Article ID Journal Published Year Pages File Type
766934 Communications in Nonlinear Science and Numerical Simulation 2013 14 Pages PDF
Abstract

In this paper, a generalized anti-periodic boundary value problem for an impulsive fractional differential equation is studied. A natural formula of solutions is derived and new existence theorems of the solutions are established under the mixed nonlinear DD-contraction condition, comparison condition, sublinear growth condition and nonlinear growth condition via fixed point methods. In particular, a new special hybrid singular type Gronwall inequality is established to obtain a prior bounds of the solutions.

► A generalized anti-periodic boundary value problem for an impulsive fractional differential equation is studied. ► A natural formula of solutions is derived and new existence theorems of the solutions are established. ► A new special hybrid singular type Gronwall inequality is established.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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