On the Stability of Fractional Differential Equations Involving Generalized Caputo Fractional Derivative

On the Stability of Fractional Differential Equations Involving Generalized Caputo Fractional Derivative

This work presents the results of the global existence for fractional differential equations involving generalized Caputo derivative with the case of the fractional order derivative α∈1,2. In addition, the Ulam–Hyers–Mittag-Leffler stability of the given problems is also established.

Bibliographic Details
Main Authors: Minh Duc Tran, Vu Ho, Hoa Ngo Van
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/1680761
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spelling doaj-9dc8c6b387e04f689f8ba02b729017002020-11-25T00:15:36ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/16807611680761On the Stability of Fractional Differential Equations Involving Generalized Caputo Fractional DerivativeMinh Duc Tran0Vu Ho1Hoa Ngo Van2Faculty of Electrical Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, VietnamFaculty of Mathematical Economics, Banking University of Ho Chi Minh City, VietnamDivision of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, VietnamThis work presents the results of the global existence for fractional differential equations involving generalized Caputo derivative with the case of the fractional order derivative α∈1,2. In addition, the Ulam–Hyers–Mittag-Leffler stability of the given problems is also established.http://dx.doi.org/10.1155/2020/1680761
collection DOAJ
language English
format Article
sources DOAJ
author Minh Duc Tran
Vu Ho
Hoa Ngo Van
spellingShingle Minh Duc Tran
Vu Ho
Hoa Ngo Van
On the Stability of Fractional Differential Equations Involving Generalized Caputo Fractional Derivative
Mathematical Problems in Engineering
author_facet Minh Duc Tran
Vu Ho
Hoa Ngo Van
author_sort Minh Duc Tran
title On the Stability of Fractional Differential Equations Involving Generalized Caputo Fractional Derivative
title_short On the Stability of Fractional Differential Equations Involving Generalized Caputo Fractional Derivative
title_full On the Stability of Fractional Differential Equations Involving Generalized Caputo Fractional Derivative
title_fullStr On the Stability of Fractional Differential Equations Involving Generalized Caputo Fractional Derivative
title_full_unstemmed On the Stability of Fractional Differential Equations Involving Generalized Caputo Fractional Derivative
title_sort on the stability of fractional differential equations involving generalized caputo fractional derivative
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description This work presents the results of the global existence for fractional differential equations involving generalized Caputo derivative with the case of the fractional order derivative α∈1,2. In addition, the Ulam–Hyers–Mittag-Leffler stability of the given problems is also established.
url http://dx.doi.org/10.1155/2020/1680761
work_keys_str_mv AT minhductran onthestabilityoffractionaldifferentialequationsinvolvinggeneralizedcaputofractionalderivative
AT vuho onthestabilityoffractionaldifferentialequationsinvolvinggeneralizedcaputofractionalderivative
AT hoangovan onthestabilityoffractionaldifferentialequationsinvolvinggeneralizedcaputofractionalderivative
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