Spectral methods for fractional differential equations using generalized Jacobi functions

Numerical Methods ◽

10.1515/9783110571684-005 ◽

2019 ◽

pp. 127-156

Author(s):

Jie Shen ◽

Changtao Sheng

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Spectral Methods ◽

Jacobi Functions ◽

Fractional Differential

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Spectral methods for some kinds of fractional differential equations Traditional and Müntz spectral methods

Numerical Methods ◽

10.1515/9783110571684-004 ◽

2019 ◽

pp. 101-126

Author(s):

Chuanju Xu

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Spectral Methods ◽

Fractional Differential

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Fractional Laguerre spectral methods and their applications to fractional differential equations on unbounded domain

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1119270 ◽

2016 ◽

Vol 94 (3) ◽

pp. 570-596 ◽

Author(s):

T. Aboelenen ◽

S.A. Bakr ◽

H.M. El-Hawary

Keyword(s):

Differential Equations ◽

Unbounded Domain ◽

Fractional Differential Equations ◽

Spectral Methods ◽

Fractional Differential

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A study on spectral methods for linear and nonlinear fractional differential equations

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2019.104023 ◽

2019 ◽

Vol 10 (6) ◽

pp. 545 ◽

Author(s):

Mahmoud Behroozifar ◽

Farkhondeh Ahmadpour

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Spectral Methods ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

Linear And Nonlinear

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Generalized Jacobi functions and their applications to fractional differential equations

Mathematics of Computation ◽

10.1090/mcom3035 ◽

2015 ◽

Vol 85 (300) ◽

pp. 1603-1638 ◽

Author(s):

Sheng Chen ◽

Jie Shen ◽

Li-Lian Wang

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Jacobi Functions ◽

Fractional Differential

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A study on spectral methods for linear and nonlinear fractional differential equations

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2019.10025667 ◽

2019 ◽

Vol 10 (6) ◽

pp. 545

Author(s):

Mahmoud Behroozifar ◽

Farkhondeh Ahmadpour

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Spectral Methods ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

Linear And Nonlinear

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Efficient generalized Laguerre-spectral methods for solving multi-term fractional differential equations on the half line

Journal of Vibration and Control ◽

10.1177/1077546313482959 ◽

2013 ◽

Vol 20 (7) ◽

pp. 973-985 ◽

Author(s):

AH Bhrawy ◽

D Baleanu ◽

LM Assas

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Spectral Methods ◽

Half Line ◽

Fractional Differential

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Spectral Methods for Substantial Fractional Differential Equations

Journal of Scientific Computing ◽

10.1007/s10915-017-0506-8 ◽

2017 ◽

Vol 74 (3) ◽

pp. 1554-1574 ◽

Author(s):

Can Huang ◽

Zhimin Zhang ◽

Qingshuo Song

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Spectral Methods ◽

Fractional Differential

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Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.04.002 ◽

2016 ◽

Vol 106 ◽

pp. 165-181 ◽

Author(s):

Zhiping Mao ◽

Sheng Chen ◽

Jie Shen

Keyword(s):

Differential Equations ◽

Spectral Method ◽

Fractional Differential Equations ◽

Jacobi Functions ◽

Fractional Differential

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Nonexpansive Fixed Point Technique Used to Solve Boundary Value Problems for Fractional Differential Equations

Annals of the Alexandru Ioan Cuza University - Mathematics ◽

10.2478/v10157-011-0009-0 ◽

2011 ◽

Vol 57 (Supliment) ◽

Author(s):

Monica Lauran ◽

Vasile Berinde

Keyword(s):

Fixed Point ◽

Differential Equations ◽

Boundary Value Problems ◽

Fractional Differential Equations ◽

Boundary Value ◽

Fractional Differential ◽

Fixed Point Technique

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Distributionally chaotic properties of abstract fractional differential equations

Novi Sad Journal of Mathematics ◽

10.30755/nsjom.02990 ◽

2015 ◽

Vol 45 (2) ◽

pp. 201-213 ◽

Author(s):

Marko Kostić

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Fractional Differential

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