Existence Results for a New Class of Boundary Value Problems of Nonlinear Fractional Differential Equations
Department of mathematics, Central Tehran Branch Islamic Azad university, Tehran 13185/768, Iran
Department of Mathematics, Neka Branch Islamic Azad University, Neka 48411-86114, Iran
Department of mathematics, Central Tehran Branch Islamic Azad univesity, Tehran 13185/768, Iran
Author to whom correspondence should be addressed.
Academic Editor: Hari M. Srivastava
Received: 27 December 2015 / Revised: 24 February 2016 / Accepted: 25 February 2016 / Published: 4 March 2016
In this article, we study the following fractional boundary value problem
are the standard Caputo derivative and
is a positive real number. Some new existence results are obtained by means of the contraction mapping principle and Schauder fixed point theorem. Some illustrative examples are also presented.
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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MDPI and ACS Style
Alvan, M.; Darzi, R.; Mahmoodi, A. Existence Results for a New Class of Boundary Value Problems of Nonlinear Fractional Differential Equations. Mathematics 2016, 4, 13.
Alvan M, Darzi R, Mahmoodi A. Existence Results for a New Class of Boundary Value Problems of Nonlinear Fractional Differential Equations. Mathematics. 2016; 4(1):13.
Alvan, Meysam; Darzi, Rahmat; Mahmoodi, Amin. 2016. "Existence Results for a New Class of Boundary Value Problems of Nonlinear Fractional Differential Equations." Mathematics 4, no. 1: 13.
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