis of fractional-order system of one-dimensional Keller–Segel equations: a modified analytical method
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[6]	Fractional Bell collocation method for solving linear fractional integro-differential equations
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[7]	Legendre wavelet method combined with the Gauss quadrature rule for numerical solution of fractional integro-differential equations
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[8]	New approach for the chaotic dynamical systems involving Caputo-Prabhakar fractional derivative using Adams-Bashforth scheme
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[9]	Numerical Investigation of the Time-Fractional Whitham–Broer–Kaup Equation Involving without Singular Kernel Operators
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[10]	Numerical investigation of the two-dimensional space-time fractional diffusion equation in porous media
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[11]	Application of Legendre wavelet method coupled with the Gauss quadrature rule for solving fractional integro-differential equations
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[12]	Numerical Investigation of the Time‐Fractional Whitham–Broer–Kaup Equation Involving without Singular Kernel Operators
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[13]	Comparison of homotopy perturbation transform method and fractional Adams–Bashforth method for the Caputo–Prabhakar nonlinear fractional differential …
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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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[16]	On a new integral transformation applied to fractional derivative with Mittag-Leffler nonsingular kernel
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[17]	Solving Some Differential Equations Arising in Electric Engineering Using Hermite Polynomials
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[18]	Homotopy perturbation transform method for time-fractional Newell-Whitehead-Segel equation containing Caputo-Prabhakar fractional derivative
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[19]	Comparison of homotopy perturbation transform method and fractional Adams–Bashforth method for the Caputo–Prabhakar nonlinear fractional differential equations
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[21]	Exact Solutions for the Liénard Type Model via Fractional Homotopy Methods
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[22]	Lie symmetry analysis, explicit solutions and conservation laws for the time fractional Kolmogorov–Petrovskii–Piskunov equation
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[23]	Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator
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[24]	A Hermite Polynomial Approach for Solving the SIR Model of Epidemics
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[25]	Modeling the fractional non-linear Schrödinger equation via Liouville-Caputo fractional derivative
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[26]	Lagrange's Spectral Collocation Method for Numerical Approximations of Two-Dimensional Space Fractional Diffusion Equation
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[27]	Analytical solutions of the Keller-Segel chemotaxis model involving fractional operators without singular kernel
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[28]	Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel
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[29]	Comparison of Numerical Approximations of One-Dimensional Space Fractional Diffusion Equation Using Different Types of Collocation Points in Spectral …
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[30]	On the solutions of fractional order of evolution equations
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[1]	Fractional Bell collocation method for solving linear fractional integro-differential equations Mathematical Sciences, 2024 DOI:10.1007/s40096-022-00482-0

[2]	Innovative approaches to fractional modeling: Aboodh transform for the Keller-Segel equation AIMS Mathematics, 2024 DOI:10.3934/math.2024724

[3]	Innovative approaches to fractional modeling: Aboodh transform for the Keller-Segel equation AIMS Mathematics, 2024 DOI:10.3934/math.2024724

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

[5]	A new Bell function approach to solve linear fractional differential equations Applied Numerical Mathematics, 2022 DOI:10.1016/j.apnum.2022.01.014

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

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

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

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

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

[11]	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

[12]	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

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

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

[15]	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

[16]	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

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

[18]	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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