Nonlocal Boundary Value Problems for Riemann-Liouville Fractional Differential Inclusions with Hadamard Fractional Integral Boundary Conditions

In this paper we study a new class of boundary value problems consisting of a fractional differential inclusion of Riemann-Liouville type and Hadamard fractional integral conditions. Some new existence results for convex as well as non-convex multivalued maps are obtained by using standard fixed poi...

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Published inTaiwanese journal of mathematics Vol. 20; no. 1; pp. 91 - 107
Main Authors Ntouyas, Sotiris K., Tariboon, Jessada, Thaiprayoon, Chatthai
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.02.2016
Subjects
Boundary conditions
Boundary value problems
Continuous functions
Diagonal lemma
Differentials
Mathematical integrals
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Summary:In this paper we study a new class of boundary value problems consisting of a fractional differential inclusion of Riemann-Liouville type and 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. Some illustrative examples are also presented. 2010Mathematics Subject Classification. 34A60, 34A08, 34A12, 34B15. Key words and phrases. Riemann-Liouville fractional derivative, Hadamard fractional integral, Fractional differential inclusions, Existence, Fixed point theorems.
ISSN:1027-5487
2224-6851
DOI:10.11650/tjm.20.2016.5654