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SOME EXISTENCE RESULTS FOR BOUNDARY VALUE PROBLEMS OF FRACTIONAL DIFFERENTIAL INCLUSIONS WITH NON-SEPARATED BOUNDARY CONDITIONS
Journal article   Open access  Peer reviewed

SOME EXISTENCE RESULTS FOR BOUNDARY VALUE PROBLEMS OF FRACTIONAL DIFFERENTIAL INCLUSIONS WITH NON-SEPARATED BOUNDARY CONDITIONS

Bashir Ahmad and Sotiris K. Ntouyas
Electronic journal of qualitative theory of differential equations, Vol.2010(71), pp.1-17
01/01/2010
DOI: https://doi.org/10.14232/ejqtde.2010.1.71

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we study the existence of solutions for a boundary value problem of differential inclusions of order q is an element of (1, 2] with non-separated boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.
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https://doi.org/10.14232/ejqtde.2010.1.71View
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