Applications of two reliable methods for solving a nonlinear conformable time-fractional equation
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DOI: 10.1007/s11082-017-1151-z
Abstract: The current work presents analytical solutions of a nonlinear conformable time-fractional equation by using two different techniques. These are the modified simple equation method and the exponential rational function method. Based on the conformable fractional… read more here.
Keywords: time fractional; nonlinear conformable; conformable time; fractional equation ... See more keywords
Traveling wave solutions for time-fractional K ( m , n ) equation
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DOI: 10.1016/j.ijleo.2017.06.032
Abstract: Abstract In this paper, we obtain traveling wave solutions for time-fractional equations. The homotopy perturbation method is used to obtain these solutions. It is shown that, these solutions have continuity dependence on the time fractional… read more here.
Keywords: solutions time; wave solutions; time fractional; time ... See more keywords
Existence of solutions for a fractional equation in an unbounded domain
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DOI: 10.1063/1.5121762
Abstract: This paper focuses on the scalar field equation Dx2αu−νu−uyy=f(u), where α ∈ (0, 1), (x,y)∈RN×(−L,L)⊂RN+1, with N ≥ 1 and Dx2α stands for the fractional Laplacian. By using several variational methods, we establish the existence,… read more here.
Keywords: unbounded domain; solutions fractional; existence solutions; fractional equation ... See more keywords