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A concept of controlling Grover diffusion operator: a new approach to solve arbitrary Boolean-based problems [PDF]
Scientific ReportsA controlled-diffusion operator for Boolean oracles is designed as a new approach for Grover’s algorithm to search for solutions for arbitrary logical structures of such oracles, since the Grover diffusion operator is not able to find correct solutions ...
Ali Al-Bayaty, Marek Perkowski
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Fractional diffusion equation with new fractional operator
Alexandria Engineering Journal, 2020 A new fractional operator with Rabotnov fractional exponential kernel was recently introduced in the literature. In this paper, we consider the fractional diffusion equation in the context of this new fractional operator.
Ndolane Sene
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Analytical solutions and dynamic behavior of conformable fractional reaction-diffusion systems [PDF]
Scientific ReportsThis study presents an analytical investigation of fractional reaction-diffusion systems within the framework of the conformable fractional operator. The conformable operator provides a simplified yet powerful mathematical tool for modeling fractional ...
Azzh Saad Alshehry +2 more
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Open Mathematics, 2019 In this work, we will introduce two novel positivity preserving operator splitting nonstandard finite difference (NSFD) schemes for the numerical solution of SEIR reaction diffusion epidemic model.
Ahmed Nauman +5 more
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Cumhuriyet Science Journal, 2023 In this paper, we consider a diffusion operator which includes conformable fractional derivatives of order α (0<α≤1) instead of the ordinary derivatives in a traditional diffusion operator. We give an α-integral representation for the solution of this
Esengül Koç, Yaşar Çakmak
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Cumhuriyet Science Journal, 2023 In this paper, we consider the inverse nodal problem for the conformable fractional diffusion operator with parameter-dependent Bitsadze–Samarskii type nonlocal boundary condition.
Yaşar Çakmak
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Ambarzumyan-Type Theorem for a Conformable Fractional Diffusion Operator
Communications in Advanced Mathematical Sciences, 2023 In this paper, we prove an Ambarzumyan-type theorem for a Conformable fractional diffusion operator, i.e. we show that $q(x)$ and $p(x)$ functions are zero if the eigenvalues are the same as the eigenvalues of zero potentials.
Yaşar Çakmak
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Inverse Problems for a Conformable Fractional Diffusion Operator
Journal of New Theory, 2023 In this paper, we consider a diffusion operator with discrete boundary conditions, which include the conformable fractional derivatives of order $\alpha$ such that ...
Yaşar Çakmak
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Mathematics, 2023 The spectral problem for the diffusion operator is considered in a domain containing thin tubes. A new version of the method of partial asymptotic decomposition of the domain is introduced to reduce the dimension inside the tubes.
Andrey Amosov +3 more
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Fractal and Fractional, 2023 The fractional Laplacian operator is a very important fractional operator that is often used to describe several anomalous diffusion phenomena. In this paper, we develop some numerical schemes, including a finite difference scheme and finite volume ...
Junjie Wang, Shoucheng Yuan, Xiao Liu
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