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Lie symmetries analysis and conservation laws for the fractional Calogero–Degasperis–Ibragimov–Shabat equation.
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- International Journal of Geometric Methods in Modern Physics, 2018, v. 15, n. 7, p. N.PAG, doi. 10.1142/S0219887818501104
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- Article
A New Bernoulli Wavelet Method for Numerical Solutions of Nonlinear Weakly Singular Volterra Integro-Differential Equations.
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- International Journal of Computational Methods, 2017, v. 14, n. 3, p. -1, doi. 10.1142/S0219876217500220
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- Article
A novel method for new solutions of time fractional (1+2)-dimensional nonlinear Schrödinger equation involving dual-power law nonlinearity.
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- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2019, v. 33, n. 24, p. N.PAG, doi. 10.1142/S0217979219502801
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Wavelet Methods for Solving Fractional Order Differential Equations.
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- Mathematical Problems in Engineering, 2014, p. 1, doi. 10.1155/2014/140453
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- Article
A Novel Study Based on Shifted Jacobi Polynomials to Find the Numerical Solutions of Nonlinear Stochastic Differential Equations Driven by Fractional Brownian Motion.
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- Computational Methods in Applied Mathematics, 2023, v. 23, n. 3, p. 715, doi. 10.1515/cmam-2022-0187
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A Collocation Method for Nonlinear Stochastic Differential Equations Driven by Fractional Brownian Motion and its Application to Mathematical Finance.
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- Methodology & Computing in Applied Probability, 2024, v. 26, n. 2, p. 1, doi. 10.1007/s11009-024-10087-w
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- Article
A new method for exact solutions of variant types of time-fractional Korteweg-de Vries equations in shallow water waves.
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- Mathematical Methods in the Applied Sciences, 2017, v. 40, n. 1, p. 106, doi. 10.1002/mma.3970
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A novel attempt for finding comparatively accurate solution for sine-Gordon equation comprising Riesz space fractional derivative.
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- Mathematical Methods in the Applied Sciences, 2016, v. 39, n. 11, p. 2871, doi. 10.1002/mma.3736
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The comparison of two reliable methods for accurate solution of time-fractional Kaup-Kupershmidt equation arising in capillary gravity waves.
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- Mathematical Methods in the Applied Sciences, 2016, v. 39, n. 3, p. 583, doi. 10.1002/mma.3503
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Analytical approximate solutions of Riesz fractional diffusion equation and Riesz fractional advection-dispersion equation involving nonlocal space fractional derivatives.
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- Mathematical Methods in the Applied Sciences, 2015, v. 38, n. 13, p. 2840, doi. 10.1002/mma.3267
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- Article
A novel method for travelling wave solutions of fractional Whitham-Broer-Kaup, fractional modified Boussinesq and fractional approximate long wave equations in shallow water.
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- Mathematical Methods in the Applied Sciences, 2015, v. 38, n. 7, p. 1352, doi. 10.1002/mma.3151
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- Article
A new numerical approach for the solution of nonlinear Fredholm integral equations system of second kind by using Bernstein collocation method.
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- Mathematical Methods in the Applied Sciences, 2015, v. 38, n. 2, p. 274, doi. 10.1002/mma.3067
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Numerical Methods for Solving Fredholm Integral Equations of Second Kind.
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- Abstract & Applied Analysis, 2013, p. 1, doi. 10.1155/2013/426916
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- Article
Fractal Ion Acoustic Waves of the Space-Time Fractional Three Dimensional KP Equation.
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- Advances in Mathematical Physics, 2020, p. 1, doi. 10.1155/2020/8323148
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Numerical solution of unperturbed and general perturbed Newell–Whitehead–Segel equation by the local discontinuous Galerkin method.
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- International Journal of Modern Physics C: Computational Physics & Physical Computation, 2023, v. 34, n. 4, p. 1, doi. 10.1142/S0129183123500493
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- Article
New bright soliton solutions for Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equations and bidirectional propagation of water wave surface.
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- International Journal of Modern Physics C: Computational Physics & Physical Computation, 2022, v. 33, n. 5, p. 1, doi. 10.1142/S0129183122500693
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Stability analysis and modified projective synchronization of fractional-order hyperchaotic dynamical systems using nonlinear controllers.
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- International Journal of Modern Physics C: Computational Physics & Physical Computation, 2021, v. 32, n. 6, p. N.PAG, doi. 10.1142/S0129183121500819
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- Article
The formation of dynamic variable order fractional differential equation.
