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On the solution of the fractional nonlinear Schrödinger equation |
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| Authors: | S.Z. Rida H.M. El-Sherbiny |
| Affiliation: | a Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt b Department of Mathematics, Faculty of Education, Suez Canal University, Suez, Egypt |
| Abstract: | We present the nonlinear Schrödinger (NLS) equation of fractional order. The fractional derivatives are described in the Caputo sense. The Adomian decomposition method (ADM) in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions for different types of fractional differential equations. In these schemes, the solution constructed in power series with easily computable components. |
| Keywords: | The decomposition method NLS equation Numerical solution Fractional calculus |
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