An Efficient Method for Time-Fractional Coupled Schrödinger System | Zendy

Hossein Aminikhah | Zendy; A. H. Refahi Sheikhani | Zendy; Hadi Rezazadeh | Zendy

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An Efficient Method for Time-Fractional Coupled Schrödinger System

Author(s) -

Hossein Aminikhah,

A. H. Refahi Sheikhani,

Hadi Rezazadeh

Publication year - 2014

Publication title -

international journal of partial differential equations

Language(s) - English

Resource type - Journals

eISSN - 2356-7082

pISSN - 2314-6524

DOI - 10.1155/2014/137470

Subject(s) - laplace transform , fractional calculus , mathematics , homotopy perturbation method , reliability (semiconductor) , scheme (mathematics) , simple (philosophy) , homotopy analysis method , laplace transform applied to differential equations , mathematical analysis , homotopy , power (physics) , physics , pure mathematics , quantum mechanics , philosophy , epistemology

We present a new technique to obtain the solution of time-fractional coupled Schrödinger system. The fractional derivatives are considered in Caputo sense. The proposed scheme is based on Laplace transform and new homotopy perturbation method. To illustrate the power and reliability of the method some examples are provided. The results obtained by the proposed method show that the approach is very efficient and simple and can be applied to other partial differential equations

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