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Journal of computational and applied mathematics, ISSN 0377-0427, 01/2021, Volume 381, p. 112996
This paper deals with a control strategy enforcing consensus in a fractional opinion formation model with leadership, where the interaction rates between... 
Opinion formation models | Fractional differential systems | Optimal control | Fractional calculus | Consensus | SYSTEM | MATHEMATICS, APPLIED | TUTORIAL | CALCULUS | DYNAMICS
Journal Article
Communications in nonlinear science & numerical simulation, ISSN 1007-5704, 01/2021, Volume 92, p. 105490
The crossover among two or more types of diffusive processes represents a vibrant theme in nonequilibrium statistical physics. In this work we propose two... 
Lévy flights | Fractional dynamics | Stochastic processes | Fractional calculus | Non-Gaussian distributions
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 01/2021, Volume 382, p. 113064
This article concerns with the infection dynamics of fractionally extended HIV infection model incorporating antibody and cytotoxic T-Lymphocyte (CTL) immune... 
HIV infection model | Immune response | Stability | Fractional calculus | EXISTENCE | MATHEMATICS, APPLIED | STABILITY ANALYSIS | MEMORY | CTL | HIV/AIDS EPIDEMIC
Journal Article
Mechanical systems and signal processing, ISSN 0888-3270, 01/2021, Volume 146, p. 107042
•A general three-dimensional constitutive equation based on the fractional calculus.•Use of the fractional derivative model (FDM) for viscoelastic systems.•An... 
Viscoelasticity | Recurrence term | Fractional derivative model | Finite element | CALCULUS | ENGINEERING, MECHANICAL
Journal Article
European journal of mechanics, A, Solids, ISSN 0997-7538, 01/2021, Volume 85, p. 104086
In view of recent developments in advanced manufacturing and nanomaterial technologies, which have enabled realization of novel material architectures at... 
Wave propagation | Elastic-viscoplastic material | Thermomechanical processes | Rate-dependent material | Variational calculus | Second sound | Thermoplasticity
Journal Article
Communications in nonlinear science & numerical simulation, ISSN 1007-5704, 01/2021, Volume 92, p. 105448
•The new algorithm involves the adoption of complex-order derivatives and takes the name of Complex Order PSO.•An extensive sensitivity analysis is carried out... 
Particle swarm optimization | Fractional calculus | Complex order
Journal Article
Journal of the mechanics and physics of solids, ISSN 0022-5096, 12/2020, Volume 145, p. 104149
Journal Article
Annals of pure and applied logic, ISSN 0168-0072, 12/2020, Volume 171, Issue 10, p. 102830
This study aims to introduce a modal extension M4CC of Arieli, Avron, and Zamansky's ideal paraconsistent four-valued logic 4CC as a Gentzen-type sequent... 
Cut-elimination theorem | Kripke-completeness theorem | Embedding theorem | Ideal paraconsistent four-valued logic | Gentzen-type sequent calculus
Journal Article
Journal of educational computing research, ISSN 0735-6331, 12/2020, Volume 58, Issue 7, pp. 1256 - 1278
Computer-based testing is an expanding use of technology offering advantages to teachers and students. We studied Calculus II classes for science, technology,... 
paper-and-pencil testing | distance education and online learning | EDUCATION & EDUCATIONAL RESEARCH | computer testing | mathematics education studies | higher education | STEM education | calculus | ONLINE
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 12/2020, Volume 380, p. 112989
In this paper, we first construct a Euler–Maruyama type scheme for Caputo stochastic fractional differential equations (for short Caputo SFDE) of order... 
Euler–Maruyama scheme | Numerical method | Stochastic differential and integral equations | Fractional calculus | EXISTENCE | MATHEMATICS, APPLIED | STABILITY | SYSTEMS | Euler-Maruyama scheme | VOLTERRA-EQUATIONS
Journal Article
Journal of power sources, ISSN 0378-7753, 12/2020, Volume 479, p. 228821
A fractional-order voltage source pulse width modulation (PWM) rectifier (FOVSR) is that a voltage source PWM rectifier (VSR) with fractional-order inductors... 
Voltage source rectifier | Fractional-order control | Fractional-order capacitor | Fractional-order inductor | Fractional-order calculus
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 12/2020, Volume 492, Issue 2, p. 124473
We describe a closed operator functional calculus in Banach modules over the group algebra L1(R) and illustrate its usefulness with a few applications. In... 
Banach modules | Asymptotic spectral analysis | Spectral mapping theorem | Functional calculus
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 12/2020, Volume 379, p. 112964
ODE-based population models remain viable tools to investigate tumor growth and support clinical evidence. By following a fractional approach, this study... 
Population models | Mathematical oncology | ODEs | Non-integer calculus | MATHEMATICS, APPLIED | EQUATIONS | CANCER | PREDICTION
Journal Article
Measurement : journal of the International Measurement Confederation, ISSN 0263-2241, 12/2020, Volume 166, p. 108108
•An enhanced signal analysis method, called ESCMD, is proposed.•The calculus operator makes fault features easier to extract.•Eigenvalue decomposition avoids... 
Eigenvalue decomposition | Feature enhancement | Calculus operator | Enhanced symplectic characteristics mode decomposition
Journal Article
RUDN Journal of Philosophy, ISSN 2313-2302, 12/2020, Volume 24, Issue 2, pp. 228 - 243
The article explores the informal side of the idea of the proof. The word "idea" is used in a sense dating back to Plato. Proof is understood as a precisely... 
conclusion | argumentation | idea | science | proof | logic | calculus | axiom
Journal Article
Applied mathematics and computation, ISSN 0096-3003, 12/2020, Volume 386, p. 125425
•We describe a simple and powerful relation between Mittag-Leffler functions with different parameters.•Moreover, we reach the result that even though the... 
Fractional differential equation | MATHEMATICS, APPLIED | Exponentially stability | Mittag-Leffler function | CALCULUS
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 12/2020, Volume 372, p. 113307
The microstructural configuration of a material affects its macroscopic viscoelastic behavior, which suggests that materials can be engineered to achieve a... 
Topology optimization | Fractional viscoelasticity | ZPR update scheme | Material design | Fractional calculus | Multi-phase composite
Journal Article