[PDF] Top 20 Positive solutions for a system of fractional integral boundary value problem

... that fractional differential equation’s modeling capabilities in engineering, science, economy, and other fields, have resulted in a rapid development of the theory of fractional differential equations in the ... See full document

... The system (S) with λ = μ = , and with f (t, u, v) and g(t, u, v) replaced by f (t, v) and g(t, u), respectively, with the boundary conditions (BC), was studied in ...of positive solutions ... See full document

... Though boundary value problems for fractional differential equations have been extensively studied, most of the studies focus on scalar equations and the fractional order between 1 and ...for ... See full document

... existence and nonexistence of positive solutions for the integral boundary value problem (.)-(.) and the impact of the disturbance parameters a, b on the existence of ... See full document

... of fractional order differential equations has emerged as an important area of ...of positive solutions for fractional order differential equations satisfying initial (or) boundary ... See full document

... with integral boundary conditions arise naturally in thermal conduction prob- lems [], semiconductor problems [], hydrodynamic problems ...[]. Integral BCs (BCs de- notes boundary ... See full document

... Many papers in the literature also considered sign-changing nonlinearity problems; see [4, 5, 7–9, 13–19, 22–30, 34, 35, 38–52] and the references therein. In [15], the authors studied the fractional differential ... See full document

... about fractional differential equations have received much develop- ment, and many applications of fractional differential equations have appeared in some fields which include physics, engineering, biological ... See full document

... alent integral equation and then, by using some properties of its Green function and the Guo-Krasnoselskii fixed point theorem, we can obtain our first result asserting existence of nontrivial positive ... See full document

... of solutions for a boundary value problem involving Hadamard type fractional differential inclusions and integral boundary ... See full document

... lower solutions to the boundary value problem should exist, but constructs the specific form of the sym- metric upper and lower ...Liouville boundary value ... See full document

... finding positive solutions of boundary value problems is interest in various fields of sciences, fractional q-calculus equations has tremendous potential for ...nonhomogeneous ... See full document

... In [, ], Sun and Zhang discussed a class of singular superlinear and sublinear Sturm- Liouville problems, respectively. In the two papers, the Sturm-Liouville problems are considered under some conditions concerning ... See full document

... Riemann–Liouville fractional derivative, n – 1 < η ≤ n, η ≥ 4, 2 ≤ k ≤ n – 2, α, β, γ , δ > ...for positive solutions are derived in terms of different parameter ... See full document

... of integral order. There are several kinds of fractional derivatives, such as Riemann-Liouville fractional derivative, Marchaud fractional derivative, Caputo’s derivative, Griinwald-Letnikov ... See full document

... So boundary value problems for fractional q-difference equations have become of importance and the existence of positive solutions has been studied by a great number of researchers; see ... See full document

... and boundary value problems for nonlinear fractional differential equations arise from the study of models of viscoelasticity, control, porous media, ...of positive solutions for ... See full document

... In this section, we present the Avery-Peterson fixed point theorem and some lemmas. Theorem . ([]) Let P be a cone in a real Banach space E. Let γ and θ be nonnegative continuous convex functional on P. Let α be a ... See full document

... that fractional differential equations arise in the fields of science and engineer- ing such as physics, chemistry, mechanics, economics, and biological sciences, ...of fractional q-difference. These days the ... See full document

... Lemma 2.5 [9] Suppose that A : C[0, 1] → C[0, 1] is a completely continuous linear operator and A(P ) ⊂ P. If there exist ψ ∈ C[0, 1]\(−P) and a constant c > 0 such that cAψ ≥ ψ, then the spectral radius r(A) 6= 0 and ... See full document