2021
DOI: 10.1007/s40995-021-01076-6
|View full text |Cite
|
Sign up to set email alerts
|

Existence and Stability Analysis of Solution for Mathieu Fractional Differential Equations with Applications on Some Physical Phenomena

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1

Citation Types

0
8
0

Year Published

2022
2022
2023
2023

Publication Types

Select...
7

Relationship

2
5

Authors

Journals

citations
Cited by 14 publications
(8 citation statements)
references
References 31 publications
0
8
0
Order By: Relevance
“…The asymptotic stability analysis of nonlinear discrete fractional equations were studied by Fulai Chen in [36,41]. Several authors have contributed on the stability analysis of various applications of fractional order discrete time equations as in [6,[42][43][44][45][46][47]. We devote this section to study the stability of the HDFGHPE (6).…”
Section: Existence Results For Hdfghpe (6)mentioning
confidence: 99%
“…The asymptotic stability analysis of nonlinear discrete fractional equations were studied by Fulai Chen in [36,41]. Several authors have contributed on the stability analysis of various applications of fractional order discrete time equations as in [6,[42][43][44][45][46][47]. We devote this section to study the stability of the HDFGHPE (6).…”
Section: Existence Results For Hdfghpe (6)mentioning
confidence: 99%
“…Initially, the subject of modeling real‐life problems with differential equations of real or complex order was not popular among the engineers and scientific research community. After the development of the super computers and advancement in technology to perform higher level simulations, the study of fractional calculus has been a field of attraction and is applied in several fields of research like physics, circuit theory, chemistry, geology, biology, and sociology 1–11 . Existence results for nonlinear integral equations was presented in Deep et al 12 and Chauhan et al 13 and qualitative analysis of fractional order equations with delay was carried out in Tunc and Tunc 14 .…”
Section: Introductionmentioning
confidence: 99%
“…several fields of research like physics, circuit theory, chemistry, geology, biology, and sociology. [1][2][3][4][5][6][7][8][9][10][11] Existence results for nonlinear integral equations was presented in Deep et al 12 and Chauhan et al 13 and qualitative analysis of fractional order equations with delay was carried out in Tunc and Tunc. 14 Delay integro-differential equations with proportional fractional order Caputo type derivative was considered and solution was estimated in Tunc and Tunc.…”
mentioning
confidence: 99%
“…the physical sciences [21][22][23][24][25][26][27][28][29][30][31]. In 1868, Émile Léonard Mathieu introduced for the fist time the second-order differential equation and had encountered them while studying vibrating elliptical drumheads, of the form…”
Section: Introductionmentioning
confidence: 99%