Second-order abstract Cauchy problem of conformable fractional type

Author(s):

Roshdi Khalil , Sharifa Alsharif , Sara Khamis

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we discuss atomic solutions of the second-order abstract Cauchy problem of conformable fractional type u(2α)(t)+Bu(α)(t)+Au(t)u(0)u(α)(0)===f(t)u0,u(α)0, % where A,B are closed linear operators on a Banach space X, f :[0,∞)→X \ is continuous and u is a continuously differentiable function on [0,∞). Some new results on atomic solutions using tensor product technique are obtained.

Keywords:

Inverse problem , fractional derivative , tensor product of Banach spaces , atomic solution

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:13 Issue: 2, Summer-Autumn 2022
Pages:
1143 to 1150
https://www.magiran.com/p2465513