Existence and uniqueness results for fractional integrodifferential equations with boundary value conditions

In this paper, we study existence and uniqueness of fractional integrodifferential equations with boundary value conditions. A new generalized singular type Gronwall inequality is given to obtain an important a priori bounds. Existence and uniqueness results of solutions are established by virtue of fractional calculus and fixed point method under some weak conditions. An example is given to illustrate the results.

► Existence of fractional BVP with nonlinear integral operator is studied.
► Generalized singular Gronwall type inequality is used.
► One interesting example are presented.