排序方式: 共有150条查询结果,搜索用时 15 毫秒
1.
Devendra Kumar Jagdev Singh Dumitru Baleanu 《Mathematical Methods in the Applied Sciences》2020,43(1):443-457
The present article deals with a fractional extension of the vibration equation for very large membranes with distinct special cases. The fractional derivative is considered in Atangana-Baleanu sense. A numerical algorithm based on homotopic technique is employed to examine the fractional vibration equation. The stability analysis is conducted for the suggested scheme. The maple software package is utilized for numerical simulation. In order to illustrate the effects of space, time, and order of Atangana-Baleanu derivative on the displacement, the outcomes of this study are demonstrated graphically. The results revel that the Atangana-Baleanu fractional derivative is very efficient in describing vibrations in large membranes. 相似文献
2.
Al-Turki Yusuf A. Mebarek-Oudina Fateh Ahmadian Ali Baleanu Dumitru 《Journal of Thermal Analysis and Calorimetry》2021,144(6):2641-2652
Journal of Thermal Analysis and Calorimetry - In this paper, a 1D model of direct contact membrane distillation is presented in which all fluid properties are temperature-dependent. In addition, a... 相似文献
3.
Nguyen Van Hung Vo Minh Tam Dumitru Baleanu 《Mathematical Methods in the Applied Sciences》2020,43(7):4614-4626
In this paper, we consider a class of split mixed vector quasivariational inequality problems in real Hilbert spaces and establish new gap functions by using the method of the nonlinear scalarization function. Further, we obtain some error bounds for the underlying split mixed vector quasivariational inequality problems in terms of regularized gap functions. Finally, we give some examples to illustrate our results. The results obtained in this paper are new. 相似文献
4.
A discrete fractional logistic map is proposed in the left Caputo discrete delta’s sense. The new model holds discrete memory. The bifurcation diagrams are given and the chaotic behaviors are numerically illustrated. 相似文献
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6.
Xiao-Jun Yang H.M. Srivastava Ji-Huan He Dumitru Baleanu 《Physics letters. A》2013,377(28-30):1696-1700
In this Letter, we propose to use the Cantor-type cylindrical-coordinate method in order to investigate a family of local fractional differential operators on Cantor sets. Some testing examples are given to illustrate the capability of the proposed method for the heat-conduction equation on a Cantor set and the damped wave equation in fractal strings. It is seen to be a powerful tool to convert differential equations on Cantor sets from Cantorian-coordinate systems to Cantor-type cylindrical-coordinate systems. 相似文献
7.
We present a study of fractional configurations in gravity theories and Lagrange mechanics. The approach is based on a Caputo
fractional derivative which gives zero for actions on constants. We elaborate fractional geometric models of physical interactions
and we formulate a method of nonholonomic deformations to other types of fractional derivatives. The main result of this paper
consists of a proof that, for corresponding classes of nonholonomic distributions, a large class of physical theories are
modelled as nonholonomic manifolds with constant matrix curvature. This allows us to encode the fractional dynamics of interactions
and constraints into the geometry of curve flows and solitonic hierarchies. 相似文献
8.
Jagdev Singh Devendra Kumar Dumitru Baleanu Sushila Rathore 《Mathematical Methods in the Applied Sciences》2019,42(5):1588-1595
The key aim of the present study is to attain nondifferentiable solutions of extended wave equation by making use of a local fractional derivative describing fractal strings by applying local fractional homotopy perturbation Laplace transform scheme. The convergence and uniqueness of the obtained solution by using suggested scheme is also examined. To determine the computational efficiency of offered scheme, some numerical examples are discussed. The results extracted with the aid of this technique verify that the suggested algorithm is suitable to execute, and numerical computational work is very interesting. 相似文献
9.
Shrideh K. Q. Al‐Omari Dumitru Baleanu 《Mathematical Methods in the Applied Sciences》2019,42(2):541-552
In this article, various convolution theorems involving certain weight functions and convolution products are derived. The convolution theorems we obtain are more general, convenient, and efficient than the complicated convolution theorem of the Hartley transform. Further results involving new variants of generalizations of Fourier and Hartley transforms are also discussed. 相似文献
10.
Samer S. Ezz-Eldien Ramy M. Hafez Ali H. Bhrawy Dumitru Baleanu Ahmed A. El-Kalaawy 《Journal of Optimization Theory and Applications》2017,174(1):295-320
This paper reports a new numerical approach for numerically solving types of fractional variational problems. In our approach, we use the fractional integrals operational matrix, described in the sense of Riemann–Liouville, with the help of the Lagrange multiplier technique for converting the fractional variational problem into an easier problem that consisting of solving an algebraic equations system in the unknown coefficients. Several numerical examples are introduced, combined with their approximate solutions and comparisons with other numerical approaches, for confirming the accuracy and applicability of the proposed approach. 相似文献