EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

A. KAMESWARA RAO

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Abstract

We show under some conditions the existence and multiplicity of positive solutions for a system of dierential equations of fractional order, subject to two-point boundary conditions by applying the xed point index theory in cones.

Keywords

systems of dierential equations of fractional order, the xed point index theory, positive solutions, Greens' function, cone.