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Arbitrary order fractional differential equations and inclusions with new integro-multipoint boundary conditions
Journal article   Open access  Peer reviewed

Arbitrary order fractional differential equations and inclusions with new integro-multipoint boundary conditions

Sara Salem, Ahmed Alsaedi, Bashir Ahmad and Maryem Al-Yami
Advances in difference equations, Vol.2018(1), pp.1-19
24/10/2018
DOI: https://doi.org/10.1186/s13662-018-1827-0

Abstract

Analysis Difference and Functional Equations Functional Analysis general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
In this paper, we study a new boundary value problem of arbitrary order fractional differential equations equipped with new integro-multipoint boundary conditions. Existence and uniqueness results for the given problem are obtained by applying the standard tools of fixed point theory. We also extend the problem at hand to its inclusions case and prove an existence result for it by applying a fixed point theorem due to Bohnenblust and Karlin.
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https://doi.org/10.1186/s13662-018-1827-0View
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