Ahmed Alsaedi, Najla Alghamdi, Ravi P. Agarwal, Sotiris K. Ntouyas, Bashir Ahmad
Abstract:
In this article, we introduce a class of multi-term fractional-order
boundary-value problems involving nonlocal integral boundary conditions.
Existence results for the given problem are obtained by means of standard
tools of fixed point theory. The results are illustrated with the
aid of examples and make a useful contribution to the existing literature
on the topic.
Submitted February 25, 2018. Published April 10, 2018.
Math Subject Classifications: 34A08, 34B10.
Key Words: Caputo fractional derivative; integral boundary condition;
multi-term fractional differential equations;
existence; fixed point.
An addendum was posted on May 2, 2018. It indicates that the converse part of Lemma 2.4 is incorrect. See the last page of this article.
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Ahmed Alsaedi Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group Department of Mathematics, Faculty of Science King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia email: aalsaedi@hotmail.com | |
Najla Alghamdi Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group Department of Mathematics, Faculty of Science King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia email: njl-ghamdi@hotmail.com | |
Ravi P. Agarwal Department of Mathematics Texas A&M University Kingsville, TX 78363-8202, USA email: Ravi.Agarwal@tamuk.edu | |
Sotiris K. Ntouyas Department of Mathematics University of Ioannina 451 10 Ioannina, Greece email: sntouyas@uoi.gr | |
Bashir Ahmad Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group Department of Mathematics, Faculty of Science King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia email: bashirahmad_qau@yahoo.com |
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