One Numerical Simulation for the Variable Order Fractional  Schrodinger Equation with the Quantum Riesz-Feller Derivative

Rasolomampiandry Gilbert; Randimbindrainibe Falimanana

One Numerical Simulation for the Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative

October 2020

Vol-6, Issue-5

Paper ID: 12862

ISSN: 2395-4396

Downloads: 0

Abstract & Details

Research Area

Mathematics

Keywords

Fractional Schrodinger equation quantum Riesz-Feller definition right-shifted formula of Grunwald-Letnikov Crank–Nicholson method

Abstract

In this paper the space variable-order fractional Schrodinger equation is studied numerically, where the variable-order fractional derivative is described here in the sense of the quantum Riesz-Feller definition. The proposed numerical method is analogue of the Crank–Nicholson method and right-shifted formula of Grunwald-Letnikov

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Author Information

#	Name	Institute / Affiliation
1	Rasolomampiandry Gilbert	Ecole Supérieure Polytechnique Anatananarivo Madagascar
2	Randimbindrainibe Falimanana	Ecole Supérieure Polytechnique Anatananarivo Madagascar

How to Cite

Use the following formats to cite this article in your research.

APA Style

Gilbert, Rasolomampiandry & Falimanana, Randimbindrainibe (2020). One Numerical Simulation for the Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative. International Journal of Advance Research and Innovative Ideas In Education, 6(5), 1429-1443.

MLA Style

Gilbert, Rasolomampiandry, and Randimbindrainibe Falimanana. "One Numerical Simulation for the Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative." International Journal of Advance Research and Innovative Ideas In Education, vol. 6, no. 5, 2020, pp. 1429-1443.

IEEE Style

Rasolomampiandry Gilbert and Randimbindrainibe Falimanana, "One Numerical Simulation for the Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative," International Journal of Advance Research and Innovative Ideas In Education, vol. 6, no. 5, pp. 1429-1443, 2020.

Vancouver Style

Gilbert Rasolomampiandry, Falimanana Randimbindrainibe. One Numerical Simulation for the Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative. International Journal of Advance Research and Innovative Ideas In Education. 2020;6(5):1429-1443.

Harvard Style

Gilbert, Rasolomampiandry & Falimanana, Randimbindrainibe (2020) 'One Numerical Simulation for the Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative', International Journal of Advance Research and Innovative Ideas In Education, 6(5), pp. 1429-1443.

Chicago Style

Gilbert, Rasolomampiandry and Randimbindrainibe Falimanana. "One Numerical Simulation for the Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative." International Journal of Advance Research and Innovative Ideas In Education 6, no. 5 (2020): 1429-1443.

Turabian Style

Gilbert, Rasolomampiandry and Randimbindrainibe Falimanana. "One Numerical Simulation for the Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative." International Journal of Advance Research and Innovative Ideas In Education 6, no. 5 (2020): 1429-1443.