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Fractional-order modeling of lithium-ion batteries using additive noise assisted modeling and correlative information criterion

Journal of advanced research, 2020-09, Vol.25, p.49-56

2020

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Matrix approach to discrete fractional calculus III: non-equidistant grids, variable step length and distributed orders

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2013-05, Vol.371 (1990), p.20120153-20120153

2013

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A Modular Approach to the Teaching of Mathematical Content at Technical Universities

Mathematics (Basel), 2022-08, Vol.10 (16), p.2881

2022

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Time-Fractional Diffusion-Wave Equation with Mass Absorption in a Sphere under Harmonic Impact

Mathematics (Basel), 2019-05, Vol.7 (5), p.433

2019

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Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives

Rheologica acta, 2006-06, Vol.45 (5), p.765-771

2006

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Porous functions

Fractional calculus & applied analysis, 2019-12, Vol.22 (6), p.1502-1516

Podlubny, Igor

2019

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Monte Carlo method for fractional-order differentiation extended to higher orders

Fractional calculus & applied analysis, 2022-06, Vol.25 (3), p.841-857

2022

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Monte Carlo method for fractional-order differentiation

Fractional calculus & applied analysis, 2022-04, Vol.25 (2), p.346-361

2022

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The Little Prince -- The Lost Chapter

Journal of humanistic mathematics, 2021-07, Vol.11 (2), p.409-416

Podlubny, Igor

2021

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Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability

Computers & mathematics with applications (1987), 2010-03, Vol.59 (5), p.1810-1821

2010

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Mittag–Leffler stability of fractional order nonlinear dynamic systems

Automatica (Oxford), 2009-08, Vol.45 (8), p.1965-1969

2009

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Fractional Order Disturbance Observer for Robust Vibration Suppression

Nonlinear dynamics, 2004-12, Vol.38 (1-4), p.355-367

2004

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Niels Henrik Abel and the birth of fractional calculus

Fractional calculus & applied analysis, 2017-10, Vol.20 (5), p.1068-1075

2017

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A Special Issue in ISA Transactions “Fractional Order Signals, Systems, and Controls: Theory and Application”

ISA transactions, 2018-11, Vol.82, p.1-1

2018

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Porous functions–II

Fractional calculus & applied analysis, 2020-04, Vol.23 (2), p.307-323

2020

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Diffusion process modeling by using fractional-order models

Applied mathematics and computation, 2015-04, Vol.257, p.2-11

2015

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On the fractional signals and systems

Signal processing, 2011-03, Vol.91 (3), p.350-371

2011

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Modelling heat transfer in heterogeneous media using fractional calculus

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2013-05, Vol.371 (1990), p.20120146-20120146

2013

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Experimental Evidence of Variable-Order Behavior of Ladders and Nested Ladders

IEEE transactions on control systems technology, 2013-03, Vol.21 (2), p.459-466

2013

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Finite energy Lyapunov function candidate for fractional order general nonlinear systems

Communications in nonlinear science & numerical simulation, 2019-11, Vol.78, p.104886, Article 104886

2019

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Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications

Podlubny, Igor

1, 1998

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FCAA special issue (FCAA–volume 20–5–2017)

Fractional calculus & applied analysis, 2017-10, Vol.20 (5), p.1053-1067

2017

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Matrix approach to discrete fractional calculus II: Partial fractional differential equations

Journal of computational physics, 2009-05, Vol.228 (8), p.3137-3153

2009

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What Euler could further write, or the unnoticed “big bang” of the fractional calculus

Fractional calculus & applied analysis, 2013-06, Vol.16 (2), p.501-506

Podlubny, Igor

2013

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Special Issue on “Fractional PDEs: Theory, Numerics, and Applications”

Journal of computational physics, 2015-07, Vol.293, p.1-3

2015

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Fractional-order modeling of lithium-ion batteries using additive noise assisted modeling and correlative information criterion

Matrix approach to discrete fractional calculus III: non-equidistant grids, variable step length and distributed orders

A Modular Approach to the Teaching of Mathematical Content at Technical Universities

Time-Fractional Diffusion-Wave Equation with Mass Absorption in a Sphere under Harmonic Impact

Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives

Porous functions

Monte Carlo method for fractional-order differentiation extended to higher orders

Monte Carlo method for fractional-order differentiation

The Little Prince -- The Lost Chapter

Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability

Mittag–Leffler stability of fractional order nonlinear dynamic systems

Fractional Order Disturbance Observer for Robust Vibration Suppression

Niels Henrik Abel and the birth of fractional calculus

A Special Issue in ISA Transactions “Fractional Order Signals, Systems, and Controls: Theory and Application”

Porous functions–II

Diffusion process modeling by using fractional-order models

On the fractional signals and systems

Modelling heat transfer in heterogeneous media using fractional calculus

Experimental Evidence of Variable-Order Behavior of Ladders and Nested Ladders

Finite energy Lyapunov function candidate for fractional order general nonlinear systems

Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications

FCAA special issue (FCAA–volume 20–5–2017)

Matrix approach to discrete fractional calculus II: Partial fractional differential equations

What Euler could further write, or the unnoticed “big bang” of the fractional calculus

Special Issue on “Fractional PDEs: Theory, Numerics, and Applications”

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