Titlebook: Mathematical Methods in Engineering; Theoretical Aspects Kenan Taş,Dumitru Baleanu,J. A. Tenreiro Machado Book 2019 Springer International

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Nonlinear Systems and Complexityhttp://image.papertrans.cn/m/image/626258.jpg

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Exact Solutions, Lie Symmetry Analysis and Conservation Laws of the Time Fractional Diffusion-Absorpors is singled out in order to extract an invariant solution in a special domain. Conservation laws of TFDA equation are considered by a developed version of Ibragimov’s method. Then the invariant subspace method is used to construct its exact solutions.

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https://doi.org/10.1007/978-3-319-91065-9Engineering Mathematics; partial metric spaces; spectral expansions; Irregularity in Graphs and Inverse

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Advances on Fixed Point Results on Partial Metric SpacesIn this note, we shall consider recent advances and improvements on fixed point theory in the setting of partial metric spaces. We investigate the existence and uniqueness of several distinct type contractive mapping in the context of complete partial metric space. We also recollect sum existing results to give complete survey for this topic.

STRIA

On the Existence of Solution for a Sum Fractional Finite Difference InclusionBy using a recent fixed point result for .-admissible .-. multifunctions, we investigate the existence of solutions for the fractional finite difference inclusion . with the boundary conditions .(.) = 0 and .(. + . + 2) = 0, where 1 < . ≤ 2, 0 < . ≤ 1, 3 < . ≤ 4 and . is a compact valued multifunction.

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The Limit ,-Bernstein Operators with Varying ,In this paper, the continuity of the limit .-Bernstein operator with respect to parameter . is investigated. It is proved that the map .↦.. is continuous in the strong operator topology on .[0, 1] for . ∈ [0, 1]. Meanwhile, in the uniform operator topology, this map is discontinuous at every . ∈ [0, 1].