Abstract
In this paper, we study the boundary value problems for a class of nonlinear fractional differential equations with impulsive and fractional integral boundary conditions. By means of standard fixed point theorems, some existence and uniqueness results are obtained. As applications, two examples are given to illustrate the results.
Highlights
The subject of fractional differential equations has evolved as an interesting and popular field of research
There has been a great deal of research on the questions of existence and uniqueness of solutions for boundary value problems of fractional differential equations with integral boundary conditions
The paper is organized as follows: in Section we present the notations, definitions and give some preliminary results that we need in the sequel, Section is dedicated to the existence results of problem ( ), in the final Section, two examples are given to illustrate the results
Summary
The subject of fractional differential equations has evolved as an interesting and popular field of research. There has been a great deal of research on the questions of existence and uniqueness of solutions for boundary value problems of fractional differential equations with integral boundary conditions. Ahmad et al [ ] investigated the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional differential equations with three-point integral boundary conditions given by cDαx(t) = f (t, x(t)), t ∈ [ , ], < α ≤ , x( ) = , x( ) = a η
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