The Adomian Decomposition Method for a Type of Fractional Differential Equations

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Journal of Applied Mathematics and Physics

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"The Adomian Decomposition Method for a Type of Fractional Differential Equations"
written by Peng Guo,
published by Journal of Applied Mathematics and Physics, Vol.7 No.10, 2019

has been cited by the following article(s):

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[1]	Studying a time‐fractional moving boundary diffusion model of solvent through a glassy polymer: A computational approach International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2024 DOI:10.1002/jnm.3181

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[6]	Studying a time‐fractional moving boundary diffusion model of solvent through a glassy polymer: A computational approach International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2024 DOI:10.1002/jnm.3181

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[8]	Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation Demonstratio Mathematica, 2023 DOI:10.1515/dema-2022-0220

[9]	Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations Journal of Computational and Nonlinear Dynamics, 2023 DOI:10.1115/1.4056254

[10]	Derivation and implementation a 3–stage fractional Runge-Kutta method for solving initial value problems INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING ICCMSE 2021, 2023 DOI:10.1063/5.0114601

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[13]	Assorted soliton structures of solutions for fractional nonlinear Schrodinger types evolution equations Journal of Ocean Engineering and Science, 2022 DOI:10.1016/j.joes.2021.10.006

[14]	Novel optical solitons and other wave structures of solutions to the fractional order nonlinear Schrodinger equations Optical and Quantum Electronics, 2022 DOI:10.1007/s11082-022-03891-6

[15]	Applying the Reproducing Kernel Method to Fractional Differential Equations with Periodic Conditions in Hilbert Space Journal of Mathematics, 2022 DOI:10.1155/2022/6261378

[16]	Applying the Reproducing Kernel Method to Fractional Differential Equations with Periodic Conditions in Hilbert Space Journal of Mathematics, 2022 DOI:10.1155/2022/6261378

[17]	Novel and diverse soliton constructions for nonlinear space–time fractional modified Camassa–Holm equation and Schrodinger equation Optical and Quantum Electronics, 2022 DOI:10.1007/s11082-022-03602-1

[18]	A Legendre‐based approach of the optimized decomposition method for solving nonlinear Caputo‐type fractional differential equations Mathematical Methods in the Applied Sciences, 2022 DOI:10.1002/mma.8237

[19]	A variety of solitons on the oceans exposed by the Kadomtsev Petviashvili-modified equal width equation adopting different techniques Journal of Ocean Engineering and Science, 2022 DOI:10.1016/j.joes.2022.07.001

[20]	A novel conformable Laplace transform for conformable fractional Lane–Emden type equations International Journal of Computer Mathematics, 2022 DOI:10.1080/00207160.2022.2037575

[21]	New Soliton Solutions of Time-Fractional Korteweg–de Vries Systems Universe, 2022 DOI:10.3390/universe8090444

[22]	Analytical Approximate Solutions of Nonlinear Fractional-Order Nonhomogeneous Differential Equations Diyala Journal of Engineering Sciences , 2022 DOI:10.24237/djes.2022.15310

[23]	A novel study of the nonlinear Kadomtsev–Petviashvili-modified equal width equation describing the behavior of solitons Optical and Quantum Electronics, 2022 DOI:10.1007/s11082-022-04138-0

[24]	A Review of the Digital Implementation of Continuous-Time Fractional-Order Chaotic Systems Using FPGAs and Embedded Hardware Archives of Computational Methods in Engineering, 2022 DOI:10.1007/s11831-022-09824-6

[25]	Generalized sine–cosine wavelet method for Caputo–Hadamard fractional differential equations Mathematical Methods in the Applied Sciences, 2022 DOI:10.1002/mma.8325

[26]	Improved Soliton Solutions of Generalized Fifth Order Time-Fractional KdV Models: Laplace Transform with Homotopy Perturbation Algorithm Universe, 2022 DOI:10.3390/universe8110563

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[28]	Improved Soliton Solutions of Generalized Fifth Order Time-Fractional KdV Models: Laplace Transform with Homotopy Perturbation Algorithm Universe, 2022 DOI:10.3390/universe8110563

[29]	New Soliton Solutions of Time-Fractional Korteweg–de Vries Systems Universe, 2022 DOI:10.3390/universe8090444

[30]	A Numerical Computation for an Impulsive Fractional Differential Equation with a Deviated Argument Symmetry, 2022 DOI:10.3390/sym14112404

[31]	New and more fractional soliton solutions related to generalized Davey–Stewartson equation using oblique wave transformation Modern Physics Letters B, 2021 DOI:10.1142/S0217984921503176

[32]	Apposite solutions to fractional nonlinear Schrödinger-type evolution equations occurring in quantum mechanics Modern Physics Letters B, 2021 DOI:10.1142/S0217984921504704

[33]	Wave Structures for Nonlinear Schrodinger Types Fractional Partial Differential Equations Arise in Physical Sciences Engineering International, 2021 DOI:10.18034/ei.v9i2.560

[34]	Numerical Solution of Initial Value Problems of Time-Fractional Order via a Novel Fractional 4-Stage Runge-Kutta Method 2021 7th International Conference on Contemporary Information Technology and Mathematics (ICCITM), 2021 DOI:10.1109/ICCITM53167.2021.9677713

[35]	Numerical Comparison of FNVIM and FNHPM for Solving a Certain Type of Nonlinear Caputo Time-Fractional Partial Differential Equations Annales Mathematicae Silesianae, 2020 DOI:10.2478/amsil-2020-0008

[36]	The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations Alexandria Engineering Journal, 2020 DOI:10.1016/j.aej.2020.01.054

[37]	Numerical Comparison of FNVIM and FNHPM for Solving a Certain Type of Nonlinear Caputo Time-Fractional Partial Differential Equations Annales Mathematicae Silesianae, 2020 DOI:10.2478/amsil-2020-0008

[38]	The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations Alexandria Engineering Journal, 2020 DOI:10.1016/j.aej.2020.01.054

[39]	Numerical Comparison of FNVIM and FNHPM for Solving a Certain Type of Nonlinear Caputo Time-Fractional Partial Differential Equations Annales Mathematicae Silesianae, 2020 DOI:10.2478/amsil-2020-0008

[40]	The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations Alexandria Engineering Journal, 2020 DOI:10.1016/j.aej.2020.01.054

[41]	Numerical Comparison of FNVIM and FNHPM for Solving a Certain Type of Nonlinear Caputo Time-Fractional Partial Differential Equations Annales Mathematicae Silesianae, 2020 DOI:10.2478/amsil-2020-0008

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