共查询到20条相似文献,搜索用时 406 毫秒
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Mohammad Esmael Samei Wengui Yang 《Mathematical Methods in the Applied Sciences》2020,43(7):4360-4382
We prove the existence and uniqueness of solutions for a -dimensional system of multi-term fractional -integro-differential equations via anti-periodic boundary conditions by using some well-known tools of fixed point technique such as Arzelà–Ascoli theorem. We firstly give the corresponding Green function for the boundary value problem and some of its attributes. In addition to, we give a numeric method to verify the analysis for checking the existence of a solution of the system. Finally, an interesting example is presented to illustrate the results. 相似文献
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Manish Kumar Bansal Devendra Kumar K. S. Nisar Jagdev Singh 《Mathematical Methods in the Applied Sciences》2020,43(8):5602-5614
In this paper, we study certain interesting and useful properties of incomplete -functions. The incomplete -function is an extension of the -function. We find several useful classical integral transforms of these functions. Further, we examine the fractional calculus with the incomplete -functions and point out several special cases. Finally, we give the applications of incomplete -functions in detecting glucose supply in human blood. 相似文献
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Antonios Charalambopoulos Vanessa Markaki Drosos Kourounis 《Mathematical Methods in the Applied Sciences》2020,43(8):5032-5072
In this work, a novel approach for the solution of the inverse conductivity problem from one and multiple boundary measurements has been developed on the basis of the implication of the framework of functions. The space of the functions of bounded variation is recommended here as the most appropriate functional space hosting the conductivity profile under reconstruction. For the numerical investigation of the inversion of the inclusion problem, we propose and implement a suitable minimization scheme of an enriched—constructed herein—functional, by exploiting the inner structure of space. Finally, we validate and illustrate our theoretical results with numerical experiments. 相似文献
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Natasha Samko 《Mathematical Methods in the Applied Sciences》2020,43(16):9416-9434
We find conditions for the boundedness of integral operators commuting with dilations and rotations in a local generalized Morrey space. We also show that under the same conditions, these operators preserve the subspace of such Morrey space, known as vanishing Morrey space. We also give necessary conditions for the boundedness when the kernel is non-negative. In the case of classical Morrey spaces, the obtained sufficient and necessary conditions coincide with each other. In the one-dimensional case, we also obtain similar results for global Morrey spaces. In the case of radial kernels, we also obtain stronger estimates of via spherical means of . We demonstrate the efficiency of the obtained conditions for a variety of examples such as weighted Hardy operators, weighted Hilbert operator, their multidimensional versions, and others. 相似文献
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Dong Zhang Zhenwei Guo Gang Wang Tongsong Jiang 《Mathematical Methods in the Applied Sciences》2020,43(6):3513-3523
Due to the rise of commutative quaternion in Hopfield neural networks, digital signal, and image processing, one encounters the approximate solution problems of the commutative quaternion linear equations and . This paper, by means of real representation and complex representation of commutative quaternion matrices, introduces concepts of norms of commutative quaternion matrices and derives two algebraic techniques for finding solutions of least squares problems in commutative quaternionic theory. 相似文献
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José Vanterler da C. Sousa Gastão S. F. Frederico Daniela S. Oliveira Edmundo Capelas de Oliveira 《Mathematical Methods in the Applied Sciences》2023,46(1):930-960
This paper is divided into two stages. In the first stage, we investigated a new approach for the -Riemann–Liouville fractional integral and the Faa di Bruno formula for the -Hilfer fractional derivative. In addition, we discussed other properties involving the -Hilfer fractional derivative and the -Riemann–Liouville fractional integral. In the second stage, Bernstein polynomials involving the function are investigated and the -Riemann–Liouville fractional integral and -Hilfer fractional derivative from the Bernstein polynomials are evaluated. We also discussed the relationship between the -Hilfer fractional derivative with Laguerre polynomials and hypergeometric functions, and a version of the fractional mean value theorem with respect to a function. Motivated by the Bernstein polynomials, the second stage uses the Bernstein polynomials to approximate the solution of a fractional integro-differential equation with Hilfer fractional derivative and concluding with a numerical approach with its respective graph. 相似文献
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A graph with at least vertices is said to be distance -extendable if, for any matching of with edges in which the edges lie at distance at least pairwise, there exists a perfect matching of containing . In this paper we prove that every 5-connected triangulation on the projective plane of even order is distance 3 7-extendable and distance 4 -extendable for any . 相似文献