[PDF] Top 20 Existence of Solutions to a Nonlocal Boundary Value Problem with Nonlinear Growth

... The purpose of this paper is to study the existence of solutions for nonlocal BVP 1.1, 1.2 at resonance case i.e., g1 1 and establish some existence results under nonlinear ... See full document

... By using the Four functionals fixed point theorem and Five functionals fixed point theorem, we obtain the existence criteria of at least one positive solution and three positive solutions for the BVP 1.3. ... See full document

... Note that we could use similar methods to consider the case where U = B(0, 1) \ B(0,ρ), with 0 < ρ < 1. Similar results could then be reached. We remark also that for special classes of functions f and g different ... See full document

... The rest of this paper is organized as follows. In Sect. 2, we recall some definitions and lemmas of the Caputo and Riemann–Liouville fractional calculus. In Sect. 3, we shall prove the existence of ... See full document

... the existence of solutions for boundary value problems (BVPs) of nonlinear fractional differential ...of nonlinear fractional differential ...for nonlinear fractional ... See full document

... In the case μ = 0, problem (1.1) has been studied extensively. For example, when p = 2 ∗ , Capozzi et al. [1] have shown that (1.1) has at least one positive solution for N ≥ 5. When 2 < p < 2 ∗ , the ... See full document

... In this section we develop sufficient conditions on the nonlinear function f , under which the BVP (1.1) has at least one solution and also we study sufficient conditions leading to multiplicity of positive ... See full document

... initial value problems for nonlinear differential equations of fractional order,” Nonlinear Analysis: Theory, Methods & Applications, ...“Nontrivial solutions for a nonlinear ... See full document

... the existence and approximation of the solutions of a nonlinear nonlocal three-point boundary value problem involving the forced Duffing equation with mixed ... See full document

... In this section, we prove the existence results for fractional differential equation (.) on the closed and bounded interval J = [, ] under both Lipschitz and Carathéodory condi- tions on the nonlinearities ... See full document

... of nonlinear boundary value problems for both continuous and discrete dynamical ...study nonlinear differential equations subject to two-point boundary conditions, while in Chapter 4 we ... See full document

... Al-Askar, “On the Existence of Positive Solutions for a Boundary Value Problem of Fracntional Order,” International Journal of Mathematical Analysis, Vol.. Lü, “Positive Solutions for Bo[r] ... See full document

... of boundary value problems for fractional order-differential equations is one of the rapidly developing branches of the general theory of differential ...to boundary values that are ...to ... See full document

... The rest of this paper is organized as follows, In Section 2, we present some definitions and back- ground results. For sake of convenience, we also state the fixed point theorems. In Section 3, we construct the Green’s ... See full document

... the existence and uniqueness of solutions for an impulsive mixed boundary value problem of nonlinear differential equations of fractional order are ... See full document

... the existence and approximation of the solutions for an initial and a periodic boundary value problem of nonlinear first order ordinary hybrid differential equations with a ... See full document

... prove existence of positive solutions to a nonlinear fractional boundary value problem involving a p-Laplacian ...the nonlinear term, we present two new Lyapunov-type ... See full document

... [, ] and the references therein. As far as we know, there are very few results devoted to weak solutions of nonlinear fractional differential equations [–]. Motivated by the above mentioned papers, ... See full document

... The remaining part of this paper is organized as follows. In Section 2, we introduce some basics of fractional derivative and the fixed point theorems which will be used in Section 3 to establish the existence of ... See full document

... mechanics, nonlinear dynamics and many other related ...of boundary value problems with p-Laplacian operator is gaining much importance and ...the existence of multiple positive ... See full document