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Fractional sub-equation method for Hirota-Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana's conformable derivative

Waves in random and complex media, 2019-10, Vol.29 (4), p.678-693

2019

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New solutions to the fractional perturbed Chen-Lee-Liu equation with a new local fractional derivative

Waves in random and complex media, 2024-05, Vol.34 (3), p.1151-1186

2024

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New analytical solutions by the application of the modified double sub-equation method to the (1 + 1)-Schamel-KdV equation, the Gardner equation and the Burgers equation

Physica scripta, 2022-08, Vol.97 (8), p.85218

2022

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Optical solitons solution of resonance nonlinear Schrödinger type equation with Atangana's-conformable derivative using sub-equation method

Waves in random and complex media, 2021-05, Vol.31 (3), p.573-596

2021

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Analytical soliton solutions for the beta fractional derivative Gross–Pitaevskii system with linear magnetic and time dependent laser interactions

Physica scripta, 2024-02, Vol.99 (2), p.25238

2024

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First integral method for non-linear differential equations with conformable derivative

Mathematical modelling of natural phenomena, 2018, Vol.13 (1), p.14

2018

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M-derivative applied to the soliton solutions for the Lakshmanan–Porsezian–Daniel equation with dual-dispersion for optical fibers

Optical and quantum electronics, 2019-01, Vol.51 (1), p.1-28, Article 31

2019

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Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel

Advances in difference equations, 2017-02, Vol.2017 (1), p.1-18, Article 68

2017

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Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel

Advances in difference equations, 2016-07, Vol.2016 (1), p.1-13, Article 173

2016

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Optical solitons of the fractional nonlinear Sasa-Satsuma equation with third-order dispersion and with Kerr nonlinearity law in modulation instability

Optical and quantum electronics, 2022-12, Vol.54 (12), Article 804

2022

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A new local fractional derivative applied to the analytical solutions for the nonlinear Schrödinger equation with third-order dispersion

Journal of nonlinear optical physics & materials, 2022-09, Vol.31 (3)

2022

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Fractional mass-spring system with damping and driving force for modified non-singular kernel derivatives

Archive of applied mechanics (1991), 2024-11, Vol.94 (11), p.3405-3428

2024

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Analytical solutions to the fractional Lakshmanan–Porsezian–Daniel model

Optical and quantum electronics, 2022, Vol.54 (1), Article 32

2022

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Local M-derivative of order α and the modified expansion function method applied to the longitudinal wave equation in a magneto electro-elastic circular rod

Optical and quantum electronics, 2018-10, Vol.50 (10), p.1-11

2018

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M-derivative applied to the dispersive optical solitons for the Schrödinger-Hirota equation

European physical journal plus, 2019-03, Vol.134 (3), p.93, Article 93

2019

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Series Solution for the Time-Fractional Coupled mKdV Equation Using the Homotopy Analysis Method

Mathematical problems in engineering, 2016-01, Vol.2016 (2016), p.1-8

2016

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The concept of nuclear cluster forbiddenness

Journal of physics. G, Nuclear and particle physics, 2015-09, Vol.42 (9), p.95109

2015

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A new modified definition of Caputo–Fabrizio fractional-order derivative and their applications to the Multi Step Homotopy Analysis Method (MHAM)

Journal of computational and applied mathematics, 2019-01, Vol.346, p.247-260

2019

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Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel

Mathematical modelling of natural phenomena, 2018, Vol.13 (1), p.13

2018

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Analytical novel solutions to the fractional optical dynamics in a medium with polynomial law nonlinearity and higher order dispersion with a new local fractional derivative

Physics letters. A, 2021-12, Vol.420, p.127744, Article 127744

2021

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Beta-derivative and sub-equation method applied to the optical solitons in medium with parabolic law nonlinearity and higher order dispersion

Optik (Stuttgart), 2018-02, Vol.155, p.357-365

2018

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New modied Atangana-Baleanu fractional derivative applied to solve nonlinear fractional dierential equations

Physica scripta, 2023-03, Vol.98 (3), p.35202

2023

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Analytical and numerical solutions of electrical circuits described by fractional derivatives

Applied mathematical modelling, 2016-11, Vol.40 (21-22), p.9079-9094

2016

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Bohr Hamiltonian with different mass parameters applied to band structures of Eu isotopes built on Nilsson orbitals

Pramāṇa, 2016-05, Vol.86 (5), p.1055-1066

2016

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Phase transitions for rotational states within an algebraic cluster model

Journal of physics. Conference series, 2016-07, Vol.730 (1), p.12017

2016

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Fractional sub-equation method for Hirota-Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana's conformable derivative

New solutions to the fractional perturbed Chen-Lee-Liu equation with a new local fractional derivative

New analytical solutions by the application of the modified double sub-equation method to the (1 + 1)-Schamel-KdV equation, the Gardner equation and the Burgers equation

Optical solitons solution of resonance nonlinear Schrödinger type equation with Atangana's-conformable derivative using sub-equation method

Analytical soliton solutions for the beta fractional derivative Gross–Pitaevskii system with linear magnetic and time dependent laser interactions

First integral method for non-linear differential equations with conformable derivative

M-derivative applied to the soliton solutions for the Lakshmanan–Porsezian–Daniel equation with dual-dispersion for optical fibers

Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel

Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel

Optical solitons of the fractional nonlinear Sasa-Satsuma equation with third-order dispersion and with Kerr nonlinearity law in modulation instability

A new local fractional derivative applied to the analytical solutions for the nonlinear Schrödinger equation with third-order dispersion

Fractional mass-spring system with damping and driving force for modified non-singular kernel derivatives

Analytical solutions to the fractional Lakshmanan–Porsezian–Daniel model

Local M-derivative of order α and the modified expansion function method applied to the longitudinal wave equation in a magneto electro-elastic circular rod

M-derivative applied to the dispersive optical solitons for the Schrödinger-Hirota equation

Series Solution for the Time-Fractional Coupled mKdV Equation Using the Homotopy Analysis Method

The concept of nuclear cluster forbiddenness

A new modified definition of Caputo–Fabrizio fractional-order derivative and their applications to the Multi Step Homotopy Analysis Method (MHAM)

Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel

Analytical novel solutions to the fractional optical dynamics in a medium with polynomial law nonlinearity and higher order dispersion with a new local fractional derivative

Beta-derivative and sub-equation method applied to the optical solitons in medium with parabolic law nonlinearity and higher order dispersion

New modied Atangana-Baleanu fractional derivative applied to solve nonlinear fractional dierential equations

Analytical and numerical solutions of electrical circuits described by fractional derivatives

Bohr Hamiltonian with different mass parameters applied to band structures of Eu isotopes built on Nilsson orbitals

Phase transitions for rotational states within an algebraic cluster model

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