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

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Abstract

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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Ahmad, B., Ntouyas, S.K. Existence of Solutions for Nonlinear Fractional q-Difference Inclusions with Nonlocal Robin (Separated) Conditions. Mediterr. J. Math. 10, 1333–1351 (2013). https://doi.org/10.1007/s00009-013-0258-0

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