Natural Transform for Solving Fractional Models

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Journal of Applied Mathematics and Physics

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"Natural Transform for Solving Fractional Models"
written by Ahmed Safwat Abdel-Rady, Saad Zagloul Rida, Anas Ahmed Mohamed Arafa, Hamdy Ragab Abedl-Rahim,
published by Journal of Applied Mathematics and Physics, Vol.3 No.12, 2015

has been cited by the following article(s):

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[1]	The analysis of fractional-order proportional delay physical models via a novel transform
	Complexity, 2022

[2]	A novel approach for solving linear and nonlinear time-fractional Schrödinger equations
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[3]	Analysis of fractional differential equations with Antagana-Baleanu fractional operator
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[4]	An Approximation Approach for Solving FPDEs with the Atangana-Baleanu Operator
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[5]	Analytical Solutions for Nonlinear Fractional Physical Problems Via Natural Homotopy Perturbation Method
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[6]	Numerical solutions of time fractional Sawada Kotera Ito equation via natural transform decomposition method with singular and nonsingular kernel derivatives
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[7]	Fractional Models by Using Adomian Decomposition Method with Mahgoub Transformation
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[8]	A Solution of Airy Differential Equation via Natural Transform
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[9]	Решение -мерного дробного уравнения Бюргерса методом естественного разложения
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[10]	Comparative Analysis of Natural Transform Decomposition Method and New Iterative Method for Fractional Foam Drainage Problem and Fractional Order Modified …
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[11]	Solving ( 1 + n ) -Dimensional Fractional Burgers Equation by Natural Decomposition Method
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[12]	On the Stability Analysis and Solutions of Fractional Order Pine Wilt Disease Model
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[13]	STABILITY ANALYSIS OF GENERALIZED MODEL OF HUMAN T-CELL LYMPHOTROPIC VIRUS I (HTLV-I) INFECTION OF CD4+ T-CELLS
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[14]	Comparative Analysis of Natural Transform Decomposition Method and New Iterative Method for Fractional Foam Drainage Problem and Fractional …
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[15]	Stability analysis of generalized Ebola Hemorrhagic Fever model
	2019

[16]	Analytical Solutions of Fractional-Order Heat and Wave Equations by the Natural Transform Decomposition Method
	2019

[17]	Analytical Solutions of Fractional-Order Diffusion Equations by Natural Transform Decomposition Method
	2019

[18]	Fractional Whitham–Broer–Kaup Equations within Modified Analytical Approaches
	2019

[19]	Solution of Fractional Models by Using Adomian Decomposition Kamal Transform Method
	International Journal on Future Revolution in Computer Science & Communication Engineering, 2019

[20]	Analytical Solution of Fractional-Order Hyperbolic Telegraph Equation, Using Natural Transform Decomposition Method
	2019

[21]	Natural Transform Decomposition Method for Solving Fractional-Order Partial Differential Equations with Proportional Delay
	2019

[22]	The natural transform decomposition method for solving fractional differential equations
	2018

[23]	Natural Daftardar-Jafari method for solving fractional partial differential equations
	Nonlinear Dynamics and …, 2018

[24]	New and Extended Applications of the Natural and Sumudu Transforms: Fractional Diffusion and Stokes Fluid Flow Realms
	Advances in Real and Complex Analysis with Applications, 2017

[25]	Time-Fractional Third-Order Partial Differential Equations of One and Higher Dimensions
	S Ali, R Shams

[26]	Natural transform decomposition method for the numerical treatment of the time fractional Burgers–Huxley equation

[1]	Spatio-temporal fractional shock waves solution for fractional Korteweg-de Vries burgers equations Waves in Random and Complex Media, 2023 DOI:10.1080/17455030.2023.2176737

[2]	Analytical Solution of the Local Fractional KdV Equation Mathematics, 2023 DOI:10.3390/math11040882

