[PDF] Top 20 Fractional boundary value problems with \(p(t)\) Laplacian operator

... Fractional differential equations have been applied in many research fields in recent years (see [–]). Leszczynski and Blaszczyk [] studied the following fractional mathematical model, which can be used to ... See full document

... This paper is concerned with the existence of solutions to a discrete fractional boundary value problem with a p-Laplacian operator. Under certain nonlinear growth conditions of ... See full document

... of fractional bound- ary value problem with p-Laplacian ...the p-Laplacian operator and the Banach contraction mapping principle, we get some unique- ness results of ... See full document

... In this paper, the existence of the solutions of the fractional differential equation with p-Laplacian operator and integral conditions is discussed. By Green’s functions and the fixed point ... See full document

... The fractional calculus is a generalization of the ordinary differentiation and integration on an arbitrary order that can be ...the fractional differential equations have been ...initial value ... See full document

... that p(t) = p herein, meaning it could be the famous p-Laplacian op- ...the p(t)-Laplacian operator is a nonlinear operator, it is more difficult to ... See full document

... for boundary-value problem on time scales has be- come the focus in recent years; for details, see ...for fractional derivatives boundary- value problem [7–21] and the references ...the ... See full document

... four-point fractional boundary value problems with the p-Laplacian ...the fractional differential equation with the p- Laplacian ... See full document

... definitions and results. For α > , choose n = [α] +  in the case α is not an integer and n = α in the case α is an integer. We recall the following definitions of a fractional order integral and a ... See full document

... For the uniqueness of solution for fractional differential equation (2.24), we apply theorem (2.6). In equation (2.24), we have α = β = 2.5, ξ = γ = 1/2, a(t) = t, f (u(t)) = √ u(t) it ... See full document

... where D η–2 0+ , D k–2 0+ are the standard Riemann–Liouville fractional derivative, n – 1 < η ≤ n, η ≥ 4, 2 ≤ k ≤ n – 2, α, β, γ , δ > 0. 0 1 u(s) dA(s) and 0 1 u(s) dB(s) denote the Riemann– Stieltjes ... See full document

... u(0) = 0, u(1) + σ D γ 0+ u(1) = 0, D α 0+ u(0) = 0, (1:5) where D β 0+ , D α 0+ and D γ 0+ are the standard Riemann-Liouville derivative with 1 <a ≤ 2, 0 <b ≤ 1, 0 <g ≤ 1, 0 ≤ a - g - 1, the constant s is a ... See full document

... of fractional order equation is seldom considered and ...of boundary value problem of fractional differential equation with p- Laplacian operator as ... See full document

... models. Fractional calculus is the field of mathematical analysis, which deals with investigation and applications of derivatives and inte- grals of an arbitrary ...such problems. In this theory, the most ... See full document

... According to the related literature [–], a φ-Laplacian operator is said to be singular when the domain of φ is finite (i.e., a < + ∞ ), on the contrary the operator is called reg- ular. On the ... See full document

... Ax t − Ax t = ∫ G t s G t s f s x s − s ≤ ε M Then, through the Arzela-Ascoli theorem, the operator A is compact on D ...The operator A is Frechét differentiable at ∞ , and A ′ ∞ ... See full document

... the p-Laplacian equations or the fractional differ- ential equations have been ...about boundary value problems (BVPs for short) for the frac- tional differential equations with ... See full document

... antiperiodic problems have been studied extensively by numerous ...antiperiodic boundary value problems for impulsive differential equations see 13, and antiperiodic wavelets were discussed in ... See full document

... the fractional derivative have emerged over the years (see [, ]), and in this paper we restrict our attention to the use of the Caputo fractional ... See full document

... about boundary value problems did not involve the singularity of G(t, ...following p-Laplacian fractional differential equation bound- ary value ... See full document