Application of fixed point theorem for stability analysis of a nonlinear Schrodinger with Caputo-Liouville derivative | Zendy

Abdon Atangana | Zendy; Dumitru Băleanu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Application of fixed point theorem for stability analysis of a nonlinear Schrodinger with Caputo-Liouville derivative

Author(s) -

Abdon Atangana,

Dumitru Băleanu

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1708243a

Subject(s) - mathematics , uniqueness , fixed point theorem , connection (principal bundle) , fractional calculus , derivative (finance) , nonlinear system , stability (learning theory) , order (exchange) , mathematical analysis , scheme (mathematics) , fixed point , geometry , quantum mechanics , physics , finance , machine learning , computer science , financial economics , economics

Using the new Caputo-Fabrizio derivative with fractional order, we have modified the nonlinear Schrodinger 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 stabilised the stability of the iteration scheme using the fixed point theorem. We have in addition presented in detail the uniqueness of the special solution.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research