[3]	Natural transform decomposition method for the numerical treatment of the time fractional Burgers–Huxley equation Numerical Methods for Partial Differential Equations, 2023 DOI:10.1002/num.22983

[4]	Comparative analysis of fractional dynamical systems with various operators AIMS Mathematics, 2023 DOI:10.3934/math.2023714

[5]	Fractional view analysis of the diffusion equations via a natural Atangana-Baleanu operator Alexandria Engineering Journal, 2023 DOI:10.1016/j.aej.2023.10.031

[6]	Solution of Time-Fractional Third-Order Partial Differential Equations of One and Higher Dimensions VFAST Transactions on Mathematics, 2023 DOI:10.21015/vtm.v10i2.1301

[7]	A novel approach for solving linear and nonlinear time-fractional Schrödinger equations Chaos, Solitons & Fractals, 2022 DOI:10.1016/j.chaos.2022.112487

[8]	The Analysis of Fractional-Order Proportional Delay Physical Models via a Novel Transform Complexity, 2022 DOI:10.1155/2022/2431533

[9]	A novel approach for solving linear and nonlinear time-fractional Schrödinger equations Chaos, Solitons & Fractals, 2022 DOI:10.1016/j.chaos.2022.112487

[10]	Natural transform decomposition method for the numerical treatment of the time fractional Burgers–Huxley equation Numerical Methods for Partial Differential Equations, 2022 DOI:10.1002/num.22983

[11]	Analytical Solutions for Nonlinear Fractional Physical Problems Via Natural Homotopy Perturbation Method International Journal of Applied and Computational Mathematics, 2021 DOI:10.1007/s40819-021-01110-6

[12]	Numerical solutions of time fractional Sawada Kotera Ito equation via natural transform decomposition method with singular and nonsingular kernel derivatives Mathematical Methods in the Applied Sciences, 2021 DOI:10.1002/mma.7672

[13]	Analytical Solutions for Nonlinear Fractional Physical Problems Via Natural Homotopy Perturbation Method International Journal of Applied and Computational Mathematics, 2021 DOI:10.1007/s40819-021-01110-6

[14]	The Investigation of the Fractional-View Dynamics of Helmholtz Equations Within Caputo Operator Computers, Materials & Continua, 2021 DOI:10.32604/cmc.2021.015252

[15]	Proceedings of International Conference on Trends in Computational and Cognitive Engineering Advances in Intelligent Systems and Computing, 2021 DOI:10.1007/978-981-15-5414-8_12

[16]	Solving $$(1+n)$$-Dimensional Fractional Burgers Equation by Natural Decomposition Method Numerical Analysis and Applications, 2020 DOI:10.1134/S1995423920040072

[17]	Comparative Analysis of Natural Transform Decomposition Method and New Iterative Method for Fractional Foam Drainage Problem and Fractional Modified Regularized Long Wave equation Fractals, 2020 DOI:10.1142/S0218348X20501248

[18]	Analytical Solutions of Fractional-Order Diffusion Equations by Natural Transform Decomposition Method Entropy, 2019 DOI:10.3390/e21060557

[19]	Natural Transform Decomposition Method for Solving Fractional-Order Partial Differential Equations with Proportional Delay Mathematics, 2019 DOI:10.3390/math7060532

[20]	Analytical Solutions of Fractional-Order Heat and Wave Equations by the Natural Transform Decomposition Method Entropy, 2019 DOI:10.3390/e21060597

[21]	Analytical Solution of Fractional-Order Hyperbolic Telegraph Equation, Using Natural Transform Decomposition Method Electronics, 2019 DOI:10.3390/electronics8091015

[22]	Fractional Whitham–Broer–Kaup Equations within Modified Analytical Approaches Axioms, 2019 DOI:10.3390/axioms8040125

[23]	Advances in Real and Complex Analysis with Applications Trends in Mathematics, 2017 DOI:10.1007/978-981-10-4337-6_6

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