Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

The extended Fan’s sub-equation method and its application to nonlinear Schrödinger equation with saturable nonlinearity

Asma Rashid Butt, Jaweria Zaka, Ali Akgül and Sayed M. El Din
Results in Physics 50 106543 (2023)
DOI: 10.1016/j.rinp.2023.106543
See this article

Analytical soliton solutions of the fractional order dual-mode nonlinear Schrödinger equation with time-space conformable sense by some procedures

Bahadır Kopçasız and Emrullah Yaşar
Optical and Quantum Electronics 55 (7) (2023)
DOI: 10.1007/s11082-023-04878-7
See this article

Optical solitonic structures with singular and non-singular kernel for nonlinear fractional model in quantum mechanics

Muhammad Imran Asjad, Mustafa Inc, Waqas Ali Faridi, et al.
Optical and Quantum Electronics 55 (3) (2023)
DOI: 10.1007/s11082-022-04488-9
See this article

The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation

Yusuf Pandir, Tolga Akturk, Yusuf Gurefe, Hussain Juya and Muhammad Nadeem
Advances in Mathematical Physics 2023 1 (2023)
DOI: 10.1155/2023/1091355
See this article

Alternative optical phase of the conformable ferromagnetic and antiferromagnetic media

Talat Körpinar, Rıdvan Cem Demirkol and Zeliha Körpınar
Waves in Random and Complex Media 1 (2023)
DOI: 10.1080/17455030.2023.2226233
See this article

A New Version of the Generalized F-Expansion Method for the Fractional Biswas-Arshed Equation and Boussinesq Equation with the Beta-Derivative

Yusuf Pandir, Yusuf Gurefe and Calogero Vetro
Journal of Function Spaces 2023 1 (2023)
DOI: 10.1155/2023/1980382
See this article

Complexitons, Bilinear forms and Bilinear Bäcklund transformation of a (2+1)-dimensional Boiti–Leon–Manna–Pempinelli model describing incompressible fluid

Asma Rashid Butt, Zil-E-Huma, Nauman Raza, Mustafa Inc and Rubayyi T. Alqahtani
Chaos, Solitons & Fractals 168 113201 (2023)
DOI: 10.1016/j.chaos.2023.113201
See this article

Some traveling wave solutions to the generalized (3 + 1)‐dimensional Korteweg–de Vries–Zakharov–Kuznetsov equation in plasma physics

Kalim U. Tariq and Rizwan Javed
Mathematical Methods in the Applied Sciences 46 (12) 12200 (2023)
DOI: 10.1002/mma.8596
See this article

Incorporating fractional operators into interaction dynamics studies: An eco-epidemiological model

Feng Li, B. Günay, K.S. Nisar and Mohammed Shaaf Alharthi
Results in Physics 47 106385 (2023)
DOI: 10.1016/j.rinp.2023.106385
See this article

New structures for exact solution of nonlinear fractional Sharma–Tasso–Olver equation by conformable fractional derivative

Asma Rashid Butt, Jaweria Zaka, Ali Akgül and Sayed M. El Din
Results in Physics 50 106541 (2023)
DOI: 10.1016/j.rinp.2023.106541
See this article

Acoustic wave structures for the confirmable time-fractional Westervelt equation in ultrasound imaging

Tahira Sumbal Shaikh, Muhammad Zafarullah Baber, Nauman Ahmed, Muhammad Sajid Iqbal, Ali Akgül and Sayed M. El Din
Results in Physics 49 106494 (2023)
DOI: 10.1016/j.rinp.2023.106494
See this article

Exact Solutions of Nonlinear Time Fractional Schrödinger Equation with Beta-Derivative

Volkan ALA
Fundamentals of Contemporary Mathematical Sciences 4 (1) 1 (2023)
DOI: 10.54974/fcmathsci.1083724
See this article

Construction of different wave structures, stability analysis and modulation instability of the coupled nonlinear Drinfel’d–Sokolov–Wilson model

Kalim U. Tariq, Abdul-Majid Wazwaz and Rizwan Javed
Chaos, Solitons & Fractals 166 112903 (2023)
DOI: 10.1016/j.chaos.2022.112903
See this article

Novel Exact Traveling Wave Solutions for Nonlinear Wave Equations with Beta-Derivatives via the sine-Gordon Expansion Method

Thitthita Iatkliang, Supaporn Kaewta, Nguyen Minh Tuan and Sekson Sirisubtawee
DOI: 10.37394/23206.2023.22.50
See this article


