[PDF] Top 20 Positive solutions for fractional difference equations using fixed point theorem
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Positive solutions for fractional difference equations using fixed point theorem
... 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 ... See full document
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Existence of positive solutions for a system of Caputo fractional difference equations depending on parameters
... 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 two ... See full document
14
Transformation technique, fixed point theorem and positive solutions for second order impulsive differential equations with deviating arguments
... fixed point theorems in cones [–], the method of lower and upper solutions [, ], the theory of critical point theory and variational methods [, , –] and the technique via appropriate ... See full document
20
Positive solutions for boundary value problems of fractional difference equations depending on parameters
... We point out that fractional difference equations have been extensively studied in recent ...discrete fractional boundary value problems are also ...of positive solutions for ... See full document
14
A positive fixed point theorem with applications to systems of Hammerstein integral equations
... We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to ... See full document
10
MULTIPLE POSITIVE SOLUTIONS FOR A SYSTEM OF FRACTIONAL HIGHER-ORDER INFINITE-POINT BOUNDARY VALUE PROBLEMS
... multiple positive solutions for a system of nonlinear fractional order infinite-point boundary value prob- ...a fixed point theorem of the cone expansion and compression ... See full document
13
Existence of Positive Solutions for a Coupled System of (p, q)-Laplacian Fractional Higher Order Boundary Value Problems
... three positive solutions for a system of (p, q)-Laplacian fractional order two-point boundary value problems by applying five functionals fixed point theorem under ... See full document
14
New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions
... a fixed- point theorem in ...one positive solution of boundary value problem ...m positive solutions, where m is an arbitrary natural ...of positive solution of boundary ... See full document
20
Positive Solutions for Systems of Nonlinear Singular Differential Equations
... ABSTRACT: By constructing a special cone and using the fixed point theorem of cone expansion and compression, this paper shows the existence of positive solutions for two-poin[r] ... See full document
6
Existence and attractivity of solutions for fractional difference equations
... In this paper, we study a kind of difference equations with Riemann–Liouville-like fractional difference. The results on existence and attractivity are obtained by using the Picard iteration method and ... See full document
15
Uniqueness of positive solutions for the singular fractional differential equations involving integral boundary value conditions
... of positive solutions by means of Krasnosel’skii’s fixed ...fixed point theorem of the mixed monotone operator, Zhang et ...of positive solutions for the fractional ... See full document
18
Existence and multiplicity of positive solutions for a system of fractional differential equation with parameters
... by using the Krasnosel’skii fixed point theorem for a cone map, we stud- ied the existence and multiplicity of positive solutions for a class of systems of fractional differential ... See full document
12
The positive solutions of infinite point boundary value problem of fractional differential equations on the infinite interval
... one positive solution for each λ ∈ [, λ ∗ ], two positive solutions for any λ ∈ (, λ ∗ ), and no positive solutions for λ ∈ (λ ∗ , ... See full document
21
Existence of positive solutions of singular fractional differential equations with infinite point boundary conditions
... The rest of this paper is organized as follows. In Section , we introduce some prelimi- naries and relevant lemmas. In Section , we apply the fixed-point theorem to study the existence of positive ... See full document
9
Fixed Point Theorem and Fractional Differential Equations with Multiple Delays Related with Chaos Neuron Models
... a fixed point theorem which deduces to both of Lou’s fixed point theorem and de Pascale and de Pascale’s fixed point ...of solutions for fractional ... See full document
7
Study on the Existence of Sign Changing Solutions of Case Theory Based a Class of Differential Equations Boundary Value Problems
... By using the fixed point theorem under the case structure, we study the exis- tence of sign-changing solutions of A class of second-order differential equa- tions three-point ... See full document
6
Existence and multiplicity of positive solutions for a class of fractional differential equations with three point boundary value conditions
... u ∈ K with ρ < u < τ by the properties of index. Hence, the boundary value problem (.)-(.) has at least one positive solution on [, ]. The proof is completed. Now we study the multiplicity of ... See full document
19
Positive periodic solutions for nonlinear difference equations via a continuation theorem
... By a solution of (1.4), we mean a function y(t) which is defined on R and which satis- fies the following conditions [1]: (i) y(t) is continuous on R ; (ii) the derivative y (t) ex- ists at each point t ∈ R with ... See full document
10
Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay
... impulsive fractional integro-differential evolution equations with infinite delay, by means of Monch fixed point theorem and Kuratowski measure of noncompactness, ... See full document
11
The existence and Hyers–Ulam stability of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order \(1<\beta<2\)
... Lemma 2.5 (see [17]) Let D be a closed convex subset of the Banach space B and 0 ∈ D. Assume that F : D → B is a continuous map which satisfies Mönch’s condition, that is, M ⊆ D is countable, M ⊆ co(0 ∪ F(M)) ⇒ M is ... See full document
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