共查询到20条相似文献，搜索用时 15 毫秒
1.
《Mathematical Methods in the Applied Sciences》2018,41(10):3841-3855
In this paper, we construct a new fractional weighted reproducing kernel space, which is the minimum space containing the exact solution. The closed form of the reproducing kernel is obtained. Using this fractional reproducing kernel space, a class of fractional integro‐differential equations with a weakly singular kernel is solved. The error estimation is given. The final numerical experiments demonstrate the correctness of the theory and the effectiveness of the method. 相似文献
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3.
An algorithm is developed which ranks the feasible solutions of an integer fractional programming problem in decreasing order of the objective function values.
Zusammenfassung Es wird ein Algorithmus angegeben, der die zulässigen Lösungen eines ganzzahligen Quotientenprogrammes nach fallenden Zielfunktionswerten liefert.相似文献
4.
This article is concerned with the ill-posed Cauchy problem associated with a densely defined linear operator A in a Banach space. A family of weak regularizing operators is introduced. If the spectrum of A is contained in a sector of right-half complex plane and its resolvent is polynomially bounded, the weak regularization for such ill-posed Cauchy problem can be shown by using the quasi-reversibility method and regularized semigroups. Finally, an example is given. 相似文献
5.
In this paper, we concern with the following fractional p‐Laplacian equation with critical Sobolev exponent where ε > 0 is a small parameter, λ > 0 , N is a positive integer, and N > ps with s ∈ (0, 1) fixed, . Since the nonlinearity does not satisfy the following Ambrosetti‐Rabinowitz condition: with μ > p , it is difficult to obtain the boundedness of Palais‐Smale sequence, which is important to prove the existence of positive solutions. In order to overcome the above difficulty, we introduce a penalization method of fractional p‐Laplacian type. 相似文献
6.
Hemant Kumar Nashine 《Numerical Functional Analysis & Optimization》2019,40(12):1448-1466
We set up the existence of a symmetric outcome of a system of simultaneous nonlinear fractional integral equations, that arises in motion of water wave on smooth surface, with the help of a common fixed point theorem satisfying a generalized FG-contractive condition. To accomplish this, we introduce first the concept of generalized FG-contractive condition for two pairs of self-mappings in a complete metric space and then we establish requisites for common fixed point results for weakly compatible mappings followed by a suitable example. 相似文献
7.
ＡＦｉｘｅｄＰｏｉｎｔＴｈｅｏｒｅｍｆｏｒＩｎｃｒｅａｓｉｎｇＯｐｅｒａｔｏｒｓｉｎＢａｎａｃｈＳｐａｃｅｓ￥ＬｉＦｅｎｇｙｏｕ李凤友（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＴｉａｎｊｉｎＮｏｍａｌｕｎｉｖｅｒｓｉｔｙ，３０００７３．Ｐ．Ｒ... 相似文献
8.
Lakshmi Narayan Mishr Shiv Kant Tiwari Vishnu Narayan Mishra 《Journal of Applied Analysis & Computation》2015,5(4):600-612
In this paper, we establish some unique xed point theorems for generalized weakly S-contractive with nondecreasing and weakly increasing mappings in complete partial metric space. Also, we give some examples for strengthens of our main results. 相似文献
9.
Akbar Mohebbi 《Mathematical Methods in the Applied Sciences》2017,40(18):7627-7639
In this paper, we develop a high‐order finite difference scheme for the solution of a time fractional partial integro‐differential equation with a weakly singular kernel. The fractional derivative is used in the Riemann‐Liouville sense. We prove the unconditional stability and convergence of scheme using energy method and show that the convergence order is . We provide some numerical experiments to confirm the efficiency of suggested scheme. The results of numerical experiments are compared with analytical solutions to show the efficiency of proposed scheme. It is illustrated that the numerical results are in good agreement with theoretical ones. 相似文献
10.
非连续弱紧增算子的不动点及其对Banach空间初值问题的应用 总被引：8，自引：1，他引：7
证明了Banach空间上一类非连续的弱紧增算子的不动点定理,特别获得了最大不动点与最小不动点的存在性,改进了已有的某些结果.作为应用,讨论了Banach空间中含间断项的常微分方程初值问题最大解与最小解的存在性. 相似文献
11.
提出了一种只需要存储部分历史数据的分数积分的数值计算方法,并给出了误差估计。这种方法可对包含分数积分和分数导数的积分-微分方程进行较长时间的数值计算,克服了存储全部历史数据的困难,并能对计算误差进行控制。作为应用,给出了具有分数导数型本构关系的粘弹性Timoshenko梁的动力学行为研究的控制方程,利用分离变量法讨论梁在简谐激励作用下的动力响应,然后用新提出的数值方法对控制方程进行数值计算,数值计算结果和理论结果进行了比较,它们比较吻合。 相似文献
12.
Arturas Dubickas 《Siberian Mathematical Journal》2006,47(5):879-882
Let ξ ≠ = 0 and α > 1 be reals. We prove that the fractional parts {ξ αn}, n = 1, 2, 3, ..., take every value only finitely many times except for the case when α is the root of an integer: α = q 1/d, where q ≥ 2 and d ≥ 1 are integers and ξ is a rational factor of a nonnegative integer power of α. 相似文献
13.
