[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 and multiplicity results of homoclinic solutions for fractional Hamiltonian systems

Y Zhou, L Zhang - Computers & Mathematics with Applications, 2017 - Elsevier
In this paper, by the critical point theory, we consider the existence and multiplicity of
solutions for the following fractional differential equation t D∞ α (−∞ D t α u (t))+ L (t) u (t)=∇ …

Variational approach to solutions for a class of fractional Hamiltonian systems

Z Zhang, R Yuan - Mathematical Methods in the Applied …, 2014 - Wiley Online Library
In this paper, we investigate the existence of infinitely many solutions for the following
fractional Hamiltonian systems: FHS where α∈(1∕ 2, 1),,, and are symmetric and positive …

-Hilfer impulsive variational problem

CET Ledesma, N Nyamoradi - Revista de la Real Academia de Ciencias …, 2023 - Springer
In this paper, we study a fractional impulsive differential equation with the (k, ψ)-Hilfer
fractional derivative operator. Some properties of the (k, ψ)-Riemann-Liouville fractional …

-Hilfer variational problem

CE Torres Ledesma, N Nyamoradi - Journal of Elliptic and Parabolic …, 2022 - Springer
In this paper, we study variational structure for the (k, ψ)-Hilfer fractional derivative operator.
We investigate some properties of (k, ψ)-Hilfer fractional integral and derivative which are …

Boundary value problem with fractional p-Laplacian operator

C Torres Ledesma - Advances in Nonlinear Analysis, 2016 - degruyter.com
The aim of this paper is to obtain the existence of solution for the fractional p-Laplacian
Dirichlet problem with mixed derivatives t DT α (| 0 D t α u (t)| p-20 D t α u (t))= f (t, u (t)), t∈[0 …

Fractional Sobolev space with Riemann–Liouville fractional derivative and application to a fractional concave–convex problem

CET Ledesma, MCM Bonilla - Advances in Operator Theory, 2021 - Springer
A new fractional function space EL α [a, b] with Riemann–Liouville fractional derivative and
its related properties are established in this paper. Under this configuration, the following …

[PDF][PDF] Existence of solution for fractional Langevin equation: variational approach

C Torres - Electronic Journal of Qualitative Theory of Differential …, 2014 - real.mtak.hu
Existence of solution for fractional Langevin equation: variational approach Page 1
Electronic Journal of Qualitative Theory of Differential Equations 2014, No. 54, 1–14; http://www.math.u-szeged.hu/ejqtde …

Existence and multiplicity of nontrivial solutions for nonlinear fractional differential systems with p‐Laplacian via critical point theory

D Li, F Chen, Y An - Mathematical Methods in the Applied …, 2018 - Wiley Online Library
In this paper, the existence and multiplicity of nontrivial solutions are obtained for nonlinear
fractional differential systems with p‐Laplacian by combining the properties of fractional …

Multiplicity of solutions for fractional Hamiltonian systems with Liouville-Weyl fractional derivatives

G Amado Mendez Cruz, CE Torres Ledesma - Fractional Calculus and …, 2015 - Springer
In this paper, we investigate the existence of infinitely many solutions for the following
fractional Hamiltonian systems: 0.1 _tD_ ∞^ α\left (_-∞ D_t^ α u\left (t\right)\right)+ L\left …