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Existence results for fractional differential equations of arbitrary order with nonlocal integral boundary conditions
Journal article   Open access  Peer reviewed

Existence results for fractional differential equations of arbitrary order with nonlocal integral boundary conditions

Bashir Ahmad, Mohammed M. Matar and Ravi P. Agarwal
Boundary value problems, Vol.2015(1), pp.1-13
01/12/2015

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we investigate the existence of solutions for fractional differential equations of arbitrary order with nonlocal integral boundary conditions. The existence results are obtained by applying Krasnoselskii's fixed point theorem and Leray-Schauder degree theory, while the uniqueness of the solutions is established by means of Banach's contraction mapping principle. The paper concludes with illustrative examples.
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https://doi.org/10.1186/s13661-015-0484-4View
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