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- International Journal of Modern Physics C: Computational Physics & Physical Computation, 2016, v. 27, n. 7, p. 1, doi. 10.1142/S0129183116500741
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On the Solutions of Fractional Burgers-Fisher and Generalized Fisher's Equations Using Two Reliable Methods.
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- International Journal of Mathematics & Mathematical Sciences, 2014, p. 1, doi. 10.1155/2014/682910
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- Article
A New Coupled Fractional Reduced Differential Transform Method for the Numerical Solutions of (2 + 1)-Dimensional Time Fractional Coupled Burger Equations.
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- Modelling & Simulation in Engineering, 2014, p. 1, doi. 10.1155/2014/960241
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- Article
Symmetry analysis, optimal subalgebra, quasi-self-adjointness condition with conservation laws and analytical solutions for the (1+1)-dimensional Pochhammer–Chree model in longitudinal wave propagation.
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- Pramana: Journal of Physics, 2024, v. 98, n. 1, p. 1, doi. 10.1007/s12043-023-02722-x
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Dynamical investigation of the perturbed Chen–Lee–Liu model with conformable fractional derivative.
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- Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2024, v. 79, n. 10, p. 997, doi. 10.1515/zna-2024-0112
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SOLUTION OF AN EXTRAORDINARY DIFFERENTIAL EQUATION BY ADOMIAN DECOMPOSITION METHOD.
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- Journal of Applied Mathematics, 2009, p. 331
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- Article
Use of optimal subalgebra for the analysis of Lie symmetry, symmetry reductions, invariant solutions and conservation laws of the (3+1)-dimensional extended Sakovich equation.
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- International Journal of Geometric Methods in Modern Physics, 2023, v. 20, n. 10, p. 1, doi. 10.1142/S021988782350161X
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- Article
New abundant analytic solutions for generalized KdV6 equation with time-dependent variable coefficients using Painlevé analysis and auto-Bäcklund transformation.
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- International Journal of Geometric Methods in Modern Physics, 2022, v. 19, n. 6, p. 1, doi. 10.1142/S0219887822500864
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Painlevé analysis, group invariant analysis, similarity reduction, exact solutions, and conservation laws of Mikhailov–Novikov–Wang equation.
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- International Journal of Geometric Methods in Modern Physics, 2021, v. 18, n. 6, p. N.PAG, doi. 10.1142/S0219887821500948
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- Article
The Petrov–Galerkin finite element method for the numerical solution of time-fractional Sharma–Tasso–Olver equation.
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- International Journal of Modeling, Simulation & Scientific Computing, 2019, v. 10, n. 1, p. N.PAG, doi. 10.1142/S1793962319410071
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Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models.
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- International Journal of Biomathematics, 2022, v. 15, n. 5, p. 1, doi. 10.1142/S1793524522500279
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Numerical solutions of stochastic Fisher equation to study migration and population behavior in biological invasion.
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- International Journal of Biomathematics, 2017, v. 10, n. 7, p. -1, doi. 10.1142/S1793524517501030
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- Article
Symmetry analysis with similarity reduction, new exact solitary wave solutions and conservation laws of (3 + 1)-dimensional extended quantum Zakharov–Kuznetsov equation in quantum physics.
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- Modern Physics Letters B, 2021, v. 35, n. 9, p. N.PAG, doi. 10.1142/S0217984921501633
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- Article
Lie symmetries, exact solutions and conservation laws of the Oskolkov–Benjamin–Bona–Mahony–Burgers equation.
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- Modern Physics Letters B, 2020, v. 34, n. 1, p. N.PAG, doi. 10.1142/S0217984920500128
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- Article
The new soliton wave solutions of conformable time-fractional Rosenau–Kawahara-RLW equation.
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- Modern Physics Letters B, 2019, v. 33, n. 29, p. N.PAG, doi. 10.1142/S0217984919503652
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New soliton solutions of conformable time fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation in modeling wave phenomena.
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- Modern Physics Letters B, 2019, v. 33, n. 18, p. N.PAG, doi. 10.1142/S0217984919502026
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New exact solutions for the Wick-type stochastic nonlinear Schrödinger equation in nonlinear optics.
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- Modern Physics Letters B, 2019, v. 33, n. 9, p. N.PAG, doi. 10.1142/S0217984919501094
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- Article
The time-splitting Fourier spectral method for Riesz fractional coupled Schrödinger–KdV equations in plasma physics.
