Investigation of the existence and uniqueness of solutions for higher order fractional differential inclusions and equations with integral boundary conditions

Adel Lachouri1 Department of Mathematics, Applied Mathematics Lab, Faculty of Sciences, University of Annaba, P. O. Box 12, Annaba23000, Algeria E-mail: [email protected]

Abdelouaheb Ardjouni2 Department of Mathematics, Applied Mathematics Lab, Faculty of Sciences, University of Annaba, P. O. Box 12, Annaba23000, Algeria;3 Department of Mathematics and Informatics, University of Souk Ahras, P. O. Box 1553, Souk Ahras41000, AlgeriaCorrespondence[email protected]

Ahcene Djoudi4 Department of Mathematics, Applied Mathematics Lab, Faculty of Sciences, University of Annaba, P. O. Box 12, Annaba23000, Algeria E-mail: [email protected]

Abstract

In this work, we give some novel uniqueness and existence results for higher order fractional differential inclusions and equations with integral boundary conditions. Our results are obtained via the fixed point theorems for multi valued and single analysis. An example demonstrating the effectiveness of the theoretical findings is presented.

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Investigation of the existence and uniqueness of solutions for higher order fractional differential inclusions and equations with integral boundary conditions

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Investigation of the existence and uniqueness of solutions for higher order fractional differential inclusions and equations with integral boundary conditions

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