Fractional Versions of the Fundamental Theorem of Calculus

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Applied Mathematics

ISSN Print: 2152-7385
ISSN Online: 2152-7393
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E-mail: am@scirp.org

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"Fractional Versions of the Fundamental Theorem of Calculus"
written by Eliana Contharteze Grigoletto, Edmundo Capelas de Oliveira,
published by Applied Mathematics, Vol.4 No.7A, 2013

has been cited by the following article(s):

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[2]	A QUATERNIONIC FRACTIONAL BOREL–POMPEIU-TYPE FORMULA
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[3]	Generalized synchronization of commensurate fractional-order chaotic systems: Applications in secure information transmission
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[4]	A FRACTIONAL BOREL–POMPEIU-TYPE FORMULA FOR HOLOMORPHIC FUNCTIONS OF TWO COMPLEX VARIABLES
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[5]	Explicit Time-Dependent Entropy Production Expressions: Fractional and Fractal Pesin Relations
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[11]	Introducing the p-Laplacian spectra
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[13]	The Concepts and Applications of Fractional Order Differential Calculus in Modeling of Viscoelastic Systems: A Primer
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[14]	Fractional space–time nonlinear reaction–convection–diffusion
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[15]	Fractional deterministic factor analysis of economic processes with memory and nonlocality
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[17]	On fractional vectorial calculus
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[18]	Beyond particles and localities in quantum matters
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[19]	FRACTIONAL VECTOR CALCULUS IN THE FRAME OF A GENERALIZED CAPUTO FRACTIONAL DERIVATIVE
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[21]	Fractional Differential Operators: Eigenfunctions
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[22]	Anomalous dimension of the electrical current in strange metals from the fractional Aharonov-Bohm effect
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[23]	Fractional derivatives= generalizations= Derivadas fracionárias: generalizações
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[24]	Trajectory Tracking Error Using Fractional Order PID Control Law for Two‐Link Robot Manipulator via Fractional Adaptive Neural Networks
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[25]	Credit: 2 PDH
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[26]	The Concepts and Applications of Fractional Order Differential Calculus in Modelling of Viscoelastic Systems: A primer
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[27]	Travelling Waves in Space-Fractional Nonlinear Diffusion with Linear Convection
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[28]	Problema Não Linear de Difusão Fracionária com Absorção.
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[29]	Derivada fracionária no sentido de Caputo-Hadamard.
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[30]	On a Caputo-type fractional derivative
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[31]	Fractional Definite Integral
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[32]	Superdifusão em espaços finitos e derivadas fracionárias
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[33]	Cálculo fracionário aplicado às equações horárias do movimento e outras aplicações
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[36]	Предельные величины нецелого порядка в экономическом анализе
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[37]	Anomalous Dimension of the Electrical Current in the Normal State of the Cuprates from the Fractional Aharonov-Bohm Effect
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[38]	Linear fractional differential equations and eigenfunctions of fractional differential operators
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[39]	Нелокальные меры неприятия риска в экономическом процессе
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[40]	Deterministic Factor Analysis: Methods of Integro-Differentiation of Non-Integral Order
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[41]	Sobre cálculo fracionário e soluções da equação de Bessel
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[42]	Slowing-down of Neutrons: A Fractional Model
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[43]	Aflatoxins
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[44]	On Caputo modification of the Hadamard fractional derivatives
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[45]	A Review of Definitions for Fractional Derivatives and Integral
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[46]	Equações diferenciais fracionárias e as funções de Mittag-Leffler
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[47]	Aplicaçoes do Teorema Fundamental do Cálculo Fracionário em Equaçoes Diferenciais Fracionárias
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[48]	Aplicações do teorema fundamental do cálculo fracionário em equações diferenciais fracionárias
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[2]	Recent Trends in Wave Mechanics and Vibrations Mechanisms and Machine Science, 2023 DOI:10.1007/978-3-031-15758-5_12

[3]	A bicomplex (ϑ,φ)-weighted fractional Borel-Pompeiu type formula Journal of Mathematical Analysis and Applications, 2023 DOI:10.1016/j.jmaa.2022.126923

[4]	A survey of fractional calculus applications in artificial neural networks Artificial Intelligence Review, 2023 DOI:10.1007/s10462-023-10474-8

[5]	The n-Point Composite Fractional Formula for Approximating Riemann–Liouville Integrator Symmetry, 2023 DOI:10.3390/sym15040938

[6]	A novel approach to study the mass-spring-damper system using a reliable fractional method Archive of Applied Mechanics, 2023 DOI:10.1007/s00419-023-02461-w

[7]	A survey of fractional calculus applications in artificial neural networks Artificial Intelligence Review, 2023 DOI:10.1007/s10462-023-10474-8

[8]	A novel approach to study the mass-spring-damper system using a reliable fractional method Archive of Applied Mechanics, 2023 DOI:10.1007/s00419-023-02461-w

[9]	A QUATERNIONIC FRACTIONAL BOREL–POMPEIU-TYPE FORMULA Fractals, 2022 DOI:10.1142/S0218348X2250013X

[10]	A FRACTIONAL BOREL–POMPEIU-TYPE FORMULA FOR HOLOMORPHIC FUNCTIONS OF TWO COMPLEX VARIABLES Fractals, 2022 DOI:10.1142/S0218348X2250092X

[11]	Explicit Time-Dependent Entropy Production Expressions: Fractional and Fractal Pesin Relations Brazilian Journal of Physics, 2021 DOI:10.1007/s13538-021-00889-5

[12]	$$\psi $$-Mittag–Leffler pseudo-fractional operators Journal of Pseudo-Differential Operators and Applications, 2021 DOI:10.1007/s11868-021-00412-z

[13]	Introducing the p-Laplacian spectra Signal Processing, 2020 DOI:10.1016/j.sigpro.2019.107281

[14]	Becoming Human with Humanoid - From Physical Interaction to Social Intelligence 2020 DOI:10.5772/intechopen.90901

[15]	Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives Understanding Complex Systems, 2018 DOI:10.1007/978-3-319-68109-2_9

[16]	Fractional space–time nonlinear reaction–convection–diffusion Computational and Applied Mathematics, 2018 DOI:10.1007/s40314-018-0573-y

[17]	On a Caputo-type fractional derivative Advances in Pure and Applied Mathematics, 2018 DOI:10.1515/apam-2017-0068

[18]	Anomalous dimension of the electrical current in strange metals from the fractional Aharonov-Bohm effect EPL (Europhysics Letters), 2018 DOI:10.1209/0295-5075/121/27003

[19]	Travelling Waves in Space-Fractional Nonlinear Diffusion with Linear Convection Journal of Applied Mathematics and Physics, 2017 DOI:10.4236/jamp.2017.52041

[20]	Robotics - Legal, Ethical and Socioeconomic Impacts 2017 DOI:10.5772/intechopen.70020

[21]	Fractional Definite Integral Fractal and Fractional, 2017 DOI:10.3390/fractalfract1010002

[22]	Linear fractional differential equations and eigenfunctions of fractional differential operators Computational and Applied Mathematics, 2016 DOI:10.1007/s40314-016-0381-1

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