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On the existence of solutions for fractional q-difference inclusions with q-antiperiodic boundary conditions
Journal article

On the existence of solutions for fractional q-difference inclusions with q-antiperiodic boundary conditions

Bashir Ahmad, Sina Etemad, Mina Ettefagh and Shahram Rezapour
Bulletin mathématiques de la Société des sciences mathématiques de Roumanie, Vol.59(2), pp.119-134
01/01/2016

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we investigate the existence of solutions for a nonlinear fractional q-difference inclusion: (c)D(q)(alpha)u(t) is an element of F(t,u(t),D(q)u(t),D(q)(2)u(t)), 2 < alpha <= 3 supplemented with q-antiperiodic boundary conditions for convex and non-convex multivalued maps.

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