Fractional integral problems for Hadamard–Caputo fractional Langevin differential inclusions

Original Research
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Abstract

In this paper we study a boundary value problem consisting from a fractional Langevin differential inclusion of Hadamard–Caputo type subject to Hadamard fractional integral conditions. Some new existence results for convex as well as non-convex multivalued maps are obtained by using standard fixed point theorems. The obtained results are illustrated by examples.

Keywords

Hadamard fractional derivative Hadamard fractional integral Fractional differential inclusions Existence Fixed point theorems 

Mathematics Subject Classification

34A60 34A08 34B15 
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Copyright information

© Korean Society for Computational and Applied Mathematics 2015

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of IoanninaIoanninaGreece
  2. 2.Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Department of Mathematics, Faculty of Applied Science, Nonlinear Dynamic Analysis Research CenterKing Mongkut’s University of Technology North BangkokBangkokThailand

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