Hybrid Computational Intelligence Systems for Real World Applications

Transition metal oxides with ABO3 or BO2 structures have become one of the major research fields in solid state science, as they exhibit an impressive variety of unusual and exotic phenomena with potential for their exploitation in real-world applications [...]

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Designing Motion Matching for Real-World Applications

Proceedings of the Thirteenth International Conference on Tangible, Embedded, and Embodied Interaction - TEI '19 ◽

10.1145/3294109.3295628 ◽

2019 ◽

Cited By ~ 1

Author(s):

David Verweij ◽

Augusto Esteves ◽

Saskia Bakker ◽

Vassilis-Javed Khan

Keyword(s):

Real World ◽

Real World Applications

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Applications of Distributed-Order Fractional Operators: A Review

Entropy ◽

10.3390/e23010110 ◽

2021 ◽

Vol 23 (1) ◽

pp. 110

Author(s):

Wei Ding ◽

Sansit Patnaik ◽

Sai Sidhardh ◽

Fabio Semperlotti

Keyword(s):

Fractional Calculus ◽

Real World ◽

Transport Processes ◽

Model Systems ◽

Variable Order ◽

Fractional Operators ◽

Research Activity ◽

Road Map ◽

Real World Applications ◽

Distributed Order

Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader area of fractional calculus that has important and far-reaching applications for the modeling of complex systems. DOFC generalizes the intrinsic multiscale nature of constant and variable-order fractional operators opening significant opportunities to model systems whose behavior stems from the complex interplay and superposition of nonlocal and memory effects occurring over a multitude of scales. In recent years, a significant amount of studies focusing on mathematical aspects and real-world applications of DOFC have been produced. However, a systematic review of the available literature and of the state-of-the-art of DOFC as it pertains, specifically, to real-world applications is still lacking. This review article is intended to provide the reader a road map to understand the early development of DOFC and the progressive evolution and application to the modeling of complex real-world problems. The review starts by offering a brief introduction to the mathematics of DOFC, including analytical and numerical methods, and it continues providing an extensive overview of the applications of DOFC to fields like viscoelasticity, transport processes, and control theory that have seen most of the research activity to date.

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