[PDF] Top 20 Existence of positive solutions for Caputo fractional difference equation

... It is easy to see that y = y(t) is a solution of the FBVP () if and only if y = y(t) is a fixed point of T . We shall obtain sufficient conditions for the existence of fixed points of T. First, we notice that T is a ... See full document

... the existence of positive solutions for boundary value problem ...Several existence results for positive solutions in terms of different values of the parameter λ are ... See full document

... the existence of positive solutions of boundary value problems, the nonlinearity is usually nonnegative, see [6, 7, 9, 10, 16, 17, 20, 21, 24] and the references ... See full document

... The existence of positive solutions is considered for a fractional differential equation with p-Laplacian operator in this article. By employing the Avery-Henderson fixed point theorem, a ... See full document

... the existence and multiplicity of positive solutions for a class of systems of fractional differential equations with parameters, and we obtained the existence of at least one and two ... See full document

... where 2 < α ≤ 3, f : [0, 1] × [0, + ∞ ) × R → [0, + ∞ ) is continuous. In Sect. 2, we will give some necessary definitions of fractional q-calculus and deduce the new properties of the Green function. In Sect. ... See full document

... the existence of positive solutions for fractional equation models have been reported ...the fractional differential equation was ... 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

... four-point Caputo fractional differential equation with p-Laplacian ...the existence of positive solutions for the boundary value problem and get iterative schemes for ... See full document

... This paper is organized as follows. In Section , we provide basic definitions and demon- strate some lemmas in order to prove our main results. In Section , we establish some results for the existence of at least ... See full document

... Lemma . ([, ]) Let E be a Banach space. Suppose that S : E → E is a completely continuous linear operator and S(P) ⊂ P. If there exist ψ ∈ E \ { –P } and a constant c >  such that cSψ ≥ ψ , then the spectral ... See full document

... the existence of one or more positive solutions by using the cone theoretic techniques for this same boundary value ...classical existence and uniqueness theorems for second-order discrete ... See full document

... for fractional calculus itself, the fractional dif- ferential equations have been applied in many research fields, such as physics, chemistry, biology, control theory, economics, signal and image processing, ... See full document

... In this paper, we prove existence of positive solutions to a nonlinear fractional boundary value problem involving a p-Laplacian operator. Then, under some mild assumptions on the nonlinear ... See full document

... on existence of positive solutions of fractional differential equations is a rapidly growing area of ...of fractional cal- culus and fractional differential equations, one can see ... See full document

... 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 [–] and references ...several ... See full document

... the existence and uniqueness of positive solutions for a class of non- linear initial value problem for a finite fractional difference equation obtained by constructing the upper ... See full document

... nonlinear fractional differential equation boundary value problem are considered, some sufficient conditions for the nonexistence and existence of at least one or two positive solutions ... See full document

... the existence and at- tractivity of solutions for fractional difference ...crete fractional difference calculus and some ...the existence of equation ...the existence of ... See full document

... the existence 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