17 research outputs found
Infinitely many positive solutions of fractional nonlinear Schrödinger equations with non-symmetric potentials
No full textMultiplicity and asymptotic behavior of solutions to a class of Kirchhoff-type equations involving the fractional p-Laplacian
No full textA new Jacobi spectral collocation method for solving 1+1 fractional Schrödinger equations and fractional coupled Schrödinger systems
No full textThe Jacobi spectral collocation method (JSCM) is constructed and used in combination with the operational matrix of fractional derivatives (described in the Caputo sense) for the numerical solution of the time-fractional Schrödinger equation (T-FSE) and the space-fractional Schrödinger equation (S-FSE). The main characteristic behind this approach is that it reduces such problems to those of solving a system of algebraic equations, which greatly simplifies the solution process. In addition, the presented approach is also applied to solve the time-fractional coupled Schrödinger system (T-FCSS). In order to demonstrate the validity and accuracy of the numerical scheme proposed, several numerical examples with their approximate solutions are presented with comparisons between our numerical results and those obtained by other methods
Efficient Utilization of Greenhouse Gases in a Gas-to-Liquids Process Combined with CO 2
No full textVector solutions with clustered peaks for nonlinear fractional Schrödinger systems in R N
No full textThe sharp exponent in the study of the nonlocal Hénon equation in : a Liouville theorem and an existence result
No full textNormalized solutions to the fractional Schrödinger equations with combined nonlinearities
No full textMultiple Solutions for a Class of Nonhomogeneous Fractional Schrödinger Equations in R N
No full textSemilinear integro-differential equations, II: one-dimensional and saddle-shaped solutions to the Allen-Cahn equation
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