Eur. Phys. J. Special Topics 226, 3369–3390 (2017)
https://doi.org/10.1140/epjst/e2018-00009-3

Regular Article

On multi-term fractional differential equations with multi-point boundary conditions

¹ 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
² Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia
³ Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

^a e-mail: bashirahmad_qau@yahoo.com

Received: 28 January 2018
Published online: 25 July 2018

Abstract

In this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point boundary value problems of multi-term fractional differential equations by using standard fixed point theorems. We also demonstrate the application of the obtained results with the aid of examples. The paper concludes with the study of multi-term fractional integro-differential equations supplemented with multi-point boundary conditions. Our results are new and contribute significantly to the existing literature on the topic.