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Analysis of Non-Local Integro-Differential Equations with Hadamard Fractional Derivatives: Existence, Uniqueness, and Stability in the Context of RLC Models

open access: yesFractal and Fractional
In this study, we focus on the stability analysis of the RLC model by employing differential equations with Hadamard fractional derivatives. We prove the existence and uniqueness of solutions using Banach’s contraction principle and Schaefer’s fixed ...
Manigandan Murugesan   +3 more
doaj   +1 more source

Fractional Brownian Motion as a Differentiable Generalized Gaussian Process [PDF]

open access: yes
Brownian motion can be characterized as a generalized random process and, as such, has a generalized derivative whose covariance functional is the delta function. In a similar fashion, fractional Brownian motion can be interpreted as a generalized random
Peter C.B. Phillips   +1 more
core  

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