Analytical analysis of the nonlinear fractional order Pochhammer-Chree equation with power-law nonlinearity in elastic materials. [PDF]
Khalid M, Khalid NA, Ceesay B, Ahmed N.
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Graphene nanoplatelet (0.1 wt.%) reinforcement significantly enhances the performance of β Ti‐28Nb‐35.4Zr alloy. Grain refinement, reduced water contact angle, and improved surface characteristics promote osteoblast adhesion and complete surface coverage after 7 days.
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Modeling and analysis of stochastic quantum magnetohydrodynamics equations with energy estimates. [PDF]
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Effect of rotational field on thermo-acoustic and optical wave propagation in hydrodynamic semiconductors. [PDF]
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Chaos control and sensitivity analysis of climate change under green gases and carbon omission utilizing caputo fractional operator. [PDF]
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Fractal-fractional modeling and stability analysis of pine wilt disease dynamics. [PDF]
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A fractional SEIVRB model for aquatic diseases dynamics with stability analysis and numerical solution. [PDF]
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On the factorisation of linear ordinary differential operators
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Green's Functions for Singular Ordinary Differential Operators
There are several ways to approach the eigenfunction expansion problem for ordinary differential operators via the spectral theorem for self-ad joint linear operators in Hilbert space. One can examine the resolvent, which requires a detailed study of the Green's function (4, 5, 7), or one can use the spectral theorem for unbounded operators (2, 3, 9 ...
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