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Some fractional-order one-dimensional semi-linear problems under nonlocal integral boundary conditions
Journal article   Peer reviewed

Some fractional-order one-dimensional semi-linear problems under nonlocal integral boundary conditions

Bashir Ahmad and Sotiris K. Ntouyas
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, Vol.110(1), pp.159-172
01/03/2016
DOI: https://doi.org/10.1007/s13398-015-0228-4

Abstract

Mathematics Multidisciplinary Sciences Physical Sciences Science & Technology Science & Technology - Other Topics
In this paper, we study a new class of one-dimensional semi-linear problems of fractional differential equations supplemented with nonlocal flux type integral boundary conditions. New existence and uniqueness results are obtained for the given problem by using some standard fixed point theorems. The obtained results are illustrated with the aid of examples.

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