The Approximate Solution of High-Order Linear Fractional Differential Equations with Variable Coefficients in Terms of Generalized Taylor Polynomials

Mathematical and Computational Applications ◽

10.3390/mca16030617 ◽

2011 ◽

Vol 16 (3) ◽

pp. 617-629 ◽

Author(s):

Yıldıray Keskin ◽

Onur Karaoğlu ◽

Sema Servi

Keyword(s):

Approximate Solution ◽

Differential Equations ◽

Fractional Differential Equations ◽

Variable Coefficients ◽

Order Linear ◽

Fractional Differential ◽

Taylor Polynomials ◽

Linear Fractional Differential Equations

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A new artificial neural network structure for solving high-order linear fractional differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1291932 ◽

2017 ◽

Vol 95 (3) ◽

pp. 528-539 ◽

Author(s):

F. Rostami ◽

A. Jafarian

Keyword(s):

Neural Network ◽

Artificial Neural Network ◽

Differential Equations ◽

Fractional Differential Equations ◽

Network Structure ◽

Order Linear ◽

Neural Network Structure ◽

Fractional Differential ◽

Linear Fractional Differential Equations

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Linear fractional differential equations with variable coefficients

Applied Mathematics Letters ◽

10.1016/j.aml.2007.09.010 ◽

2008 ◽

Vol 21 (9) ◽

pp. 892-897 ◽

Author(s):

M. Rivero ◽

L. Rodríguez-Germá ◽

J.J. Trujillo

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Variable Coefficients ◽

Fractional Differential ◽

Linear Fractional Differential Equations

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α-Analytic solutions of some linear fractional differential equations with variable coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.08.121 ◽

2007 ◽

Vol 187 (1) ◽

pp. 239-249 ◽

Author(s):

A.A. Kilbas ◽

M. Rivero ◽

L. Rodríguez-Germá ◽

J.J. Trujillo

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Analytic Solutions ◽

Variable Coefficients ◽

Fractional Differential ◽

Linear Fractional Differential Equations

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Error estimates of a high order numerical method for solving linear fractional differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.04.010 ◽

2017 ◽

Vol 114 ◽

pp. 201-220 ◽

Author(s):

Zhiqiang Li ◽

Yubin Yan ◽

Neville J. Ford

Keyword(s):

Differential Equations ◽

Numerical Method ◽

Error Estimates ◽

Fractional Differential Equations ◽

Fractional Differential ◽

Linear Fractional Differential Equations

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The approximate solution of high-order linear Volterra–Fredholm integro-differential equations in terms of Taylor polynomials

Applied Mathematics and Computation ◽

10.1016/s0096-3003(99)00059-4 ◽

2000 ◽

Vol 112 (2-3) ◽

pp. 291-308 ◽

Author(s):

Sali̇h Yalçinbaş ◽

Mehmet Sezer

Keyword(s):

Approximate Solution ◽

Differential Equations ◽

Order Linear ◽

Taylor Polynomials

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Hyers–Ulam stability of linear fractional differential equations with variable coefficients

Advances in Difference Equations ◽

10.1186/s13662-020-02863-y ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Hui Liu ◽

Yongjin Li

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Variable Coefficients ◽

Ulam Stability ◽

Fractional Differential ◽

Linear Fractional Differential Equations

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Modified methods for solving two classes of distributed order linear fractional differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.11.047 ◽

2018 ◽

Vol 323 ◽

pp. 106-119 ◽

Author(s):

Mourad S. Semary ◽

Hany N. Hassan ◽

Ahmed G. Radwan

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Order Linear ◽

Fractional Differential ◽

Distributed Order ◽

Linear Fractional Differential Equations

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The approximate solution of high-order linear difference equations with variable coefficients in terms of Taylor polynomials

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.08.043 ◽

2005 ◽

Vol 168 (1) ◽

pp. 76-88 ◽

Author(s):

Mustafa Gülsu ◽

Mehmet Sezer

Keyword(s):

Approximate Solution ◽

Difference Equations ◽

Variable Coefficients ◽

Linear Difference Equations ◽

Order Linear ◽

Taylor Polynomials

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A New and Elegant Approach for Solving $$\varvec{n \times n}$$ n × n -Order Linear Fractional Differential Equations

Mediterranean Journal of Mathematics ◽

10.1007/s00009-017-0899-5 ◽

2017 ◽

Vol 14 (2) ◽

Author(s):

Faisal Ababneh ◽

Marwan Alquran ◽

Kamel Al-Khaled ◽

Joydev Chattopadhyay

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Order Linear ◽

Fractional Differential ◽

Linear Fractional Differential Equations

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On Approximate Solution of Fractional Differential Equations with Variable Coefficients

British Journal of Mathematics & Computer Science ◽

10.9734/bjmcs/2016/23568 ◽

2016 ◽

Vol 14 (1) ◽

pp. 1-17

Author(s):

Hammad Khalil ◽

Rahmat Khan

Keyword(s):

Approximate Solution ◽

Differential Equations ◽

Fractional Differential Equations ◽

Variable Coefficients ◽

Fractional Differential

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