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Revista Brasileira de Ensino de Física, ISSN 1806-9126, Volume 40, Issue 2
Apresentamos as várias maneiras de definir uma derivada fracionária, na forma de uma introdução histórica ao cálculo fracionário. Partindo do conceito de... 
Derivada de Caputo | derivada de Riemann-Liouville | Derivada fracionária | cálculo de ordem não inteira | Circuito RL
Journal Article
Computational and Applied Mathematics, ISSN 0101-8205, 7/2018, Volume 37, Issue 3, pp. 3672 - 3690
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 02/2019, Volume 88, pp. 73 - 80
In this paper, we investigate the sufficient conditions for existence and uniqueness of solutions and -Ulam–Hyers–Rassias stability of an impulsive fractional... 
[formula omitted]-Hilfer fractional derivative | Banach fixed point | Impulsive fractional differential equation | [formula omitted]-Ulam–Hyers–Rassias | δ-Ulam–Hyers–Rassias | ψ-Hilfer fractional derivative
Journal Article
Bulletin of the Brazilian Mathematical Society, New Series, ISSN 1678-7544, 12/2019, Volume 50, Issue 4, pp. 1029 - 1047
We use a recently proposed fractional integral to establish a generalization of Grüss-type integral inequalities. We prove two theorems about these... 
Mathematics, general | Mathematics | Generalization inequalities of Grüss-type | Theoretical, Mathematical and Computational Physics | Fractional integral
Journal Article
Bulletin of the Brazilian Mathematical Society, New Series, ISSN 1678-7544, 6/2019, Volume 50, Issue 2, pp. 481 - 496
Journal Article
Bulletin of the Brazilian Mathematical Society, New Series, ISSN 1678-7544, 12/2019, Volume 50, Issue 4, pp. 803 - 822
The present paper plans to examine the existence, uniqueness and data dependence of the solution of the fractional functional differential equation with the... 
Theoretical, Mathematical and Computational Physics | Uniqueness | Data dependence | Abstract Volterra operator | Mathematics, general | Functional fractional differential equation | Mathematics | Existence | {\varPsi }$$ Ψ -Hilfer fractional derivative
Journal Article
Differential Equations and Dynamical Systems, ISSN 0971-3514, 10/2019
Journal Article
Revista Brasileira de Ensino de Fisica, ISSN 0102-4744, 2018, Volume 40, Issue 2
Journal Article
Journal of Applied Nonlinear Dynamics, ISSN 2164-6457, 2018, Volume 7, Issue 2, pp. 189 - 196
Journal Article
International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, 05/2017, Volume 48, Issue 4, pp. 630 - 641
Considering the important role played by mathematical derivatives in the study of physical-chemical processes, this paper discusses the different possibilities... 
exact differentials | Thermodynamics | differentials | equation of state | ideal gas | inexact differentials | Chemistry | Mathematical Formulas | Mathematics Instruction | Equations (Mathematics) | Mathematical Concepts | Calculus | Mathematical Models
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 10/2019, Volume 77, p. 305
In this paper, we present a Leibniz type rule for the [psi]-Hilfer ([psi]-H) fractional derivative operator in two forms, one written in terms of the... 
Differential equations
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 10/2019, Volume 77, pp. 305 - 311
In this paper, we present a Leibniz type rule for the ψ-Hilfer (ψ-H) fractional derivative operator in two forms, one written in terms of the... 
ψ-Hilfer fractional operator | Leibniz type rule | Leibniz rule
Journal Article
Revista Mexicana de Física, ISSN 0035-001X, 2006, Volume 52
Journal Article
The European Physical Journal Special Topics, ISSN 1951-6355, 3/2011, Volume 193, Issue 1, pp. 161 - 171
We revisit the Mittag-Leffler functions of a real variable t, with one, two and three order-parameters {α,β,γ}, as far as their Laplace transform pairs and... 
Condensed Matter Physics | Measurement Science and Instrumentation | Materials Science, general | Atomic, Molecular, Optical and Plasma Physics | Physics, general | Physics | Classical Continuum Physics | EQUATIONS | ABSORPTION | PHYSICS, MULTIDISCIPLINARY | DISPERSION
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 05/2011, Volume 44, Issue 18, pp. 185303 - 17
We study tunneling through delta and double delta potentials in fractional quantum mechanics. After solving the fractional Schrodinger equation for these... 
DIFFUSION | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | EQUATION | Deltas | Energy transmission | Mathematical analysis | Quantum mechanics | Tunneling | Reflection | Schroedinger equation | Derivatives
Journal Article
International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, 07/2013, Volume 44, Issue 5, pp. 761 - 765
We calculate the limit of a particular trigonometric function After a question proposed by a student: can you show a particular result, involving a... 
limit | l'Hôpital rule | trigonometric limit
Journal Article
Computational and Applied Mathematics, ISSN 0101-8205, 03/2019, Volume 38, Issue 1
Journal Article
Computational and Applied Mathematics, ISSN 0101-8205, 9/2018, Volume 37, Issue 4, pp. 5375 - 5394
Journal Article
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