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Mathematics 2019, 7(2), 117; https://doi.org/10.3390/math7020117

Existence and Stability Analysis for Fractional Differential Equations with Mixed Nonlocal Conditions

1
Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
2
Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
3
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
*
Author to whom correspondence should be addressed.
Received: 29 November 2018 / Revised: 17 January 2019 / Accepted: 21 January 2019 / Published: 23 January 2019
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Abstract

In this paper, we study the existence and uniqueness of solution for fractional differential equations with mixed fractional derivatives, integrals and multi-point conditions. After that, we also establish different kinds of Ulam stability for the problem at hand. Examples illustrating our results are also presented. View Full-Text
Keywords: Caputo fractional derivative; nonlocal boundary conditions; integral conditions; existence; uniqueness; Ulam–Hyers stability Caputo fractional derivative; nonlocal boundary conditions; integral conditions; existence; uniqueness; Ulam–Hyers stability
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Asawasamrit, S.; Nithiarayaphaks, W.; Ntouyas, S.K.; Tariboon, J. Existence and Stability Analysis for Fractional Differential Equations with Mixed Nonlocal Conditions. Mathematics 2019, 7, 117.

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