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

In this paper, we introduce a new kind of generalized fractional integral boundary conditions and develop the existence theory for a fractional di erential equation involving generalized Caputotype fractional derivative equipped with these conditions. We also study the inclusion case of the given pr...

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Main Authors: Bashir Ahmad, Madeaha Alghanmi, Sotiris K. Ntouyas, Ahmed Alsaedi
Formáid: Artigo
Teanga:Inglês
Foilsithe: AIMS Press 2019-01-01
Sraith:AIMS Mathematics
Ábhair:
differential equations and inclusion
generalized Caputo derivative
fractional integral
existence
fixed point
Rochtain Ar Líne:https://www.aimspress.com/article/10.3934/Math.2019.1.26/fulltext.html
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