[图书][B] Basic theory of fractional differential equations

Y Zhou - 2023 - books.google.com
This accessible monograph is devoted to a rapidly developing area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

[HTML][HTML] Existence of fractional neutral functional differential equations

RP Agarwal, Y Zhou, Y He - Computers & Mathematics with Applications, 2010 - Elsevier
Existence of fractional neutral functional differential equations - ScienceDirect Skip to main
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[HTML][HTML] Existence of solutions for a class of fractional boundary value problems via critical point theory

F Jiao, Y Zhou - Computers & Mathematics with Applications, 2011 - Elsevier
In this paper, by the critical point theory, a new approach is provided to study the existence
of solutions to the following fractional boundary value problem: where 0Dt− β and tDT− β are …

Existence results for fractional boundary value problem via critical point theory

F Jiao, Y Zhou - International Journal of Bifurcation and Chaos, 2012 - World Scientific
In this paper, by the critical point theory, the boundary value problem is discussed for a
fractional differential equation containing the left and right fractional derivative operators …

Initial value problems for fractional differential equations involving Riemann–Liouville sequential fractional derivative

Z Wei, Q Li, J Che - Journal of Mathematical Analysis and Applications, 2010 - Elsevier
In this paper, we shall discuss the properties of the well-known Mittag–Leffler function, and
consider the existence and uniqueness of solution of the initial value problem for fractional …

Existence and uniqueness for fractional neutral differential equations with infinite delay

Y Zhou, F Jiao, J Li - Nonlinear Analysis: Theory, Methods & Applications, 2009 - Elsevier
Existence and uniqueness for fractional neutral differential equations with infinite delay -
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Monotone iterative method for initial value problem involving Riemann–Liouville fractional derivatives

S Zhang - Nonlinear Analysis: Theory, Methods & Applications, 2009 - Elsevier
Monotone iterative method for initial value problem involving Riemann–Liouville fractional
derivatives - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

Fractional integro-differential calculus and its control-theoretical applications. I. Mathematical fundamentals and the problem of interpretation

AG Butkovskii, SS Postnov, EA Postnova - Automation and Remote Control, 2013 - Springer
The review is devoted to using the fractional integro-differential calculus for description of
the dynamics of various systems and control processes. Consideration was given to the …

Existence of the mild solution for some fractional differential equations with nonlocal conditions

GM Mophou, GM N'Guérékata - Semigroup Forum, 2009 - Springer
We are concerned in this paper with the existence of mild solutions to the Cauchy Problem
for the fractional differential equation with nonlocal conditions: D qx (t)= Ax (t)+ tnf (t, x (t), Bx …

Existence and uniqueness for p-type fractional neutral differential equations

Y Zhou, F Jiao, J Li - Nonlinear Analysis: Theory, Methods & Applications, 2009 - Elsevier
Existence and uniqueness for p-type fractional neutral differential equations - ScienceDirect
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