Fractals 30 (09) (2022)
DOI: 10.1142/S0218348X2250178X
See this article

A modification to the first integral method and its applications

Hong-Zhun Liu
Applied Mathematics and Computation 419 126855 (2022)
DOI: 10.1016/j.amc.2021.126855
See this article

A robust stability criterion on the time-conformable fractional heat equation in a axisymmetric cylinder

R. Temoltzi-Ávila
SeMA Journal (2022)
DOI: 10.1007/s40324-022-00317-x
See this article

Diverse and novel soliton structures of coupled nonlinear Schrödinger type equations through two competent techniques

Md. Tarikul Islam, Md. Ali Akbar, Hijaz Ahmad, Onur Alp Ilhan and Khaled A. Gepreel
Modern Physics Letters B 36 (11) (2022)
DOI: 10.1142/S021798492250004X
See this article

Synchronization in fixed/preassigned-time of delayed fully quaternion-valued memristive neural networks via non-separation method

Jingsha Zhang, Xiaolin Ma, Yongke Li, Qintao Gan and Changlong Wang
Communications in Nonlinear Science and Numerical Simulation 113 106581 (2022)
DOI: 10.1016/j.cnsns.2022.106581
See this article

Soliton solutions in the conformable (2+1)-dimensional chiral nonlinear Schrödinger equation

Behzad Ghanbari, J. F. Gómez-Aguilar and Ahmet Bekir
Journal of Optics 51 (2) 289 (2022)
DOI: 10.1007/s12596-021-00754-3
See this article

Analytical Solutions of Nonlinear Beta Fractional Schrödinger Equation Via Sine-Cosine Method

Volkan Ala and Gaukhar Shaikhova
Lobachevskii Journal of Mathematics 43 (11) 3033 (2022)
DOI: 10.1134/S1995080222140025
See this article

Semi-analytical solutions of three-dimensional (3D) coupled Burgers’ equations by new Laplace variational iteration method

Gurpreet Singh and Inderdeep Singh
Partial Differential Equations in Applied Mathematics 6 100438 (2022)
DOI: 10.1016/j.padiff.2022.100438
See this article

A non-linear study of optical solitons for Kaup-Newell equation without four-wave mixing

Hamood Ur Rehman, Aziz Ullah Awan, Kashif Ali Abro, et al.
Journal of King Saud University - Science 34 (5) 102056 (2022)
DOI: 10.1016/j.jksus.2022.102056
See this article

Regarding on the Results for the Fractional Clannish Random Walker’s Parabolic Equation and the Nonlinear Fractional Cahn-Allen Equation

Md. Nur Alam, Onur Alp İlhan, Md. Sabur Uddin, Md. Abdur Rahim and Eugen Radu
Advances in Mathematical Physics 2022 1 (2022)
DOI: 10.1155/2022/5635514
See this article

Some optical soliton solutions to the generalized (1 + 1)-dimensional perturbed nonlinear Schrödinger equation using two analytical approaches

Kalim U. Tariq, Aly R. Seadawy, Syed T. R. Rizvi and Rizwan Javed
International Journal of Modern Physics B 36 (26) (2022)
DOI: 10.1142/S0217979222501776
See this article

Sundry optical solitons and modulational instability in Sasa-Satsuma model

Mibaile Justin, Vroumsia David, Nur Hasan Mahmud Shahen, et al.
Optical and Quantum Electronics 54 (2) (2022)
DOI: 10.1007/s11082-021-03439-0
See this article

The closed-form soliton solutions of the time-fraction Phi-four and (2+1)-dimensional Calogero–Bogoyavlenskii–Schiff model using the recent approach

M. Al-Amin, M. Nurul Islam and M. Ali Akbar
Partial Differential Equations in Applied Mathematics 5 100374 (2022)
DOI: 10.1016/j.padiff.2022.100374
See this article

Electromagnentic filed and rotation for fractional derivative order calculus with temperature-dependent on reflection of longitudinal wave under initial stress and three-phase-lag model

Fatimah S. Bayones, Araby A. Kilany, Sayed M. Abo-Dahab and Abdelmooty M. Abd-Alla
Waves in Random and Complex Media 1 (2022)
DOI: 10.1080/17455030.2022.2036385
See this article

Remarks on Fractal-Fractional Malkus Waterwheel Model with Computational Analysis

