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Analytical investigation of fractional-order Newell-Whitehead-Segel equations via a novel transform

AIMS mathematics, 2022, Vol.7 (4), p.6936-6958

2022

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The Numerical Investigation of a Fractional-Order Multi-Dimensional Model of Navier–Stokes Equation via Novel Techniques

Symmetry (Basel), 2022-06, Vol.14 (6), p.1102

2022

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Application of Laplace-Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations

Entropy (Basel, Switzerland), 2019-03, Vol.21 (4), p.335

2019

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

Entropy (Basel, Switzerland), 2019-06, Vol.21 (6), p.597

2019

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Analytical Investigation of Noyes–Field Model for Time-Fractional Belousov–Zhabotinsky Reaction

Complexity (New York, N.Y.), 2021, Vol.2021 (1)

2021

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Noise effect on soliton phenomena in fractional stochastic Kraenkel-Manna-Merle system arising in ferromagnetic materials

Scientific reports, 2024-01, Vol.14 (1), p.1810-1810, Article 1810

2024

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Investigating Symmetric Soliton Solutions for the Fractional Coupled Konno–Onno System Using Improved Versions of a Novel Analytical Technique

Mathematics (Basel), 2023-06, Vol.11 (12), p.2686

2023

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Probing Families of Optical Soliton Solutions in Fractional Perturbed Radhakrishnan–Kundu–Lakshmanan Model with Improved Versions of Extended Direct Algebraic Method

Fractal and fractional, 2023-07, Vol.7 (7), p.512

2023

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Fractional View Analysis of Kuramoto–Sivashinsky Equations with Non-Singular Kernel Operators

Symmetry (Basel), 2022-07, Vol.14 (7), p.1463

2022

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Investigating Families of Soliton Solutions for the Complex Structured Coupled Fractional Biswas–Arshed Model in Birefringent Fibers Using a Novel Analytical Technique

Fractal and fractional, 2023-07, Vol.7 (7), p.491

2023

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An Analytical Approach to Solve the Fractional Benney Equation Using the q-Homotopy Analysis Transform Method

Symmetry (Basel), 2023-03, Vol.15 (3), p.669

2023

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An Analytical Technique, Based on Natural Transform to Solve Fractional-Order Parabolic Equations

Entropy (Basel, Switzerland), 2021-08, Vol.23 (8), p.1086

2021

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Analytical Investigation of Fractional-Order Korteweg–De-Vries-Type Equations under Atangana–Baleanu–Caputo Operator: Modeling Nonlinear Waves in a Plasma and Fluid

Symmetry (Basel), 2022-04, Vol.14 (4), p.739

2022

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Fractional Series Solution Construction for Nonlinear Fractional Reaction-Diffusion Brusselator Model Utilizing Laplace Residual Power Series

Symmetry (Basel), 2022-09, Vol.14 (9), p.1944

2022

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Higher-order turbulent characteristics of sinuous alluvial river

Results in engineering, 2023-12, Vol.20, p.101508, Article 101508

2023

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A theoretical stability of mixed convection 3D Sutterby nanofluid flow due to bidirectional stretching surface

Scientific reports, 2023-12, Vol.13 (1), p.22400-22400, Article 22400

2023

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Numerical Investigation of Fractional-Order Swift–Hohenberg Equations via a Novel Transform

Symmetry (Basel), 2021-07, Vol.13 (7), p.1263

2021

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Approximate Analytical Methods for a Fractional-Order Nonlinear System of Jaulent–Miodek Equation with Energy-Dependent Schrödinger Potential

Fractal and fractional, 2023-02, Vol.7 (2), p.140

2023

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Analysis of solitary wave solutions in the fractional-order Kundu-Eckhaus system

Scientific reports, 2024-02, Vol.14 (1), p.3688-3688, Article 3688

2024

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Stability of non-Newtonian nanofluid movement with heat/mass transportation passed through a hydro magnetic elongating/contracting sheet: multiple branches solutions

