Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order

Fractional differential equations arise in many engineering and scientific disciplines as the mathematical modeling of systems and processes in various fields, such as physics, mechanics, aerodynamics, chemistry, and engineering and biological sciences, involves derivatives of fractional order. Fractional differential equations also provide an excellent tool for the description of memory and hereditary properties of many materials and processes. In consequence, fractional differential equations have emerged as a significant development in recent years, see 1–3 . As one of the important topics in the research differential equations, the boundary value problem has attained a great deal of attention frommany researchers, see 4–11 and the references therein. As pointed out in 12 , the nonlocal boundary condition can be more useful than the standard condition to describe some physical phenomena. There are three noteworthy papers dealing with the nonlocal boundary value problem of fractional differential equations. Benchohra et al. 12 investigated the following nonlocal boundary value problem