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Keywords: fractional derivative
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Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2023, 18(4): 041004.
Paper No: CND-21-1345
Published Online: March 7, 2023
... of Fractional Blood Alcohol Model With Composite Fractional Derivative ,” Chaos, Solitons Fractals , 140 , p. 110127 . 10.1016/j.chaos.2020.110127 [10] Caputo , M. , and Fabrizio , M. , 2015 , “ A New Definition of Fractional Derivative Without Singular Kernel ,” Prog. Fractional...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2019, 14(11): 111008.
Paper No: CND-19-1086
Published Online: September 23, 2019
...@ju.edu.jo e-mail:  marwan04@just.edu.jo e-mail:  iajaradat@just.edu.jo e-mail:  s.momani@ju.edu.jo e-mail:  dumitru@cankaya.edu.tr 16 03 2019 06 08 2019 23 09 2019 fractional derivative fractional partial differential equations threefold-fractional differential...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2012, 7(2): 021005.
Published Online: January 6, 2012
...Om P. Agrawal; M. Mehedi Hasan; X. W. Tangpong Fractional derivatives (FDs) or derivatives of arbitrary order have been used in many applications, and it is envisioned that in the future they will appear in many functional minimization problems of practical interest. Since fractional derivatives...
Journal Articles
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. July 2011, 6(3): 034501.
Published Online: March 2, 2011
...Manuel D. Ortigueira; Juan J. Trujillo The generalized Grünwald–Letnikov fractional derivative is analyzed in this paper. Its Laplace and Fourier transforms are computed, and some current results are criticized. It is shown that only the forward derivative of a sinusoid exists. This result is used...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2011, 6(2): 021009.
Published Online: October 28, 2010
... is described by a fractional differential equation of order less than 1, and the fractional derivative is defined in terms of Riemann–Liouville. The performance index includes the terminal cost function in addition to the integral cost function. A general transversility condition in addition to the optimal...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2011, 6(2): 021003.
Published Online: October 20, 2010
.... 1007-5704 , 2 ( 4 ), pp. 235 – 236 . 10.1016/S1007-5704(97)90008-3 He , J. H. , 1998 , “ Approximate Analytical Solution for Seepage Flow With Fractional Derivative in Porous Media ,” Comput. Methods Appl. Mech. Eng. 0045-7825 , 167 ( 1–2 ), pp. 57 – 68 . 10.1016/S0045-7825(98)00108...