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Mathematics, Volume 10, Issue 6

March-2 2022 - 159 articles

Cover Story: General fractional integrals and derivatives are a far-reaching generalization of the Riemann–Liouville fractional integral and derivative. They are obtained by replacing the power law kernels of the Riemann–Liouville fractional integral and derivative with more general kernels. For applications, the fractional differential equations of these derivatives are especially important. Yuri Luchko has developed an Mikusinski-type operational calculus for general fractional derivatives and has applied it to derive an explicit form of solutions to Cauchy problems in linear fractional differential equations that can be determined these derivatives. Solutions are provided in form of convolution series that are generated by the kernels of the corresponding general fractional integrals. View this paper
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Articles (159)

  • Article
  • Open Access
7 Citations
3,111 Views
15 Pages

The Game Model of Blue Carbon Collaboration along MSR—From the Regret Theory Perspective

  • Changping Zhao,
  • Maliyamu Sadula,
  • Xiangmeng Huang,
  • Yali Yang,
  • Yu Gong and
  • Shuai Yang

21 March 2022

Ocean pollution and global warming are two pressing environmental problems exacerbated by human economic behavior. Building a blue carbon cooperation platform along the Maritime Silk Road (MSR) to promote sustainable development of countries along th...

  • Article
  • Open Access
12 Citations
4,626 Views
22 Pages

21 March 2022

The propagation of nonlinear water waves under complex wave conditions is the key issue of hydrodynamics both in coastal and ocean engineering, which is significant in the prediction of strongly nonlinear phenomena regarding wave–structure inte...

  • Article
  • Open Access
16 Citations
2,798 Views
20 Pages

Adaptive Evolutionary Computation for Nonlinear Hammerstein Control Autoregressive Systems with Key Term Separation Principle

  • Faisal Altaf,
  • Ching-Lung Chang,
  • Naveed Ishtiaq Chaudhary,
  • Muhammad Asif Zahoor Raja,
  • Khalid Mehmood Cheema,
  • Chi-Min Shu and
  • Ahmad H. Milyani

21 March 2022

The knacks of evolutionary and swarm computing paradigms have been exploited to solve complex engineering and applied science problems, including parameter estimation for nonlinear systems. The population-based computational heuristics applied for pa...

  • Article
  • Open Access
17 Citations
3,210 Views
17 Pages

21 March 2022

As increasing clients tend to outsource massive multimedia data generated by Internet of Things (IoT) devices to the cloud, data auditing is becoming crucial, as it enables clients to verify the integrity of their outsourcing data. However, most exis...

  • Article
  • Open Access
2,128 Views
21 Pages

Multifractality via Stochasticity in Atmospheric Dynamics Description Validated through Remote Sensing Data

  • Dragos-Constantin Nica,
  • Mirela Voiculescu,
  • Daniel-Eduard Constantin,
  • Manuela Gîrțu,
  • Liliana Topliceanu,
  • Decebal Vasincu,
  • Iulian-Alin Roșu and
  • Maricel Agop

21 March 2022

In the present paper, correlations between multifractality and stochasticity in atmospheric dynamics are investigated. Starting with two descriptions of atmospheric scenarios, one based on scale relativity theory and another based on stochastic theor...

  • Article
  • Open Access
7 Citations
3,020 Views
17 Pages

A Neural Controller for Induction Motors: Fractional-Order Stability Analysis and Online Learning Algorithm

  • Mohammad Hosein Sabzalian,
  • Khalid A. Alattas,
  • Fayez F. M. El-Sousy,
  • Ardashir Mohammadzadeh,
  • Saleh Mobayen,
  • Mai The Vu and
  • Mauricio Aredes

21 March 2022

In this study, an intelligent control scheme is developed for induction motors (IMs). The dynamics of IMs are unknown and are perturbed by the variation of rotor resistance and load changes. The control system has two stages. In the identification st...

  • Article
  • Open Access
7 Citations
2,920 Views
15 Pages

21 March 2022

The retailer cannot often identify consumers’ preference for personalized and refined services. This poses a lower service than the consumer expects, which will lead to a decline in consumers’ satisfaction and loyalty. To cope with this p...

  • Article
  • Open Access
46 Citations
8,001 Views
24 Pages

FedGCN: Federated Learning-Based Graph Convolutional Networks for Non-Euclidean Spatial Data

  • Kai Hu,
  • Jiasheng Wu,
  • Yaogen Li,
  • Meixia Lu,
  • Liguo Weng and
  • Min Xia

21 March 2022

Federated Learning (FL) can combine multiple clients for training and keep client data local, which is a good way to protect data privacy. There are many excellent FL algorithms. However, most of these can only process data with regular structures, s...

  • Article
  • Open Access
118 Citations
7,876 Views
16 Pages

A Modified Grey Wolf Optimization Algorithm for an Intrusion Detection System

  • Abdullah Alzaqebah,
  • Ibrahim Aljarah,
  • Omar Al-Kadi and
  • Robertas Damaševičius

21 March 2022

Cyber-attacks and unauthorized application usage have increased due to the extensive use of Internet services and applications over computer networks, posing a threat to the service’s availability and consumers’ privacy. A network Intrusi...

  • Article
  • Open Access
5 Citations
6,144 Views
12 Pages

Domination Coloring of Graphs

  • Yangyang Zhou,
  • Dongyang Zhao,
  • Mingyuan Ma and
  • Jin Xu

21 March 2022

A domination coloring of a graph G is a proper vertex coloring of G, such that each vertex of G dominates at least one color class (possibly its own class), and each color class is dominated by at least one vertex. The minimum number of colors among...

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Mathematics - ISSN 2227-7390