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Positive solutions of a class of nonlinear boundary value fractional differential equations

Abstract: In this paper, the existence of positive solutions of a class of nonlinear fractional boundary value problemsis considered. Two fixed point theorems are used, namely: Banach Contraction mapping principle andLeggett-Williams fixed point theorems. The former is used to prove the existence of a unique solution, whereasthe latter is used to prove the existence of at least three positive solutions to the problem. Some examples areprovided to illustrate the two results.
Keywords: differential / nonlinear / boundary / theorems / positive solutions / Williams / Contraction / illustrate / former / areprovided

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