Analysis on a nonlinear fractional differential equations in a bounded domain [1,T]

Muath Awadalla; K. Buvaneswari; P. Karthikeyan; Mohamed Hannabou; K. Karthikeyan; Feryal AlAdsani; Jihan Alahmadi

doi:10.1007/s12190-024-01998-5

Analysis on a nonlinear fractional differential equations in a bounded domain [1,T]

Muath Awadalla, K. Buvaneswari, P. Karthikeyan, Mohamed Hannabou, K. Karthikeyan, Feryal AlAdsani, Jihan Alahmadi

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this manuscript, based on the most widespread fixed point theories in literature. The existence of solutions to the system of nonlinear fractional differential equations with Caputo Hadmard fractional operator in a bounded domain is verified by using Mönoch’s fixed point theorem, The stability of the coupled system is also investigated via Ulam-Hyer technique. Finally, an applied numerical example is presented to illustrate the theoretical results obtained.

Original language	English
Pages (from-to)	1275-1293
Number of pages	19
Journal	Journal of Applied Mathematics and Computing
Volume	70
Issue number	2
DOIs	https://doi.org/10.1007/s12190-024-01998-5
State	Published - Apr 2024

Keywords

26A33
34B15
34B18
Caputo–Hadamard fractional derivative
Existence
Fixed point
Fractional derivative

Access to Document

10.1007/s12190-024-01998-5

Cite this

@article{7d58b96ce6b447be998b4f9205aa4269,

title = "Analysis on a nonlinear fractional differential equations in a bounded domain [1,T]",

abstract = "In this manuscript, based on the most widespread fixed point theories in literature. The existence of solutions to the system of nonlinear fractional differential equations with Caputo Hadmard fractional operator in a bounded domain is verified by using M{\"o}noch{\textquoteright}s fixed point theorem, The stability of the coupled system is also investigated via Ulam-Hyer technique. Finally, an applied numerical example is presented to illustrate the theoretical results obtained.",

keywords = "26A33, 34B15, 34B18, Caputo–Hadamard fractional derivative, Existence, Fixed point, Fractional derivative",

author = "Muath Awadalla and K. Buvaneswari and P. Karthikeyan and Mohamed Hannabou and K. Karthikeyan and Feryal AlAdsani and Jihan Alahmadi",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",

year = "2024",

month = apr,

doi = "10.1007/s12190-024-01998-5",

language = "English",

volume = "70",

pages = "1275--1293",

journal = "Journal of Applied Mathematics and Computing",

issn = "1598-5865",

publisher = "Springer Nature",

number = "2",

}

TY - JOUR

T1 - Analysis on a nonlinear fractional differential equations in a bounded domain [1,T]

AU - Awadalla, Muath

AU - Buvaneswari, K.

AU - Karthikeyan, P.

AU - Hannabou, Mohamed

AU - Karthikeyan, K.

AU - AlAdsani, Feryal

AU - Alahmadi, Jihan

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/4

Y1 - 2024/4

N2 - In this manuscript, based on the most widespread fixed point theories in literature. The existence of solutions to the system of nonlinear fractional differential equations with Caputo Hadmard fractional operator in a bounded domain is verified by using Mönoch’s fixed point theorem, The stability of the coupled system is also investigated via Ulam-Hyer technique. Finally, an applied numerical example is presented to illustrate the theoretical results obtained.

AB - In this manuscript, based on the most widespread fixed point theories in literature. The existence of solutions to the system of nonlinear fractional differential equations with Caputo Hadmard fractional operator in a bounded domain is verified by using Mönoch’s fixed point theorem, The stability of the coupled system is also investigated via Ulam-Hyer technique. Finally, an applied numerical example is presented to illustrate the theoretical results obtained.

KW - 26A33

KW - 34B15

KW - 34B18

KW - Caputo–Hadamard fractional derivative

KW - Existence

KW - Fixed point

KW - Fractional derivative

UR - http://www.scopus.com/inward/record.url?scp=85185303186&partnerID=8YFLogxK

U2 - 10.1007/s12190-024-01998-5

DO - 10.1007/s12190-024-01998-5

M3 - Article

AN - SCOPUS:85185303186

SN - 1598-5865

VL - 70

SP - 1275

EP - 1293

JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

IS - 2

ER -

Analysis on a nonlinear fractional differential equations in a bounded domain [1,T]

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this