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Weak solutions for nonlinear fractional differential equation with fractional separated boundary conditions in Banach spaces

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This paper deals with nonlinear fractional differential equation with fractional separated boundary conditions. We investigate the existence of weak solutions in Banach spaces. To obtain such result we apply an… Click to show full abstract

This paper deals with nonlinear fractional differential equation with fractional separated boundary conditions. We investigate the existence of weak solutions in Banach spaces. To obtain such result we apply an appropriate fixed point theorem and the technique of measures of weak noncompactness. An example illustrating the theory is given.

Keywords: equation fractional; differential equation; separated boundary; nonlinear fractional; fractional differential; fractional separated

Journal Title: Filomat
Year Published: 2018

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