Liliana Guran, Esra Karataş Akgül, Ali Akgül and Monica-Felicia Bota
Symmetry 14 (10) 2220 (2022)
DOI: 10.3390/sym14102220
See this article

A variety of solitons on the oceans exposed by the Kadomtsev Petviashvili-modified equal width equation adopting different techniques

Md. Tarikul Islam, Mst. Armina Akter, Shahariar Ryehan, J.F. Gómez-Aguilar and Md. Ali Akbar
Journal of Ocean Engineering and Science (2022)
DOI: 10.1016/j.joes.2022.07.001
See this article

New-fashioned solitons of coupled nonlinear Maccari systems describing the motion of solitary waves in fluid flow

Tarikul Islam, Ali Akbar, Hadi Rezazadeh and Ahmet Bekir
Journal of Ocean Engineering and Science (2022)
DOI: 10.1016/j.joes.2022.03.003
See this article

Brownian motion effects on analytical solutions of a fractional-space long–short-wave interaction with conformable derivative

Wael W. Mohammed, Naveed Iqbal, Abeer M. Albalahi, et al.
Results in Physics 35 105371 (2022)
DOI: 10.1016/j.rinp.2022.105371
See this article

Multi-waves interaction and optical solitons for Heisenberg models of fractal order

Loubna Ouahid, M. A. Abdou, S. Owyed, A. M. Abdel-Baset and M. Inc
Indian Journal of Physics 96 (10) 2963 (2022)
DOI: 10.1007/s12648-021-02198-8
See this article

New Exact Solutions of Some Important Nonlinear Fractional Partial Differential Equations with Beta Derivative

Erdogan Mehmet Ozkan
Fractal and Fractional 6 (3) 173 (2022)
DOI: 10.3390/fractalfract6030173
See this article

Diverse optical soliton solutions of the fractional coupled (2 + 1)-dimensional nonlinear Schrödinger equations

Md. Tarikul Islam, Md. Ali Akbar and Hijaz Ahmad
Optical and Quantum Electronics 54 (2) (2022)
DOI: 10.1007/s11082-021-03472-z
See this article

Employing Hirota’s bilinear form to find novel lump waves solutions to an important nonlinear model in fluid mechanics

Behzad Ghanbari
Results in Physics 29 104689 (2021)
DOI: 10.1016/j.rinp.2021.104689
See this article

Mild solutions of a fractional partial differential equation with noise

Noureddine Bouteraa, Mustafa Inc, Mehmet Ali Akinlar and Bandar Bin‐Mohsin
Mathematical Methods in the Applied Sciences 44 (7) 5648 (2021)
DOI: 10.1002/mma.7139
See this article

New optical soliton solutions via two distinctive schemes for the DNA Peyrard–Bishop equation in fractal order

Loubna Ouahid, M. A. Abdou, S. Owyed and Sachin Kumar
Modern Physics Letters B 35 (26) 2150444 (2021)
DOI: 10.1142/S0217984921504443
See this article

The M-fractional improved perturbed nonlinear Schrödinger equation: Optical solitons and modulation instability analysis

Eied M. Khalil, T. A. Sulaiman, Abdullahi Yusuf and Mustafa Inc
International Journal of Modern Physics B 35 (08) 2150121 (2021)
DOI: 10.1142/S0217979221501216
See this article

New Exact Traveling Wave Solutions of the Time Fractional Complex Ginzburg-Landau Equation via the Conformable Fractional Derivative

Zhao Li, Tianyong Han and Ming Mei
Advances in Mathematical Physics 2021 1 (2021)
DOI: 10.1155/2021/8887512
See this article

Plenty of soliton solutions to the DNA Peyrard-Bishop equation via two distinctive strategies

Loubna Ouahid
Physica Scripta 96 (3) 035224 (2021)
DOI: 10.1088/1402-4896/abdc57
See this article

An Analytical Technique Implemented in the Fractional Clannish Random Walker’s Parabolic Equation with Nonlinear Physical Phenomena

Md. Nur Alam, Imran Talib, Omar Bazighifan, Dimplekumar N. Chalishajar and Barakah Almarri
Mathematics 9 (8) 801 (2021)
DOI: 10.3390/math9080801
See this article

The Chebyshev collocation method for a class of time fractional convection‐diffusion equation with variable coefficients

Vijay Saw and Sushil Kumar
Mathematical Methods in the Applied Sciences 44 (8) 6666 (2021)
DOI: 10.1002/mma.7215
See this article

Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge : A study of fractional calculus on metric graph

Vaibhav Mehandiratta, Mani Mehra and Günter Leugering
Networks & Heterogeneous Media 16 (2) 155 (2021)
DOI: 10.3934/nhm.2021003
See this article

The unified technique for the nonlinear time-fractional model with the beta-derivative

Hijaz Ahmad, Md. Nur Alam, Md. Abdur Rahim, Maged F Alotaibi and Mohamed Omri
Results in Physics 29 104785 (2021)
DOI: 10.1016/j.rinp.2021.104785
See this article

Abundant new computational wave solutions of the GM-DP-CH equation via two modified recent computational schemes

Mostafa M. A. Khater, Mustafa Inc, Raghda A. M. Attia, Dianchen Lu and Bandar Almohsen
Journal of Taibah University for Science 14 (1) 1554 (2020)
DOI: 10.1080/16583655.2020.1838137
See this article

Novel exact solutions of the fractional Bogoyavlensky–Konopelchenko equation involving the Atangana-Baleanu-Riemann derivative

Mostafa M.A. Khater, Behzad Ghanbari, Kottakkaran Sooppy Nisar and Devendra Kumar
Alexandria Engineering Journal 59 (5) 2957 (2020)
DOI: 10.1016/j.aej.2020.03.032
See this article

On solution of fractional partial differential equation by the weighted fractional operator

Mine Aylin Bayrak, Ali Demir and Ebru Ozbilge
Alexandria Engineering Journal 59 (6) 4805 (2020)
DOI: 10.1016/j.aej.2020.08.044
See this article

Applicability of time conformable derivative to Wick-fractional-stochastic PDEs

Zeliha Korpinar, Fairouz Tchier, Mustafa Inc, et al.
Alexandria Engineering Journal 59 (3) 1485 (2020)
DOI: 10.1016/j.aej.2020.05.001
See this article

Multi-solitary wave solutions to the general time fractional Sharma–Tasso–Olver equation and the time fractional Cahn–Allen equation

M. Hafiz Uddin, Md. Ashrafuzzaman Khan, M. Ali Akbar and Md. Abdul Haque
Arab Journal of Basic and Applied Sciences 26 (1) 193 (2019)
DOI: 10.1080/25765299.2019.1599207
See this article

Approximate method for solving strongly fractional nonlinear problems using fuzzy transform

Mohamad Adabitabar Firozja and Bahram Agheli
Nonlinear Engineering 9 (1) 72 (2019)
DOI: 10.1515/nleng-2018-0123
See this article

N-Solitons, kink and periodic wave solutions for (3 + 1)-dimensional Hirota bilinear equation using three distinct techniques

S.M. Mabrouk and A.S. Rashed
Chinese Journal of Physics 60 48 (2019)
DOI: 10.1016/j.cjph.2019.02.032
See this article

A Continuous Time Bertrand Duopoly Game With Fractional Delay and Conformable Derivative: Modeling, Discretization Process, Hopf Bifurcation, and Chaos

Baogui Xin, Wei Peng and Luca Guerrini
Frontiers in Physics 7 (2019)
DOI: 10.3389/fphy.2019.00084
See this article

Comparative study of homotopy perturbation transformation with homotopy perturbation Elzaki transform method for solving nonlinear fractional PDE

Prince Singh and Dinkar Sharma
Nonlinear Engineering 9 (1) 60 (2019)
DOI: 10.1515/nleng-2018-0136
See this article

Some Applications of the (G′/G,1/G)-Expansion Method for Finding Exact Traveling Wave Solutions of Nonlinear Fractional Evolution Equations

Sekson Sirisubtawee, Sanoe Koonprasert and Surattana Sungnul
Symmetry 11 (8) 952 (2019)
DOI: 10.3390/sym11080952
See this article

Modified Auxiliary Equation Method versus Three Nonlinear Fractional Biological Models in Present Explicit Wave Solutions

Mostafa Khater, Raghda Attia and Dianchen Lu
Mathematical and Computational Applications 24 (1) 1 (2018)
DOI: 10.3390/mca24010001
See this article

Numerical patterns in reaction–diffusion system with the Caputo and Atangana–Baleanu fractional derivatives

Kolade M. Owolabi
Chaos, Solitons & Fractals 115 160 (2018)
DOI: 10.1016/j.chaos.2018.08.025
See this article