Article ID Journal Published Year Pages File Type
759258 Communications in Nonlinear Science and Numerical Simulation 2012 7 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
Authors
, ,