Existence results for three-point boundary value problems for nonlinear fractional differential equations

Volume 9, Issue 5, pp 2105--2116 http://dx.doi.org/10.22436/jnsa.009.05.16

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Authors

Sina Etemad - Young Researchers and Elite Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran. Sotiris K. Ntouyas - Department of Mathematics, University of Ioannina, 451 10, Ioannina, Greece. - 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. Jessada Tariboon - Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand. - Centre of Excellence in Mathematics, CHE, Sri Ayutthaya Rd., Bangkok 10400, Thailand.

Abstract

In this paper, we study a new class of nonlinear fractional differential equations with three-point boundary conditions. Existence of solutions are obtained by using Krasnoselskii's fixed point theorem and Leray-Schauder nonlinear alternative. An illustrative example is presented at the end of the paper to illustrate the validity of our results.

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Keywords

• Fractional differential equation
• boundary value problem
• existence
• fixed point theorem
• three-point.

MSC

•  34A08
•  34B10
•  34B15.

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