[PDF] Top 20 Infinitely many solutions for impulsive nonlinear fractional boundary value problems

... which fractional systems have been ...multiple solutions for cou- pled systems of nonlinear fractional differential equations was ...of fractional differential systems was ...weak ... See full document

... fourth-order problems in describing a large class of elastic deflection or modeling to study travalling waves in suspen- sion bridge, we treat a nonhomogenous Neumann-type problem driven by the p-biharmonic ... See full document

... of infinitely many weak solutions for a Navier doubly eigenvalue bound- ary value problem involving the p(x)-biharmonic operator is ...distinct solutions is ... See full document

... of nonlinear differential problems to investigate infinitely many ...to infinitely many solutions for the Sturm- Liouville ... See full document

... infinitely many solutions for a class of impulsive fractional boundary value problems with ...infinitely many nontrivial high or small energy solutions is ... See full document

... It is the purpose of this paper to use the global bifurcation theorem, see [15] and [1], to obtain infinity many nodal solutions to m-point boundary value problems (1.1), (1.2) under ... See full document

... containing fractional differential operators have recently renewed at- tention from scientists which is mainly due to applications as models for physical phenom- ena exhibiting anomalous ...the fractional ... See full document

... the fractional Laplacian operator (–) s and more generally non-local operators, please check the cited articles [, ] and the references ...the fractional Sobolev spaces W s,p via the Gagliardo approach ... See full document

... In the last number of years, it became evident that differential equations of non-integer order, also called fractionals (FDE’s), can capture better in models many of the relevant features of complex phenomena from ... See full document

... Our plan of the paper is as follows: in Section , we collect some well-known results to be used in the subsequent sections. In particular, we also present some new properties of Green’s function under the case M =  and ... See full document

... these problems: the fixed point theo- rems [, ], the method of upper and lower solutions [], or the topological degree theory ...of solutions by variational methods; see ... See full document

... positive solutions of Sturm-Liouville boundary value problems for singular nonlinear second-order impulsive integro differential equation in a real Banach ...positive ... See full document

... Suppose that ϕ(u) = u – φ(u) and ϕ : [, + ∞ ) → [, + ∞ ) is continuous, nondecreasing, positive in (, + ∞ ) and ϕ() = . Thus, for u ≥ v, d(Tu, Tv) ≤ d(u, v) – ϕ(d(u, v)). Finally, take into account that for the zero ... See full document

... Recently, many authors have focused on the existence of symmetric solutions for or- dinary differential equation boundary value problems; for example, see [–] and the references ... See full document

... on fractional boundary value problem with integral boundary con- ditions, let us refer to Vong ...positive solutions of the nonlocal bound- ary value problem for a class of ... See full document

... are many works devoted to the existence of solutions to the Laplacian impulsive differential equation boundary value problems, for example ...20–28. Many methods had been ... See full document

... the boundary value problem for a kind N-dimension nonlinear fractional differential system with the nonlinear terms involved in the fractional derivative ...The fractional ... See full document

... multiple solutions of boundary value problems for an impulsive fractional differential equation with ...multiple solutions are established for the considered ... See full document

... In this paper we establish the existence and uniqueness of solutions for impulsive fractional boundary-value problems with fractional integral jump conditions. By using a ... See full document

... been many works related to the existence of solutions for multipoint boundary value problems (BVPs for short in the remaining) at nonresonance of FDEs (see ...of solutions for a ... See full document