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Keywords: Caputo derivative
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2024, 19(1): 011001.
Paper No: CND-22-1328
Published Online: October 26, 2023
...-mail:  reetika.chawla285@gmail.com e-mail:  dkumar@pilani.bits-pilani.ac.in e-mail:  satpalsingh1704@gmail.com 26 11 2022 24 08 2023 26 10 2023 generalized time-fractional Burgers' equation Caputo derivative quasi-linearization Crank–Nicolson method stability University Grants...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2023, 18(10): 101003.
Paper No: CND-22-1295
Published Online: July 26, 2023
.... , and Daftardar-Gejji , V. , 2011 , “ Convergence of the New Iterative Method ,” Int. J. Differ. Equations , 2011 , pp. 1 – 10 . 10.1155/2011/989065 1 Corresponding author. e-mail:  mkmath14@gmail.com 26 10 2022 17 06 2023 26 07 2023 Caputo derivative fractional...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2023, 18(9): 091007.
Paper No: CND-22-1149
Published Online: July 12, 2023
... of simulating related fractional models. 1 Corresponding author. e-mails:  odibat@bau.edu.jo ; z.odibat@gmail.com 08 06 2022 05 06 2023 12 07 2023 Caputo derivative Mittag-Leffler kernel fractional differential equation predictor–corrector algorithm Fractional...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2023, 18(2): 021001.
Paper No: CND-21-1340
Published Online: December 9, 2022
... , Basel, Switzerland . 1 Corresponding author. e-mail:  odibat@bau.edu.jo ; z.odibat@gmail.com 26 10 2021 02 11 2022 09 12 2022 optimized decomposition method linear approximation Adomian decomposition method Caputo derivative fractional differential equation...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2023, 18(1): 011006.
Paper No: CND-21-1250
Published Online: November 21, 2022
... 2 − β + ( 1 − x ) 2 − β ) ] e-mail:  merfat2019@csu.edu.cn e-mail:  eyayafekadie@hnu.edu.cn 1 Corresponding author. e-mail:  bxdai@csu.edu.cn 17 08 2021 27 10 2022 21 11 2022 Crank–Nicolson scheme Caputo derivative Riesz...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2015, 10(2): 021019.
Paper No: CND-14-1030
Published Online: March 1, 2015
... reaction subdiffusion equation Neumann boundary conditions operational matrix Tau-spectral method Riemann–Liouville integral Caputo derivative In recent decades, fractional differential equations (FDEs) (differential equations with noninteger arbitrary order) have gained much attention...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2013, 8(2): 021011.
Paper No: CND-12-1068
Published Online: August 31, 2012
... with the analytic solutions and with the ones provided by three standard methods for solving the fractional differential equations we conclude that our method gave comparable results. fractional calculus 0perational matrix Legendre polynomials Caputo derivative tau method Fractional calculus...