A Study of Caputo Sequential Fractional Differential Equations with Mixed Boundary Conditions
Universal Journal of Mathematics and ApplicationsIn this paper, we investigate the existence of solutions for a sequential fractional differential equation involving Caputo-type derivative subject to mixed boundary conditions.
Djourdem Habib, Djamel-eddine Hettadj
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Applications of Schauder's Fixed-point theorem with respect to iterated functional equations
Applied Mathematics Letters, 2001 The problem of existence and uniqueness of continuous solutions of the following iterative functional equation \[ G\bigl[ f^{n_0} (x), \dots,f^{n_k}(x) \bigr]= F(x),\;x\in[a,b],\tag{1} \] where \(G\) and \(F\) are known functions and \(f\) denotes the \(n\)th iteration of \(f\), is investigated.
Liu, Zeqing, Kang, Shin Min
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Mathematical Modelling and AnalysisWe investigate the existence, uniqueness and multiplicity of one-signed rotationally symmetric solutions of singular Dirichlet problems with the prescribed higher mean curvature operator in Minkowski spacetime.
Meiyu Liu, Minghe Pei, Libo Wang
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A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems [PDF]
, 2023 Gennaro Infante +2 more
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Existence and uniqueness of Solution for Boundary Value Problem of Fractional Order
Tikrit Journal of Pure ScienceIn this study, we investigate a class of fractional ordering and fractional derivative-based boundary value problems. and . There are four boundary value requirements in this equation.
Hozan Hilmi +2 more
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Almost-periodic solution for BAM neural networks [PDF]
Surveys in Mathematics and its Applications, 2009 In this paper, we study the existence and uniqueness solution and investigate the conditions that make it almost-periodic solution for BAM neural networks with retarded delays.
Hamid A. Jalab, Rabha W. Ibrahim
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Large time behavior of solutions to a system of coupled nonlinear oscillators via a generalized form of Schauder-Tychonoff fixed point theorem [PDF]
, 2022 Gheorghe Moroşanu +1 more
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An application of Schauder’s fixed point theorem with respect to higher order BVPs [PDF]
Proceedings of the American Mathematical Society, 1998 We shall provide conditions on the functionf(t,u1,⋯,un−1)f(t,u_{1},\cdots , u_{n-1}). The higher order boundary value problem({BVP}){(E) u(n)(t)+f(t,u(t),u(1)(t),⋯,u(n−2)(t))=0 for t∈(0,1) and n≥2, (BC) {u(i)(0)=0, 0≤i≤n−3, αu(n−2)(0)−βu(n−1)(0)=0, γu(n−2)(1)+δu(n−1)(1)=0\begin{equation*}\begin {cases}(E)~~ u^{(n)}(t)+ f(t, u(t),
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Well-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem [PDF]
, 2021 Mohammad Esmael Samei +4 more
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Schauder’s fixed-point theorem: new applications and a new version for discontinuous operators [PDF]
Boundary Value Problems, 2012 The author provides an application of Schauder's fixed-point theorem to the proof of existence of solutions for a class of discontinuous second-order scalar problems, a generalization of Schauder's fixed-point theorem for discontinuous operators, and its application to some Dirichlet problems.
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