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Existence and uniqueness of solutions for nonlinear fractional differential equations depending on lower-order derivative with non-separated type integral boundary conditions

Djamila Chergui Taki Eddine Oussaeif Merad Ahcene

*Corresponding author: Taki Eddine Oussaeif taki_maths@live.fr

Math2019,1,112doi:10.3934/Math.2019.1.112

We study a new class of boundary value problems of nonlinear fractional differential equations whose nonlinear term depends on a lower-order derivative with fractional non-separated type integral boundary conditions. Some existence and uniqueness results are obtained by using standard fixed point theorems. Examples are given to illustrate the results.

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