This paper derives several results regarding the optimality conditions and duality properties for the class of multiobjective
fractional programs under generalized convexity assumptions. These results are obtained by applying a parametric approach
to reduce the problem to a more conventional form. 相似文献
14.
In this paper, we are concerned with the existence of positive solutions for the following nonlocal BVP of fractional DEs with p‐Laplacian operator By using the fixed point theorem in a cone, multiplicity solutions of the BVP are obtained. An example is also given to show the effectiveness of the obtained result. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
15.
We introduce, in this paper, the right weakly p.p. rings as the generalization of right p.p. rings. It is shown that many properties of the right p.p. rings can be extended onto the right weakly p.p. rings. Relative examples are constructed. As applications, we also characterize the regular rings and the semisimple rings in terms of the right weakly p.p. rings. 相似文献
16.
The mixed-integer quadratically constrained quadratic fractional programming (MIQCQFP) problem often appears in various fields such as engineering practice, managementscience and network communication. However, most of the solutions to such problemsare often designed for their unique circumstances. This paper puts forward a new globaloptimization algorithm for solving the problem MIQCQFP. We first convert the MIQCQFP into an equivalent generalized bilinear fractional programming (EIGBFP) problemwith integer variables. Secondly, we linearly underestimate and linearly overestimate thequadratic functions in the numerator and the denominator respectively, and then givea linear fractional relaxation technique for EIGBFP on the basis of non-negative numerator. After that, combining rectangular adjustment-segmentation technique and midpoint-sampling strategy with the branch-and-bound procedure, an efficient algorithm for solvingMIQCQFP globally is proposed. Finally, a series of test problems are given to illustratethe effectiveness, feasibility and other performance of this algorithm. 相似文献
17.
Tingting Xue Wenbin Liu Tengfei Shen 《Mathematical Methods in the Applied Sciences》2019,42(12):4394-4407
The paper is concerned with the solvability for several nonlinear boundary value problems of fractional p‐Laplacian differential equation involving the right‐handed Riemann‐Liouville derivative. By applying monotone iterative technique, lower and upper solutions method and the Banach fixed point theorem, sufficient conditions for existence and uniqueness of extremal solutions are obtained and they extend existing results. At last, two examples are provided to illustrate the results. 相似文献
18.
某些局部凸空间上相对弱紧集，相对弱列紧集，相对弱可数紧集的关系 总被引：3，自引：0，他引：3
对可分离的局部凸空间（Ｘ,τ）,本文建立了相应的局部凸空间（Ｑｘ,Ｔｘ）,利用它证明了当（Ｘ,τ）满足某些条件时（赋范空间满足这些条件）,ＥＸ相对弱紧Ｅ相对弱列紧Ｅ相对弱可数紧,从而推广了Ｅｂｅｒｌｅｉｎ等人的工作,证明了在空间Ｄ（Ｒ￣ｎ）,（Ｒ￣ｎ）和Ｄ＿（ＬＰ）,１＜ｐ＜∞上前述三种弱紧性等价． 相似文献
19.
Hamid Mortazaasl Ali Asghar Jodayree Akbarfam 《Mathematical Methods in the Applied Sciences》2021,44(1):166-195
In this paper, we investigate in more detail some useful theorems related to conformable fractional derivative (CFD) and integral and introduce two classes of conformable fractional Sturm‐Liouville problems (CFSLPs): namely, regular and singular CFSLPs. For both classes, we study some of the basic properties of the Sturm‐Liouville theory. In the class of r‐CFSLPs, we discuss two types of CFSLPs which include left‐ and right‐sided CFDs, each of order α∈(n,n+1], and prove properties of the eigenvalues and the eigenfunctions in a certain Hilbert space. Also, we apply a fixed‐point theorem for proving the existence and uniqueness of the eigenfunctions. As an operator for the class of s‐CFSLPs, we first derive two fractional types of the hypergeometric differential equations of order α∈(0,1] and obtain their analytical eigensolutions as Gauss hypergeometric functions. Afterwards, we define the conformable fractional Legendre polynomial/functions (CFLP/Fs) as Jacobi polynomial and investigate their basic properties. Moreover, the conformable fractional integral Legendre transforms (CFILTs) based on CFLP/Fs‐I and ‐II are introduced, and using these new transforms, an effective procedure for solving explicitly certain ordinary and partial conformable fractional differential equations (CFDEs) are given. Finally, as a theoretical application, some fractional diffusion equations are solved. 相似文献
20.
Elham Keshavarz Yadollah Ordokhani 《Mathematical Methods in the Applied Sciences》2019,42(13):4427-4443
In this paper, a fast numerical algorithm based on the Taylor wavelets is proposed for finding the numerical solutions of the fractional integro‐differential equations with weakly singular kernels. The properties of Taylor wavelets are given, and the operational matrix of fractional integration is constructed. These wavelets are utilized to reduce the solution of the given fractional integro‐differential equation to the solution of a linear system of algebraic equations. Also, convergence of the proposed method is studied. Illustrative examples are included to demonstrate the validity and applicability of the technique. 相似文献