Scientific reports, 2023-10, Vol.13 (1), p.17760-17760, Article 17760

2023

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Effects of fractional derivative and heat source/sink on MHD free convection flow of nanofluids in a vertical cylinder: A generalized Fourier's law model

Case studies in thermal engineering, 2021-12, Vol.28, p.101518, Article 101518

2021

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Fractional Analysis of Nonlinear Boussinesq Equation under Atangana–Baleanu–Caputo Operator

Symmetry (Basel), 2022-11, Vol.14 (11), p.2417

2022

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The analytical investigation of time-fractional multi-dimensional Navier–Stokes equation

Alexandria engineering journal, 2020-10, Vol.59 (5), p.2941-2956

2020

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Analytical Solutions of Fractional-Order Diffusion Equations by Natural Transform Decomposition Method

Entropy (Basel, Switzerland), 2019-06, Vol.21 (6), p.557

2019

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A homotopy perturbation method with Elzaki transformation for solving the fractional Biswas–Milovic model

Open Physics, 2023-12, Vol.21 (1), p.115-26

2023

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Analytical investigation of fractional-order Newell-Whitehead-Segel equations via a novel transform

The Numerical Investigation of a Fractional-Order Multi-Dimensional Model of Navier–Stokes Equation via Novel Techniques

Application of Laplace-Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations

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

Analytical Investigation of Noyes–Field Model for Time-Fractional Belousov–Zhabotinsky Reaction

Noise effect on soliton phenomena in fractional stochastic Kraenkel-Manna-Merle system arising in ferromagnetic materials

Investigating Symmetric Soliton Solutions for the Fractional Coupled Konno–Onno System Using Improved Versions of a Novel Analytical Technique

Probing Families of Optical Soliton Solutions in Fractional Perturbed Radhakrishnan–Kundu–Lakshmanan Model with Improved Versions of Extended Direct Algebraic Method

Fractional View Analysis of Kuramoto–Sivashinsky Equations with Non-Singular Kernel Operators

Investigating Families of Soliton Solutions for the Complex Structured Coupled Fractional Biswas–Arshed Model in Birefringent Fibers Using a Novel Analytical Technique

An Analytical Approach to Solve the Fractional Benney Equation Using the q-Homotopy Analysis Transform Method

An Analytical Technique, Based on Natural Transform to Solve Fractional-Order Parabolic Equations

Analytical Investigation of Fractional-Order Korteweg–De-Vries-Type Equations under Atangana–Baleanu–Caputo Operator: Modeling Nonlinear Waves in a Plasma and Fluid

Fractional Series Solution Construction for Nonlinear Fractional Reaction-Diffusion Brusselator Model Utilizing Laplace Residual Power Series

Higher-order turbulent characteristics of sinuous alluvial river

A theoretical stability of mixed convection 3D Sutterby nanofluid flow due to bidirectional stretching surface

Numerical Investigation of Fractional-Order Swift–Hohenberg Equations via a Novel Transform

Approximate Analytical Methods for a Fractional-Order Nonlinear System of Jaulent–Miodek Equation with Energy-Dependent Schrödinger Potential

Analysis of solitary wave solutions in the fractional-order Kundu-Eckhaus system

Stability of non-Newtonian nanofluid movement with heat/mass transportation passed through a hydro magnetic elongating/contracting sheet: multiple branches solutions

Effects of fractional derivative and heat source/sink on MHD free convection flow of nanofluids in a vertical cylinder: A generalized Fourier's law model

Fractional Analysis of Nonlinear Boussinesq Equation under Atangana–Baleanu–Caputo Operator

The analytical investigation of time-fractional multi-dimensional Navier–Stokes equation

Analytical Solutions of Fractional-Order Diffusion Equations by Natural Transform Decomposition Method

A homotopy perturbation method with Elzaki transformation for solving the fractional Biswas–Milovic model

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