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Waves in Random and Complex Media Volume 29, 2019 - Issue 4
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Articles

Some exact solutions of the nonlinear space–time fractional differential equations

Syed Tauseef Mohyud-DinCenter for Research (CFR), University of Islamabad (UoI), Islamabad, Pakistan
,
Sadaf BibiDepartment of Mathematics, Faculty of Sciences, HITEC University, Taxila, Pakistan
,
Naveed AhmedDepartment of Mathematics, Faculty of Sciences, HITEC University, Taxila, Pakistan
&
Umar KhanDepartment of Mathematics, COMSATS Institute of Information Technology, Abbottabad, PakistanCorrespondence[email protected]
Pages 645-664 | Received 28 Sep 2017, Accepted 02 Apr 2018, Published online: 27 Apr 2018

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Rami Ahmad El-Nabulsi. (2021) Nonlinear wave equations from a non-local complex backward–forward derivative operator. Waves in Random and Complex Media 31:6, pages 1433-1442.
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Saima Arshed, Nauman Raza & Monairah Alansari. (2021) Soliton solutions of the generalized Davey-Stewartson equation with full nonlinearities via three integrating schemes. Ain Shams Engineering Journal 12:3, pages 3091-3098.
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Onur Alp Ilhan, M. Nurul Islam & M. Ali Akbar. (2020) Construction of Functional Closed Form Wave Solutions to the ZKBBM Equation and the Schrödinger Equation. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering 45:3, pages 827-840.
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Damin Cao, Wei Xu & Fajiang He. (2021) The wave patterns to the time-space fractional Casimir equation for the Ito system. Modern Physics Letters B 35:23, pages 2150396.
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Sevil Çulha Ünal & Ayşegül Daşcıoğlu. (2021) Exact solutions of time fractional Korteweg–de Vries–Zakharov–Kuznetsov equation. Mathematical Methods in the Applied Sciences 44:11, pages 9557-9570.
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Ziting Liu & Qi Wang. (2020) A non‐standard finite difference method for space fractional advection–diffusion equation. Numerical Methods for Partial Differential Equations 37:3, pages 2527-2539.
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Na An. (2020) Superconvergence of a finite element method for the time-fractional diffusion equation with a time-space dependent diffusivity. Advances in Difference Equations 2020:1.
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Damin Cao, Cheng Li & Fajiang He. (2020) Exact solutions to the space-time fraction Whitham–Broer–Kaup equation. Modern Physics Letters B, pages 2050178.
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Ali Akgül, Alicia Cordero & Juan Ramon Torregrosa. (2019) Solutions of fractional gas dynamics equation by a new technique. Mathematical Methods in the Applied Sciences 43:3, pages 1349-1358.
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Sadaf Bibi, Naveed Ahmed, Imran Faisal, Syed Tauseef Mohyud-Din, Muhammad Rafiq & Umar Khan. (2019) Some new solutions of the Caudrey–Dodd–Gibbon (CDG) equation using the conformable derivative. Advances in Difference Equations 2019:1.
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H. Rezazadeh, S. M. Mirhosseini-Alizamini, A. Neirameh, A. Souleymanou, A. Korkmaz & Ahmet Bekir. (2019) Fractional Sine–Gordon Equation Approach to the Coupled Higgs System Defined in Time-Fractional Form. Iranian Journal of Science and Technology, Transactions A: Science 43:6, pages 2965-2973.
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Yanwei Dai, Yinghua Liu, Fei Qin, Yuh J. Chao & Haofeng Chen. (2019) Constraint modified time dependent failure assessment diagram (TDFAD) based on C(t)-A2(t) theory for creep crack. International Journal of Mechanical Sciences, pages 105193.
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Bikramjeet Kaur & R. K. Gupta. (2019) Dispersion analysis and improved F-expansion method for space–time fractional differential equations. Nonlinear Dynamics 96:2, pages 837-852.
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