NECESSARY CONDITIONS FOR THE EXISTENCE OF TRIPLE POSITIVE SOLUTIONS TO FRACTIONAL INTEGRODIFFERENTIAL BOUNDARY VALUE PROBLEMS AT RESONANCE
Keywords:
Fractional derivatives, Integrodifferential equation, Triple positive solution, At resonance, Singularity.Abstract
The fixed point index theory is used to determine whether there are set of solutions to boundary value problems with triple positives involving resonant fractional integrodifferential equations. To find the positive solutions, the spectrum theory and a few new height functions are also employed. An arbitrary fractional integral is used in the nonlinearity, which also allows for singularity.