Existence of solutions for a nonlinear fractional system with nonlocal boundary conditions

Abstract

In this paper, we use fixed point theorems to prove the existence and uniqueness of solution for a nonlinear fractional system with boundary conditions. At the end we present two examples illustrating the obtained results.

Analysis of boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative

“…One of the main factors that represent the utility/prevalence of the subject is that fractional order derivatives and integrals are shown to be better devices for the representation of real components than integer orders. We refer the reader to the papers [6,8,11,18,19,20,21,22,23,26,27,4,30,3,17] for examples and information, and the references cited therein. A large part of the work on the subject was found to depend on Riemann-Liouville and Caputo FDEs.…”