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ON NONLINEAR FRACTIONAL-ORDER BOUNDARY VALUE PROBLEMS WITH NONLOCAL MULTI-POINT CONDITIONS INVOLVING LIOUVILLE-CAPUTO DERIVATIVE
Journal article   Open access

ON NONLINEAR FRACTIONAL-ORDER BOUNDARY VALUE PROBLEMS WITH NONLOCAL MULTI-POINT CONDITIONS INVOLVING LIOUVILLE-CAPUTO DERIVATIVE

Ravi P. Agarwal, Ahmed Alsaedi, Alaa Alsharif and Bashir Ahmad
DIFFERENTIAL EQUATIONS & APPLICATIONS, Vol.9(2), pp.147-160
01/05/2017

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we study some new nonlinear boundary value problems of Liouville-Caputo type fractional differential equations supplemented with nonlocal multi-point conditions involving lower order fractional derivative. We make use of some well known tools of the fixed point theory to establish the existence of solutions for problems at hand. For illustration of the obtained results, several examples are discussed.
url
https://doi.org/10.7153/dea-09-12View
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