An auto-scaling mechanism for cloud-based multimedia storage systems: a fuzzy-based elastic controller

Ghobaei‐Arani, Mostafa; Rezaei, Maryam; Souri, Alireza

doi:10.1007/s11042-021-11021-9

“…Modeling like biological population models, the predator-prey models and infectious diseases models, etc are generalized to fractional order. Fractional calculus is not only a productive and emerging field, but it also represents a new philosophy, how to construct and apply a certain type of nonlocal operator to real-world problems [17,18,19,26,27,32,33].…”

Section: Introductionmentioning

confidence: 99%

Generalized Hukuhara conformable fractional derivative and its application to fuzzy fractional partial differential equations

Ghaffari

¹

,

Allahviranloo

²

,

Abbasbandy

³

et al. 2022

Soft Comput

2

0

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The main focus of this paper is to develop an efficient analytical method to obtain the traveling wave fuzzy solution for the fuzzy generalized Hukuhara conformable fractional equations by considering the type of generalized Hukuhara conformable fractional differentiability of the solution. To achieve this, the fuzzy conformable fractional derivative based on the generalized Hukuhara differentiability is defined, and several properties are brought on the topic, such as switching points and the fuzzy chain rule. After that, a new analytical method is applied to find the exact solutions for two famous mathematical equations: the fuzzy fractional Wave equation and the fuzzy fractional Diffusion equation. The present work is the first report in which the fuzzy traveling wave method is used to design an analytical method to solve these fuzzy problems. The final examples are asserted that our new method is applicable and efficient.

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Multivariate workload and resource prediction in cloud computing using CNN and GRU by attention mechanism

Dogani

¹

,

Khunjush

²

,

Mahmoudi

³

et al. 2022

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Generalized Hukuhara Conformable Fractional Derivative and its Application to Fuzzy Fractional Partial DifferentialEquations

Ghaffari

¹

,

Allahviranloo

²

,

Abbasbandy

³

et al. 2021

Preprint

0

View full text Add to dashboard Cite

The main focus of this paper is to develop an efficient analytical method to obtain the traveling wave fuzzy solution for the fuzzy generalized Hukuhara conformable fractional equations by considering the type of generalized Hukuhara conformable fractional differentiability of the solution. To achieve this, the fuzzy conformable fractional derivative based on the generalized Hukuhara differentiability is defined, and several properties are brought on the topic, such as switching points and the fuzzy chain rule. After that, a new analytical method is applied to find the exact solutions for two famous mathematical equations: the fuzzy fractional Wave equation and the fuzzy fractional Diffusion equation. The present work is the first report in which the fuzzy traveling wave method is used to design an analytical method to solve these fuzzy problems. The final examples are asserted that our new method is applicable and efficient.

show abstract

An auto-scaling mechanism for cloud-based multimedia storage systems: a fuzzy-based elastic controller

Cited by 3 publications

References 36 publications

Generalized Hukuhara conformable fractional derivative and its application to fuzzy fractional partial differential equations

Generalized Hukuhara conformable fractional derivative and its application to fuzzy fractional partial differential equations

Multivariate workload and resource prediction in cloud computing using CNN and GRU by attention mechanism

Generalized Hukuhara Conformable Fractional Derivative and its Application to Fuzzy Fractional Partial DifferentialEquations

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