Volume no :13, Issue no: 2, May (2015)

Journal of Pure and Applied Mathematics: Advances and Applications

ON EXISTENCE OF SOLUTION FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH FOUR-POINT NONLOCAL FRACTIONAL BOUNDARY CONDITIONS

Author's: Mahmoud Helal
Pages: [137] - [151]
Received Date: March 27, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121482

Abstract

In this paper, we investigate the existence of solutions for nonlinear fractional differential equations with nonlocal fractional of four-point boundary conditions. Our results are based on some classical fixed point theorems. Examples are given to illustrate the results.

Keywords

fractional differential equations, existence and uniqueness of solution, Schauder fixed point theorem.