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- Modern Physics Letters B, 2018, v. 32, n. 28, p. N.PAG, doi. 10.1142/S0217984918503414
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- Article
Lie symmetry analysis and reduction for exact solution of (2+1)-dimensional Bogoyavlensky-Konopelchenko equation by geometric approach.
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- Modern Physics Letters B, 2018, v. 32, n. 11, p. -1, doi. 10.1142/S0217984918501270
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- Article
Lie symmetry analysis for similarity reduction and exact solutions of modified KdV-Zakharov-Kuznetsov equation.
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- Nonlinear Dynamics, 2017, v. 87, n. 3, p. 1995, doi. 10.1007/s11071-016-3169-3
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- Article
New solitary wave solutions of time-fractional coupled Jaulent-Miodek equation by using two reliable methods.
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- Nonlinear Dynamics, 2016, v. 85, n. 2, p. 1167, doi. 10.1007/s11071-016-2751-z
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- Article
Numerical Solutions of Stochastic Volterra–Fredholm Integral Equations by Hybrid Legendre Block-Pulse Functions.
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- International Journal of Nonlinear Sciences & Numerical Simulation, 2018, v. 19, n. 3/4, p. 289, doi. 10.1515/ijnsns-2017-0038
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- Article
Sinc-Galerkin Technique for the Numerical Solution of Fractional Volterra-Fredholm Integro-Differential Equations with Weakly Singular Kernels.
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- International Journal of Nonlinear Sciences & Numerical Simulation, 2016, v. 17, n. 6, p. 315, doi. 10.1515/ijnsns-2016-0002
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- Article
On the Soliton Solution and Jacobi Doubly Periodic Solution of the Fractional Coupled Schrödinger-KdV Equation by a Novel Approach.
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- International Journal of Nonlinear Sciences & Numerical Simulation, 2015, v. 16, n. 2, p. 79, doi. 10.1515/ijnsns-2014-0050
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- Article
A New Coupled Fractional Reduced Differential Transform Method for Solving Time Fractional Coupled KdV Equations.
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- International Journal of Nonlinear Sciences & Numerical Simulation, 2013, v. 14, n. 7/8, p. 501, doi. 10.1515/ijnsns-2013-0070
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- Article
Wavelet-Galerkin Method for the Solution of Shear Wave Equation.
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- International Journal of Nonlinear Sciences & Numerical Simulation, 2013, v. 14, n. 5, p. 267, doi. 10.1515/ijnsns-2011-0189
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- Article
A two-dimensional Haar wavelet approach for the numerical simulations of time and space fractional Fokker-Planck equations in modelling of anomalous diffusion systems.
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- Journal of Mathematical Chemistry, 2014, v. 52, n. 8, p. 2277, doi. 10.1007/s10910-014-0384-3
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- Article
Comparative analysis of variational iteration method and Haar wavelet method for the numerical solutions of Burgers-Huxley and Huxley equations.
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- Journal of Mathematical Chemistry, 2014, v. 52, n. 4, p. 1066, doi. 10.1007/s10910-014-0327-z
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- Article
Comparison of two reliable analytical methods based on the solutions of fractional coupled Klein-Gordon-Zakharov equations in plasma physics.
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- Computational Mathematics & Mathematical Physics, 2016, v. 56, n. 7, p. 1319, doi. 10.1134/S0965542516070162
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Numerical solutions and solitary wave solutions of fractional KDV equations using modified fractional reduced differential transform method.
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- Computational Mathematics & Mathematical Physics, 2013, v. 53, n. 12, p. 1870, doi. 10.1134/S0965542513120142
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A numerical treatment of the Rosenau–Hyman equation for modeling pattern formation in liquid droplets.
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- Modern Physics Letters B, 2024, v. 38, n. 12, p. 1, doi. 10.1142/S0217984924500386
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- Article
Optical spatiotemporal solitary wave solutions of the generalized (3+1)-dimensional Gross–Pitaevskii equation with distributed coefficients.
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- Modern Physics Letters B, 2023, v. 37, n. 30, p. 1, doi. 10.1142/S0217984923501129
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Numerical and analytical investigations for solution of fractional Gilson–Pickering equation arising in plasma physics.
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- Modern Physics Letters B, 2022, v. 36, n. 13, p. 1, doi. 10.1142/S0217984922500464
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- Article