On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2)‎

Joint Authors

Matar, Mohammed M.
Abu Skhail, Esmail S.

Source

Journal of Mathematics

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-08-05

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

We study the Mittag-Leffler and class-K function stability of fractional differential equations with order α∈(1,2).

We also investigate the comparison between two systems with Caputo and Riemann-Liouville derivatives.

Two examples related to fractional-order Hopfield neural networks with constant external inputs and a marine protected area model are introduced to illustrate the applicability of stability results.

American Psychological Association (APA)

Matar, Mohammed M.& Abu Skhail, Esmail S.. 2018. On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2). Journal of Mathematics،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1193546

Modern Language Association (MLA)

Matar, Mohammed M.& Abu Skhail, Esmail S.. On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2). Journal of Mathematics No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1193546

American Medical Association (AMA)

Matar, Mohammed M.& Abu Skhail, Esmail S.. On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2). Journal of Mathematics. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1193546

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1193546