Open AccessExistence and Stability of Solutions for Bilinear Control System with Rieman-Leovel Initial Condition
Author(s) -
Sameer Qasim Hasan,
Fatima S. Hussein
Publication year - 2017
Publication title -
maǧallaẗ ʻulūm al-mustanṣiriyyaẗ/mustansiriyah journal of science
Language(s) - English
Resource type - Journals
eISSN - 2521-3520
pISSN - 1814-635X
DOI - 10.23851/mjs.v28i1.322
Subject(s) - mathematics , sobolev space , fractional calculus , nonlinear system , class (philosophy) , bilinear interpolation , order (exchange) , type (biology) , initial value problem , banach space , mathematical analysis , differential equation , separable space , pure mathematics , physics , computer science , finance , ecology , statistics , quantum mechanics , artificial intelligence , economics , biology
In this paper, we shall study the existence of a new class called fractional Caputo type of order sobolev type fractional order differential Equations motion in separable Banach spaces. The class of impulsive nonlinear fractional order bilinear control differential Equations with Riemann Leovel differential initial value studied and discussed also given the important results for the almost periodic mild solution to be sTable by using Menards function and granwal fractional inequality.