Fractional integral problems for Hadamard–Caputo fractional Langevin differential inclusions

• Published in: Journal of applied mathematics & computing Vol. 51; no. 1-2; pp. 13 - 33
• Main Authors: Ntouyas, Sotiris K., Tariboon, Jessada
• Format: Journal Article
• Language: English
• 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
• ISSN: 1598-5865; 1865-2085
• DOI: 10.1007/s12190-015-0888-4

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...