… In recent years, many authors focus on the development of techniques for discussing the
solutions of fractional differential and integro-differential equations. For instance, we can
remember the following works: Ibrahim and Momani [16] studied the existence and
uniqueness of solutions of a class of fractional order differential equations, Karthikeyan and
Trujillo [18] proved existence and uniqueness of solutions for fractional integrodifferential
equations with boundary value conditions, Bahuguna and Dabas [3] applied the method of …

In this paper, we establish sufficient conditions for the existence and uniqueness of solutions
for a class of boundary value problems with integral condition for neutral fractional integro-
differential equations. The results are established by the application of the contraction
mapping principle, Leray-Schauder alternative theorem and Krasnoselskii fixed point
theorem. An example is provided to illustrate the main results.