Asymptotic behavior of solutions to space‐time fractional diffusion‐reaction equations
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DOI: 10.1002/mma.4033
Abstract: This article discusses the analyticity and the long-time asymptotic behavior of solutions to space-time fractional diffusion equations in R d . By a Laplace transform argument, we prove that the decay rate of the solution… read more here.
Keywords: asymptotic behavior; solutions space; time fractional; space time ... See more keywords
Exact solutions to the space–time fractional Schrödinger–Hirota equation and the space–time modified KDV–Zakharov–Kuznetsov equation
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DOI: 10.1007/s11082-017-1112-6
Abstract: In this paper, the first integral method and the functional variable method are used to establish exact traveling wave solutions of the space–time fractional Schrödinger–Hirota equation and the space–time fractional modified KDV–Zakharov–Kuznetsov equation in the… read more here.
Keywords: space; solutions space; time fractional; space time ... See more keywords
Dark, singular, bright, rational and periodic solutions of the space–time fractional Fokas–Lenells equation by the Φ6-model expansion method
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DOI: 10.1016/j.ijleo.2020.165843
Abstract: Abstract In this paper, new analytical solutions for the space–time fractional Fokas-Lenells equation with the conformable derivative of order r and s are obtained by the aid of Φ 6 -model expansion method with fractional… read more here.
Keywords: solutions space; fractional fokas; time fractional; space time ... See more keywords
Optical soliton solutions for a space-time fractional perturbed nonlinear Schrödinger equation arising in quantum physics
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DOI: 10.1016/j.rinp.2019.102895
Abstract: Abstract Based on the work of Atangana-Baleanu [Open Math. 13 1 (2015)] we obtain new solutions of space-time fractional nonlinear Schrodinger equation, where G ' G 2 -expansion and generalised Kurdyashov methods are suggested. The… read more here.
Keywords: solutions space; time fractional; space time; physics ... See more keywords
New exact solutions of the space-time fractional KDV burgers and nonlinear fractional foam drainage equation
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DOI: 10.2298/tsci170615267c
Abstract: The fractional differential equations have been studied by many authors and some effective methods for fractional calculus were appeared in literature, such as the fractional sub-equation method and the first integral method. The fractional complex… read more here.
Keywords: solutions space; space time; differential equations; equation ... See more keywords