Application of Fixed Point Theorem for Stability Analysis of a Nonlinear Schrodinger with Caputo-Liouville Derivative

作者：Atangana Abdon^*; Baleanu Dumitru

来源：Filomat, 2017, 31(8): 2243-2248.

DOI：10.2298/FIL1708243A

• Caputo-Liouville derivative with fractional order
• nonlinear Schrodinger equation
• fixed point theorem
• uniqueness

Using the new Caputo-Liouville derivative with fractional order, we have modified the nonlinear Schrdinger equation. We have shown some useful in connection of the new derivative with fractional order. We used an iterative approach to derive an approximate solution of the modified equation. We have established the stability of the iteration scheme using the fixed point theorem. We have in addition presented in detail the uniqueness of the special solution.

• 出版日期2017