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

Abstract

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.

Keywords

• fractional differential equations
• fractional non-separated boundary conditions
• fixed point theorems
• existence