Cauchy problem for non-autonomous fractional evolution equations

JW He, Y Zhou - Fractional Calculus and Applied Analysis, 2022 - Springer
In this paper, we study the solvability of Cauchy problem for a class of non-autonomous
fractional evolution equation with Caputo's fractional derivative of order α∈(1, 2), which can …

Non-autonomous fractional Cauchy problems with almost sectorial operators

JW He, Y Zhou - Bulletin des Sciences Mathématiques, 2024 - Elsevier
In this paper, we study a class of non-autonomous fractional Cauchy problems with the
almost sectorial operators. We consider the time fractional derivative in the sense of Caputo …

Non-autonomous evolution equations with Riemann-Liouville fractional derivative

J HE, Y ZHOU - Rocky Mountain J. Math., to appear - projecteuclid.org
In this paper, we study a Cauchy problem for non-autonomous evolution equations with
Riemann-Liouville fractional derivative. We propose two different concepts of fundamental …

[图书][B] Nonautonomous Fractional Evolution Equations

Y Zhou, JW He - 2024 - books.google.com
Fractional evolution equations describe various complex and nonlocal systems with
memory. This volume investigates fractional evolution equations, in infinite intervals. The …