EXISTENCE RESULTS FOR ABC-FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED AND INTEGRAL TYPE OF BOUNDARY CONDITIONS

Nayyar Mehmood (), Ahsan Abbas (), Thabet Abdeljawad and AKGÃœL Ali ()
Additional contact information
Nayyar Mehmood: Department of Mathematics and Statistics, International Islamic University, Sector H-10, Islamabad, Pakistan
Ahsan Abbas: Department of Mathematics and Statistics, International Islamic University, Sector H-10, Islamabad, Pakistan
Thabet Abdeljawad: Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia3Department of Medical Research, China Medical University, Taichung 40402, Taiwan4Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan
AKGÃœL Ali: Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey

FRACTALS (fractals), 2021, vol. 29, issue 05, 1-16

Abstract: This paper presents a study on the existence theory of fractional differential equations involving Atangana–Baleanu (AB) derivative of order 1 < α ≤ 2, with non-separated and integral type boundary conditions. An existence result for the solutions of given AB-fractional differential equation is proved using Krasnoselskii’s fixed point theorem, while the uniqueness of the solution is obtained using Banach contraction principle. Some conditions are proposed under which the given boundary value problem is Hyers–Ulam stable. Examples are given to validate our results.

Keywords: ABC-Derivative; Higher Order AB Integral; Boundary Value Problem; Integral Boundary Conditions; Existence and Uniqueness; Krasnoselskiia’s Fixed Point Theorem; Banach Fixed Point Theorem (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X21400168
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:29:y:2021:i:05:n:s0218348x21400168

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X21400168

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 ().