First integral method for non-linear differential equations with conformable derivative
Math. Model. Nat. Phenom., 13 1 (2018) 14
Published online: 2018-02-26
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 DinResults 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 YaşarOptical 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 NadeemAdvances 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 KörpınarWaves 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 VetroJournal 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. AlqahtaniChaos, 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 JavedMathematical 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 AlharthiResults 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 DinResults 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 DinResults 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 ALAFundamentals 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 JavedChaos, 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 SirisubtaweeWSEAS TRANSACTIONS ON MATHEMATICS 22 432 (2023)
DOI: 10.37394/23206.2023.22.50
See this article
CONFORMABLE DERIVATIVES IN VISCOUS FLOW DESCRIBING FLUID THROUGH POROUS MEDIUM WITH VARIABLE PERMEABILITY
M. SANTOS-MORENO, C. V. VALENCIA-NEGRETE and G. FERNÁNDEZ-ANAYAFractals 30 (09) (2022)
DOI: 10.1142/S0218348X2250178X
See this article
A modification to the first integral method and its applications
Hong-Zhun LiuApplied 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-ÁvilaSeMA 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. GepreelModern 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 WangCommunications 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 BekirJournal 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 ShaikhovaLobachevskii 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 SinghPartial 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 RaduAdvances 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 JavedInternational 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 AkbarPartial 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-AllaWaves 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 BotaSymmetry 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 AkbarJournal 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 BekirJournal 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. IncIndian 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 OzkanFractal 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 AhmadOptical 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 GhanbariResults 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‐MohsinMathematical 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 KumarModern 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 IncInternational 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 MeiAdvances 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 OuahidPhysica 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 AlmarriMathematics 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 KumarMathematical 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 LeugeringNetworks & 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 OmriResults 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 AlmohsenJournal 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 KumarAlexandria 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 OzbilgeAlexandria 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 HaqueArab 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 AgheliNonlinear 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. RashedChinese 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 GuerriniFrontiers 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 SharmaNonlinear 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 SungnulSymmetry 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 LuMathematical 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. OwolabiChaos, Solitons & Fractals 115 160 (2018)
DOI: 10.1016/j.chaos.2018.08.025
See this article