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A study of Riemann-Liouville fractional nonlocal integral boundary value problems

Bashir Ahmad1*, Ahmed Alsaedi1, Afrah Assolami1 and Ravi P Agarwal12

Author Affiliations

1 Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

2 Department of Mathematics, Texas A&M University, Kingsville, TX, 78363-8202, USA

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Boundary Value Problems 2013, 2013:274  doi:10.1186/1687-2770-2013-274

Published: 13 December 2013

Abstract

In this paper, we discuss the existence and uniqueness of solutions for a Riemann-Liouville type fractional differential equation with nonlocal four-point Riemann-Liouville fractional-integral boundary conditions by means of classical fixed point theorems. An illustration of main results is also presented with the aid of some examples.

MSC: 34A08, 34B10, 34B15.

Keywords:
fractional differential equations; nonlocal fractional-integral boundary conditions; existence; fixed point