Found 36 Documents (Results 1–36)
Innovative insights into wave phenomena: computational exploration of nonlinear complex fractional generalized-Zakharov system. (English) Zbl 1539.35219
Generalized forms of fractional Euler and Runge-Kutta methods using non-uniform grid. (English) Zbl 07773891
Explicit soliton solutions to the fractional order nonlinear models through the Atangana beta derivative. (English) Zbl 1529.35435
Special functions of fractional calculus. Applications to diffusion and random search processes. (English) Zbl 1514.33001
Singapore: World Scientific (ISBN 978-981-12-5294-5/hbk; 978-981-12-5296-9/ebook). xvii, 273 p. (2023).
Reviewer: S. L. Kalla (Chesterfield)
On the nondifferentiable exact solutions to Schamel’s equation with local fractional derivative on Cantor sets. (English) Zbl 1533.65204
A comparative analysis report on the multi-wave fractional Hirota equation in nonlinear dispersive media. (English) Zbl 1509.35275
Numerical analysis of newly developed fractal-fractional model of Casson fluid with exponential memory. (English) Zbl 1497.65131
Exact soliton solutions for conformable fractional six wave interaction equations by the ansatz method. (English) Zbl 1504.35598
Fractional power series approach for the solution of fractional-order integro-differential equations. (English) Zbl 1486.45018
Comparative analysis of nonlinear viscoelastic models across common biomechanical experiments. (English) Zbl 1484.74009
Reviewer: Vinod K. Arya (Dallas)
\(m\)-parameter Mittag-Leffler function, its various properties, and relation with fractional calculus operators. (English) Zbl 1485.33020
Reviewer: C. L. Parihar (Indore)
Extreme statistics of anomalous subdiffusion following a fractional Fokker-Planck equation: subdiffusion is faster than normal diffusion. (English) Zbl 1519.35332
On explicit wave solutions of the fractional nonlinear DSW system via the modified Khater method. (English) Zbl 1482.76026
Matrix Mittag-Leffler function and solution of multi-term fractional differential equations. (English) Zbl 1474.34026
Using a numerical method by omitting discretization of data to study numerical solutions for boundary value problems of fractional order differential equations. (English) Zbl 1440.65076
Rational approximation of the rough Heston solution. (English) Zbl 1458.91211
Reviewer: George Stoica (Saint John)
Introduction to fractional differential equations. (English) Zbl 1417.34004
Nonlinear Systems and Complexity 25. Cham: Springfer (ISBN 978-3-030-00894-9/hbk; 978-3-030-00895-6/ebook). xiii, 188 p. (2019).
Reviewer: Syed Abbas (Mandi)
A numerical method for solving a class of fractional optimal control problems using Boubaker polynomial expansion scheme. (English) Zbl 1513.49072
A generalization of the Mittag-Leffler function and solution of system of fractional differential equations. (English) Zbl 1446.33013
New analytical technique for solving a system of nonlinear fractional partial differential equations. (English) Zbl 1395.65055
Mathematics 5, No. 4, Paper No. 47, 15 p. (2017); correction ibid. 6, No. 2, Paper No. 26, 1 p. (2018).
New study of weakly singular kernel fractional fourth-order partial integro-differential equations based on the optimum \(q\)-homotopic analysis method. (English) Zbl 1415.65280
Fractional and multivariable calculus. Model building and optimization problems. (English) Zbl 1376.26001
Springer Optimization and Its Applications 122. Cham: Springer (ISBN 978-3-319-59992-2/hbk; 978-3-319-59993-9/ebook). xiii, 234 p. (2017).
Reviewer: James Adedayo Oguntuase (Abeokuta)
The \(N\)-link pendulum: embedding nonlinear dynamics into the multidimensional scaling method. (English) Zbl 1360.70009
Analytical approximations for Fokker-Planck equations of fractional order in multistep schemes. (English) Zbl 1364.35369
A new solution method for nonlinear fractional integro-differential equations. (English) Zbl 1337.65175
Nonstandard Gauss-Lobatto quadrature approximation to fractional derivatives. (English) Zbl 1314.65037
Fractional-order Riccati differential equation: analytical approximation and numerical results. (English) Zbl 1444.65028
On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation. (English) Zbl 1359.65314
Analytical approximate solution of nonlinear dynamic system containing fractional derivative by modified decomposition method. (English) Zbl 1108.65129
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