NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS OF ARBITRARY ORDER AND MULTI-STRIP BOUNDARY CONDITIONS

We study boundary value problems of nonlinear fractional dier- ential equations and inclusions of order q 2 (m 1,m), m 2 with multi-strip boundary conditions. Multi-strip boundary conditions may be regarded as the generalization of multi-point boundary conditions. Our problem is new in the sense that we consider a nonlocal strip condition of the form: problems occur in the applied fields such as wave propagation and geophysics. Some new existence and uniqueness results are obtained by using a variety of fixed point theorems. Some illustrative examples are also discussed.

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