EXISTENCE RESULTS FOR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS INVOLVING ATANGANA–BALEANU DERIVATIVE-Reference-Cited by-同舟云学术

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

Published:2023-01 Issue:02 Volume:31 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

ABBAS AHSAN¹,MEHMOOD NAYYAR¹,AKGÜL ALI²³⁴,ABDELJAWAD THABET⁵⁶⁷,ALQUDAH MANAR A.⁸

Affiliation:

1. Department of Mathematics and Statistics, International Islamic University, Sector H-10, Islamabad, Pakistan

2. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

3. Department of Mathematics, Faculty of Arts and Sciences, Siirt University, 56100 Siirt, Turkey

4. Mathematics Research Center, Department of Mathematics, Faculty of Arts and Sciences, Near East University, Near East Boulevard, 99138 Nicosia/TRNC Mersin 10, Turkey

5. Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia

6. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

7. Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea

8. Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia

Abstract

In this paper, the existence results for the solutions of the multi-term ABC-fractional differential boundary value problem (BVP) [Formula: see text] of order [Formula: see text] 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.

Funder

Princess Nourah Bint Abdulrahman University Researchers

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X23400248

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