[PDF] Top 20 Infinitely many solutions for nonlinear fractional boundary value problems via variational methods

... 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

... Fractional differential equations (FDEs) are a simplification of ordinary differential equa- tions and integration to arbitrary non-integer orders. FDEs have recently established themselves as precious tools in ... See full document

... got via various ...through variational methods and critical point ...the fractional Laplacian operator (–) s and more generally non-local operators, please check the cited articles [, ] and ... See full document

... on variational methods and critical point theory, they obtained the existence results of infinitely many classical solutions and three solutions for problem ...three solutions for ... See full document

... years, variational methods and critical point theory have already been applied successfully to investigate the existence of solutions for nonlinear fractional boundary ... See full document

... positive solutions and infinitely many positive solutions of the problems by variational methods, respectively; Perera and Zhang 12 obtained one nontrivial ... 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

... important Variational Principle of Ricceri 8, which is, basically, the same as our ...the nonlinear term f is discontinuous, there have been many approaches to studying a nonlinear eigenvalue ... See full document

... Multi-point boundary value problems for ordinary differential equations arise in different areas of applied mathematics and ...of solutions of the second order multi-point boundary ... 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

... 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

... of solutions of boundary value problems of nonlinear fractional integro-differential equations involving Caputo fractional derivative by using the techniques such as ... See full document

... A class of nonlinear fractional multipoint boundary value problems at resonance is considered in this article. The existence results are obtained by the method of the coincidence degree ... See full document

... initial value problems of FDE involving Riemann-Liouville differential operator has been discussed by Lakshmikantham 5–7, El-Sayed et ...of solutions for nonlinear FDE boundary ... See full document

... The paper is arranged as follows. In Section , the authors present some necessary pre- liminary facts that will be needed in the paper. In Section , the authors establish the exis- tence of nontrivial solutions ... See full document

... Recently, boundary value problems of nonlinear fractional q-difference equations have aroused considerable ...attention. Many people pay attention to the existence and ... See full document

... In the last two decades, the theory of fractional calculus has gained importance and popularity, due to its wide range of applications in varied fields of sciences and engineering. In [1, 3, 6, 7, 13, 19, 25, 27, ... 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

... sequential fractional differential ...the fractional derivatives that rep- resents an interesting complication that does not arise in the integer- order ...two fractional derivatives, which gives ... See full document