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A study of fractional differential equations and inclusions involving generalized Caputo-type derivative equipped with generalized fractional integral boundary conditions
Journal article   Open access  Peer reviewed

A study of fractional differential equations and inclusions involving generalized Caputo-type derivative equipped with generalized fractional integral boundary conditions

Bashir Ahmad, Madeaha Alghanmi, Sodris K. Ntouyas, Ahmed Alsaedi and 2 Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
AIMS mathematics, Vol.4(1), pp.26-42
01/01/2019
DOI: https://doi.org/10.3934/Math.2019.1.26

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we introduce a new kind of generalized fractional integral boundary conditions and develop the existence theory for a fractional differential equation involving generalized Caputo-type fractional derivative equipped with these conditions. We also study the inclusion case of the given problem. Examples are constructed to demonstrate the application of the obtained results.
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https://doi.org/10.3934/Math.2019.1.26View
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