On an integro-differential equation of arbitrary (fractional) orders with nonlocal integral and infinite-point boundary conditions

Abstract

. In this paper, we study the existence and uniqueness of solutions for an integro– differential equation of arbitrary (fractional) orders with nonlocal integral and in fi nite-point boundary conditions, continuous dependence of the solution on nonlocal data, on initial con- dition and on functional equation also will be study. An examples to prove main results.