4.4 Article

Existence of Solutions for Nonlinear Fractional q-Difference Inclusions with Nonlocal Robin (Separated) Conditions

Journal

MEDITERRANEAN JOURNAL OF MATHEMATICS
Volume 10, Issue 3, Pages 1333-1351

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s00009-013-0258-0

Keywords

Fractional q-difference inclusion; nonlocal boundary condition; fixed point theorem

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In this paper, we show the existence of solutions for nonlinear fractional q-difference inclusions involving convex as well as non-convex valued maps with nonlocal Robin (separated) conditions. Our results are new in the present configuration and are based on some standard principles for multivalued maps. A special case for q-difference inclusions in the given setting is also discussed. Some interesting observations are presented.

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