Fractional integral problems for Hadamard–Caputo fractional Langevin differential inclusions

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 p...

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Bibliographic Details
Published inJournal of applied mathematics & computing Vol. 51; no. 1-2; pp. 13 - 33
Main Authors Ntouyas, Sotiris K., Tariboon, Jessada
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2016
Springer Nature B.V
Subjects
Applied mathematics
Boundary value problems
Computation
Computational Mathematics and Numerical Analysis
Control theory
Inclusions
Integrals
Mathematical analysis
Mathematical and Computational Engineering
Mathematical models
Mathematics
Mathematics and Statistics
Mathematics of Computing
Original Research
Studies
Theorems
Theory of Computation
Hadamard fractional derivative
34B15
Fixed point theorems
34A60
Existence
Hadamard fractional integral
Fractional differential inclusions
34A08
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Summary: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.
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ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-015-0888-4