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

Bashir Ahmad and Sotiris K. Ntouyas
Mediterranean journal of mathematics, Vol.10(3), pp.1333-1351
01/08/2013

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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