Solutions of nonlinear fractional integrodifferential equations with boundary conditions. (English) Zbl 1325.34087
Summary: A nonlinear fractional integrodifferential equation with boundary conditions is studied in this article, and some sufficient conditions for existence and uniqueness of a solution for the equation is established by Krasnoselskii fixed point theorem and Banach contraction principle, respectively.
MSC:
34K37 | Functional-differential equations with fractional derivatives |
34K30 | Functional-differential equations in abstract spaces |
47N20 | Applications of operator theory to differential and integral equations |
34B15 | Nonlinear boundary value problems for ordinary differential equations |