EconPapers    
Economics at your fingertips  
 

EXISTENCE AND STABILITY RESULTS OF FRACTIONAL DIFFERENTIAL EQUATIONS MITTAG-LEFFLER KERNEL

Ahsan Abbas (), Nayyar Mehmood (), AKGÜL Ali, Inas Amacha and Thabet Abdeljawad
Additional contact information
Ahsan Abbas: Department of Mathematics and Statistics, International Islamic University, Sector H-10, Islamabad, Pakistan
Nayyar Mehmood: Department of Mathematics and Statistics, International Islamic University, Sector H-10, Islamabad, Pakistan
AKGÜL Ali: Department of Mathematics, Siirt University, Art and Science Faculty, TR-56100 Siirt, Turkey3Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
Inas Amacha: Department of Medical Research, China Medical University, Taichung 40402, Taiwan
Thabet Abdeljawad: Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia6Department of Mathematics and Applied Mathematics, School of Science and Technology, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

FRACTALS (fractals), 2024, vol. 32, issue 07n08, 1-10

Abstract: This paper presents the following AB-Caputo fractional boundary value problem 0ABCDαu(ς) = 𠔖(ς,u(ς)),ς ∈ [0, 1] with integral-type boundary conditions u(0) = 0 = u″(0),γu(1) = λ∫01g 1(ϰ)u(ϰ)dϰ, of order 2 < α ≤ 3. Schauder and Krasnoselskii’s fixed point theorems are used to find existence results. Uniqueness is obtained via the Banach contraction principle. To investigate the stability of a given problem, Hyers–Ulam stability is discussed. An example is provided to validate our results.

Keywords: AB-Caputo Fractional BVP; Existence Results; Schauder Fixed Point Theorem; Uniqueness Krasnoselskii’s Fixed Point Theorem; Banach Contraction Principle and Stability (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X24400413
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:32:y:2024:i:07n08:n:s0218348x24400413

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X24400413

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().

 
Page updated 2025-03-20
Handle: RePEc:wsi:fracta:v:32:y:2024:i:07n08:n:s0218348x24400413