EXISTENCE RESULTS FOR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS INVOLVING ATANGANA–BALEANU DERIVATIVE

Ahsan Abbas (), Nayyar Mehmood (), AKGÃœL Ali, Thabet Abdeljawad and Manar A. Alqudah ()
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
AKGÃœL Ali: Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon3Department of Mathematics, Faculty of Arts and Sciences, Siirt University, 56100 Siirt, Turkey4Mathematics Research Center, Department of Mathematics, Faculty of Arts and Sciences, Near East University, Near East Boulevard, 99138 Nicosia/TRNC Mersin 10, Turkey
Thabet Abdeljawad: Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia6Department of Medical Research, China Medical University, Taichung 40402, Taiwan7Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea
Manar A. Alqudah: Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia

FRACTALS (fractals), 2023, vol. 31, issue 02, 1-19

Abstract: In this paper, the existence results for the solutions of the multi-term ABC-fractional differential boundary value problem (BVP) (δ20ABCDα+2 + δ 10ABCDα+1 + δ 00ABCDα)x(t) = ζ(t,x(t)) of order 0 < α < 1 with nonlocal boundary conditions have been derived by using Krasnoselskii’s fixed point theorem. The uniqueness of the solution is obtained with the help of Banach contraction principle. Examples are provided to confirm our obtained results.

Keywords: ABC-Fractional BVP; Existence; Uniqueness; Krasnoselskii’s Fixed Point Theorem; Banach Contraction Principle (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X23400248
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:31:y:2023:i:02:n:s0218348x23400248

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X23400248

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 ().