Nonlocal differential equation
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This paper is devoted to study a fractional equation involving Caputo-Katugampola derivative with nonlocal initial condition. Unlike previous papers, in this paper, the source function of problem is assumed having a singularity.
9p vispyker 14-11-2022 7 2 Download
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In the paper "Remarks on decaying solutions to distributed order differential equations", we present results on the asymptotic behavior of the solutions to distributed order differential equations in Euclidean spaces. The paper develops some recent results in [1] on fractional differential equations to the case of more general nonlocal derivatives. We utilize the detailed behavior of the relaxation functions instead of the Mittag–Leffler functions. The typical decaying rate is logarithmic due to the ultra-slow phenomenon.
7p runordie3 27-06-2022 13 2 Download
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The objectives of this dissertation are to study the asymptotic behavior of solutions of these nonlocal problems via the existence of (its finite dimensional) global attractors, and the existence and exponential stability of stationary solutions.
112p thebadguys 08-06-2021 15 2 Download
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The objectives of this dissertation are to study the asymptotic behavior of solutions of these nonlocal problems via existence of (its finite dimensional) global attractors, and the existence and exponential stability of stationary solutions.
25p thebadguys 08-06-2021 16 3 Download
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In this paper, we present a result on Hyers-Ulam stability for a class of nonlocal differential equations in Hilbert spaces by using the theory of integral equations with completely positive kernels together with a new Gronwall inequality type. The paper develops some recent results on fractional differential equations to the ones involving general nonlocal derivatives. Instead of Mittag-Leffler functions, we must utilize the characterization of relaxation function.
7p tamynhan5 10-12-2020 11 2 Download
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Motivated by the fact that the fractional Laplacean generates a wider choice of the interpolation curves than the Laplacean or bi-Laplacean, we propose a new non-local partial differential equation inspired by the Cahn-Hilliard model for recovering damaged parts of an image. We also note that our model is linear and that the computational costs are lower than those for the standard Cahn-Hilliard equation, while the inpainting results remain of high quality.
10p dayhoctainha 10-09-2020 17 0 Download
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MAXIMAL REGULAR BOUNDARY VALUE PROBLEMS IN BANACH-VALUED WEIGHTED SPACE RAVI P. AGARWAL, MARTIN BOHNER, AND VELI B. SHAKHMUROV Received 10 July 2004 This study focuses on nonlocal boundary value problems for elliptic ordinary and partial differential-operator equations of arbitrary order, defined in Banach-valued function spaces. The region considered here has a varying bound and depends on a certain parameter.
34p sting12 10-03-2012 35 4 Download
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NONSMOOTH AND NONLOCAL DIFFERENTIAL EQUATIONS IN LATTICE-ORDERED BANACH SPACES ¨ SIEGFRIED CARL AND S. HEIKKILA Received 7 September 2004 We derive existence results for initial and boundary value problems in lattice-ordered Banach spaces. The considered problems can be singular, functional, discontinuous, and nonlocal. Concrete examples are also solved. 1. Introduction In this paper, we apply fixed point results for mappings in partially ordered function spaces to derive existence results for initial and boundary value problems in an ordered Banach space E.
15p sting12 10-03-2012 27 3 Download
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Impulsive differential equations with nonlocal conditions in general Banach spaces
22p sting06 16-02-2012 43 3 Download
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Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: Research Article Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions
19p dauphong15 16-02-2012 48 3 Download
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Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: Research Article Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions
10p dauphong15 16-02-2012 56 4 Download
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type
10p sting06 13-02-2012 40 3 Download
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order
16p sting05 10-02-2012 43 5 Download
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Existence and multiplicity of positive solutions for a nonlocal differential equation
11p dauphong12 08-02-2012 40 5 Download
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Abstract fractional integro-differential equations involving nonlocal initial conditions in a-norm
16p sting04 07-02-2012 38 2 Download
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Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí sinh học đề tài : Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
9p dauphong11 06-02-2012 43 2 Download