Analytic solutions of the space–time conformable fractional Klein–Gordon equation in general form

DOI10.1080/17455030.2018.1473661zbMath1505.35348OpenAlexW2803219741MaRDI QIDQ5104279

Sevil Çulha, Ayşegül Daşcıoğlu

Publication date: 9 September 2022

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2018.1473661

zbMATH Keywords

Klein-Gordon equationexact solutionsJacobi elliptic functionstime and space fractional equations

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)

Related Items (5)

New exact solutions for the space-time fractional Kawahara equation ⋮ Fractional Klein-Gordon equation with singular mass ⋮ New exact solutions of space and time fractional modified Kawahara equation ⋮ Nonlinear wave equations from a non-local complex backward–forward derivative operator ⋮ Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods

Cites Work

• Unnamed Item
• Unnamed Item
• On the solutions of nonlinear fractional Klein-Gordon equation with modified Riemann-Liouville derivative
• The first integral method for some time fractional differential equations
• Spectral methods using Legendre wavelets for nonlinear Klein/sine-Gordon equations
• Solution of nonlinear space-time fractional differential equations using the fractional Riccati expansion method
• A new approach to numerical solution of nonlinear Klein-Gordon equation
• On conformable fractional calculus
• On nonlinear fractional Klein-Gordon equation
• Application of homotopy-perturbation method to Klein-Gordon and sine-Gordon equations
• The variational iteration method for studying the Klein-Gordon equation
• The decomposition method for studying the Klein-Gordon equation
• An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations
• Solving the fractional nonlinear Klein-Gordon equation by means of the homotopy analysis method
• Numerical solution of time fractional nonlinear Klein-Gordon equation using sinc-Chebyshev collocation method
• A numerical solution of the Klein-Gordon equation and convergence of the decomposition method
• Fractional subequation method for Cahn-Hilliard and Klein-Gordon equations
• Compact difference scheme for a class of fractional-in-space nonlinear damped wave equations in two space dimensions
• A new definition of fractional derivative
• Compactons, solitons and periodic solutions for some forms of nonlinear Klein--Gordon equations
• Numerical solution of non-linear Klein–Gordon equations by variational iteration method
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
• New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
• The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

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