On dual integral equations as convolution transforms
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This study uncovers the unexplored role of intermolecular interactions in multiphoton absorption in coordination polymers. By analyzing [Zn2tpda(DMA)2(DMF)0.3], it shows how the electronic coupling of the chromophores and confinement in the MOF enhance two‐and three‐photon absorption.
Simon Nicolas Deger +11 more
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A numerical approach to fractional Volterra-Fredholm integro-differential problems using shifted Chebyshev spectral collocation. [PDF]
Hamood MM, Sharif AA, Ghadle KP.
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Connectivity Structure and Dynamics of Nonlinear Recurrent Neural Networks. [PDF]
Clark DG +3 more
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Scalar wave diffraction by an open-ended sphere-conical cavity: the Abel integral transform in the Dirichlet and Neumann problems. [PDF]
Kuryliak D, Lysechko V.
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An Optimized Pedestrian Inertial Navigation Method Based on the Birkhoff Pseudospectral Method. [PDF]
Zhang Z, Zhao D, Tian D.
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Analytical solution for deformation of an existing tunnel induced by shield tunnelling overcrossing in complex strata. [PDF]
Huang K +6 more
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Integrative framework for cancer detection via integro-differential equations using deep learning techniques. [PDF]
Gopisairam T, Thota S, Bikku T.
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Bäklund transformations and singular integral equations
Physica A: Statistical Mechanics and its Applications, 1984A systematic method for deriving Bäcklund transformations for singular (linear) integral equations is presented. The method leads in a natural way to the Bäcklund transformations for the corresponding (integrable) nonlinear partial differential equations.
Quispel, G. R. W. +3 more
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Fractional Kinetic Equation Involving Integral Transform
SSRN Electronic Journal, 2019In this paper, we derive the solution of fractional kinetic equation with Laplace and Fourier transforms. Their respective solutions are given in terms of Mittag-Leffler function and their generalization, which can also be represented as Fox’s H-function.
Altaf Ahmad Bhat, Reeta Chauhan
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