Results 21 to 30 of about 20,962 (157)

Monotone iterative procedure and systems of a finite number of nonlinear fractional differential equations [PDF]

, 2015
The aim of the paper is to present a nontrivial and natural extension of the comparison result and the monotone iterative procedure based on upper and lower solutions, which were recently established in (Wang et al. in Appl. Math. Lett.
A Babakhani, AA Kilbas, B Ahmad, C Bai, Dariusz Wardowski, FA McRae, G Wang, H Jafari, I Podlubny, M Belmekki, M Belmekki, M El-Shahed, MP Lazarevi, S Bhalekar, S Zhang, S Zhang, SG Samko, V Daftardar-Gejji, V Gafiychuk, V Lakshmikantham, V Lakshmikanthan, X Su, Y Chen, Z Wei, ZB Bai, ZB Bai   +25 more
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Computer Simulation and Iterative Algorithm for Approximate Solving of Initial Value Problem for Riemann-Liouville Fractional Delay Differential Equations

Mathematics, 2020
The main aim of this paper is to suggest an algorithm for constructing two monotone sequences of mild lower and upper solutions which are convergent to the mild solution of the initial value problem for Riemann-Liouville fractional delay differential ...
Snezhana Hristova, Kremena Stefanova, Angel Golev   +2 more
doaj   +1 more source

Monotone Iterative Techniques for Time-Dependent Problems with Applications

Journal of Mathematical Analysis and Applications, 1999
The authors use the theory of positive semigroups to develop a monotone iterative technique in the spirit of the paper of \textit{J. J. Nieto} [Nonlinear Anal., Theory Methods Appl. 28, No. 12, 1923-1933 (1997; Zbl 0883.47058)] for the time-dependent nonlinear abstract problem \[ u'(t)=Au(t)+N(t)u(t), t\in J;\quad u(0)=\phi_{0}, \] with \(J=[0, T_{0})\)
Liu, Xinzhi, Sivaloganathan, S., Zhang, Shenghai   +2 more
openaire   +1 more source

Discrete monotone method for space-fractional nonlinear reaction–diffusion equations

Advances in Difference Equations, 2019
A discrete monotone iterative method is reported here to solve a space-fractional nonlinear diffusion–reaction equation. More precisely, we propose a Crank–Nicolson discretization of a reaction–diffusion system with fractional spatial derivative of the ...
Salvador Flores, Jorge E. Macías-Díaz, Ahmed S. Hendy   +2 more
doaj   +1 more source

Monotone iterative techniques together with Hyers‐Ulam‐Rassias stability

Mathematical Methods in the Applied Sciences, 2019
In this article, the first purpose is treating a coupled system of nonlinear boundary value problems (BVPs) of fractional‐order differential equations (FODEs) for existence of solutions. The corresponding fractional‐order derivative is taken in Riemann‐Liouville sense. The require results for iterative solutions are obtained by using monotone iterative
Kamal Shah, Liaqat Shah, Saeed Ahmad, John Michael Rassias, Yongjin Li   +4 more
openaire   +3 more sources

New construction and proof techniques of projection algorithm for countable maximal monotone mappings and weakly relatively non-expansive mappings in a Banach space

Journal of Inequalities and Applications, 2018
In a real uniformly convex and uniformly smooth Banach space, some new monotone projection iterative algorithms for countable maximal monotone mappings and countable weakly relatively non-expansive mappings are presented.
Li Wei, Ravi P. Agarwal
doaj   +1 more source

The uniqueness and iterative properties of solutions for a general Hadamard-type singular fractional turbulent flow model

Nonlinear Analysis, 2022
In this paper, we consider the iterative properties of positive solutions for a general Hadamard-type singular fractional turbulent flow model involving a nonlinear operator.
Xinguang Zhang, Pengtao Xu, Yonghong Wu, Benchawan Wiwatanapataphee   +3 more
doaj   +1 more source

A comparison of numerical splitting-based methods for Markovian dependability and performability models [PDF]

, 1998
Iterative numerical methods are an important ingredient for the solution of continuous time Markov dependability models of fault-tolerant systems. In this paper we make a numerical comparison of several splitting-based iterative methods. We consider the
Carrasco, Juan A., Suñé, Víctor
core   +1 more source

Iterative Solutions for the Differential Equation with p-Laplacian on Infinite Interval

Journal of Function Spaces, 2021
This paper systematically investigates a class of fourth-order differential equation with p-Laplacian on infinite interval in Banach space. By means of the monotone iterative technique, we establish not only the existence of positive solutions but also ...
Guoying Zhao, Ying Wang
doaj   +1 more source

A new steplength selection for scaled gradient methods with application to image deblurring [PDF]

, 2015
Gradient methods are frequently used in large scale image deblurring problems since they avoid the onerous computation of the Hessian matrix of the objective function.
Porta, Federica, Prato, Marco, Zanni, Luca   +2 more
core   +2 more sources