Existence of a positive solution for a singular fractional boundary value problem with fractional boundary conditions using convolution and lower order problems

Authors: JEFFREY W. LYONS, JEFFREY T. NEUGEBAUER

Abstract: Existence of a positive solution is shown for two singular two-point fractional boundary value problems with fractional boundary conditions using fixed point theory, lower order problems, and convolution of Green's functions. A nontrivial example is included.

Keywords: Fractional differential equation, singular problem, fixed point, positive solution, convolution, change of variable

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