[PDF] Top 20 A coupled fixed point theorem and application to fractional hybrid differential problems

... Perturbation techniques are useful in the nonlinear analysis for studying the dynamical systems represented by nonlinear differential and integral equations. Evidently, some dif- ferential equations representing a certain ... See full document

... common coupled fixed point theorem for hybrid pair of map- pings under weak ψ − ϕ contraction on a non-complete metric space, which is not partially ...find coupled coincidence ... See full document

... [4] C.Z. Bai, J.X. Fang: The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations, Applied Mathematics and Computation, Vol. 150, Iss. 3, pp. ... See full document

... The article is organized as follows. In Section 2 we give some preliminaries and key fixed point theorem that will be used in later sections. In Section 3 we prove some sufficient conditions of the ... See full document

... Theorem 4.2. Assume that(H1), (H4) and (H5) hold. Then the fractional BVP (1.1) has at least one solution on J . Proof. Transform the fractional BVP (1.1) into a fixed point problem. ... See full document

... Banach fixed point theorem and the nonlinear alternative of Leray-Schauder type, Benchohra et ...value problems of ( 0    1 ) order fractional equations with in finite delay and ... See full document

... The Fixed points have long been used in analysis to solve various kinds of partial differential equa- tions , ordinary differential equations and integral equations [3] ...in differential ... See full document

... of fractional order boundary value problems associated with p-Laplacian ...value problems with p-Laplacian operator by applying the fixed point index ...p-Laplacian fractional ... See full document

... on coupled systems of frac- tional differential equations, we consider the existence and uniqueness of solutions of cou- pled system ()-() by means of the Banach contraction principle and Krasnoselskii’s fixed ... See full document

... the fixed point ...Leggett-Williams fixed point ...the fractional order BVP (1)-(2). In Section 5, as an application, we demonstrate our results with some ... See full document

... Theorem . ensures that operator T has at least one fixed point. In consequence, Eq. () has at least one continuous solution u defined on [,δ], where δ >  and δ ≤ . Corollary . Under the conditions ... See full document

... I.: Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their ...the Fractional Calculus and ... See full document

... for t ∈ {a + µ , a + µ + 1, . . .} := N a+µ . Also define the µ th fractional difference for µ > 0 by ∆ µ f (t) := ∆ N ∆ µ−N f (t), where t ∈ N a+µ and µ ∈ N is chosen so that o ≤ N − 1 < µ ≤ N. Lemma 1.3. ... See full document

... For all x, y, u, v, w, zϵ X with suppose also is complete, f has the mixed g-monotone property, . If there exist such that g ≤ f And f .then f and g have a coupled coincident point. ... See full document

... In 1942, Menger [1] introduced the notion of a probabil- istic metric space (PM-space) which was, in fact, a gener- alization of metric space. The idea in probabilistic metric space is to associate a distribution ... See full document

... In this paper, by modifying the conditions on the result of Choudhury et al. [], we give a new coupled coincidence fixed point theorem in partial order fuzzy metric spaces. In our result, we do not ... See full document

... fixed point theorems, see [, , –], are all for the monotone ...fixed point theorems ob- tained in [, , –] to the mixed monotone mapping in partially ordered metric ...the coupled fixed ... See full document

... A locally convex space is a topological vector space  X ,   admitting a neighbourhood basis at 0 formed by convex sets. It follows that every point in X admits a neighbourhood basis formed of convex sets and ... See full document

... [11] S. Wang, G. Marino and F. Wang, “Strong convergence theorems for a generalized equilibrium problem with a relaxed monotone mapping and a countable family of nonexpansive mappings in a Hilbert space,” Fixed ... See full document

... Theorem 1.1. Let (X, ≤, d) be a partially ordered set and suppose there is a metric d on X such that (X, d) is a complete metric space. Suppose F : X × X × X → X such that F has the mixed monotone property and ... See full document