A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations
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DOI: 10.1007/s11075-017-0385-y
Abstract: We consider difference schemes for nonlinear time fractional Klein-Gordon type equations in this paper. A linearized scheme is proposed to solve the problem. As a result, iterative method need not be employed. One of the… read more here.
Keywords: gordon type; time fractional; time; fractional klein ... See more keywords
A linearized high-order Galerkin finite element approach for two-dimensional nonlinear time fractional Klein-Gordon equations
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DOI: 10.1007/s11075-020-00978-7
Abstract: In this paper, we propose a linearized finite element method for solving two-dimensional fractional Klein-Gordon equations with a cubic nonlinear term. The employed time discretization is a weighted combination of the L2 − 1σ formula… read more here.
Keywords: finite element; fractional klein; time; klein gordon ... See more keywords
Linear implicit finite difference methods with energy conservation property for space fractional Klein-Gordon-Zakharov system
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DOI: 10.1016/j.apnum.2021.05.016
Abstract: Abstract In this article, novel linearized implicit difference schemes with energy conservation property for fractional Klein-Gordon-Zakharov system are constructed and analyzed. The important feature of the article is that new auxiliary equations ∂ u ∂… read more here.
Keywords: system; fractional klein; energy conservation; energy ... See more keywords
Positive ground state solutions for quasicritical the fractional Klein–Gordon–Maxwell system with potential vanishing at infinity
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DOI: 10.1080/17476933.2018.1434625
Abstract: ABSTRACT This paper deals with the fractional Klein–Gordon–Maxwell system when the nonlinearity has a quasicritical growth at infinity, where V(x) is bounded or involving zero mass potential, that is, when , as . The interaction… read more here.
Keywords: fractional klein; klein gordon; maxwell system; ground state ... See more keywords
Conformable fractional derivative and its application to fractional Klein-Gordon equation
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DOI: 10.2298/tsci181011259w
Abstract: This paper adopts conformable fractional derivative to describe the fractional Klein-Gordon equations. The conformable fractional derivative is a new simple well-behaved definition. The fractional complex transform and variational iteration method are used to solve the… read more here.
Keywords: conformable fractional; fractional klein; klein gordon; fractional derivative ... See more keywords
Non-differentiable exact solutions of the local fractional Klein-Fock-Gordon equation on cantor sets
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DOI: 10.2298/tsci2302653c
Abstract: Based on the local fractional derivative, a new local fractional Klein-Fock-Gordon equation is derived in this paper for the first time. A simple method namely Yang?s special function method is used to seek for the… read more here.
Keywords: differentiable exact; local fractional; klein fock; non differentiable ... See more keywords