E. C. Oliveira

发表

The $$\psi $$-Hilfer fractional calculus of variable order and its applications

J. Sousa, J. Machado, E. C. Oliveira, 2020, Comput. Appl. Math..

A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator

J. Sousa, E. C. Oliveira, 2017, Differential Equations & Applications.

$$\psi $$-Hilfer pseudo-fractional operator: new results about fractional calculus

J. Sousa, E. C. Oliveira, G. S. Frederico, 2020, Comput. Appl. Math..

Mild and strong solutions for Hilfer evolution equation

J. Sousa, E. C. Oliveira, L. S. Tavares, 2019, 1907.02019.

On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in $L^{N} \left( \mathbb{R} ^{N}\right) ^{N} $

J. Sousa, E. C. Oliveira, S. Gala, 2019, 1907.06587.

Fractional Order Pseudoparabolic Partial Differential Equation: Ulam–Hyers Stability

J. Sousa, E. C. Oliveira, J. Vanterler, 2018, Bulletin of the Brazilian Mathematical Society, New Series.

On the Ulam–Hyers–Rassias stability for nonlinear fractional differential equations using the $$\psi $$ψ-Hilfer operator

J. Sousa, E. C. Oliveira, 2017, Journal of Fixed Point Theory and Applications.

Stability of ψ-Hilfer impulsive fractional differential equations

J. Sousa, E. C. Oliveira, K. Kucche, 2018, Appl. Math. Lett..

C A ] 5 N ov 2 01 8 ON THE Ψ − FRACTIONAL INTEGRAL AND APPLICATIONS

J. Sousa, E. C. Oliveira, 2018 .

Existence, uniqueness, estimation and continuous dependence of the solutions of a nonlinear integral and an integrodifferential equations of fractional order

J. Sousa, E. C. Oliveira, 2018, 1806.01441.

A new class of mild and strong solutions of integro-differential equation of arbitrary order in Banach space

J. Sousa, E. C. Oliveira, D. Gomes, 2018, 1812.11197.

C A ] 5 J un 2 01 8 EXISTENCE , UNIQUENESS , ESTIMATION AND CONTINUOUS DEPENDENCE OF THE SOLUTIONS OF A NONLINEAR INTEGRAL AND AN INTEGRODIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

J. Sousa, E. C. Oliveira, 2018 .

C A ] 5 D ec 2 01 8 ON THE EXISTENCE AND STABILITY FOR NON-INSTANTANEOUS IMPULSIVE FRACTIONAL INTEGRODIFFERENTIAL EQUATION

D. S. Oliveira, J. Sousa, E. C. Oliveira, 2018 .

Hilfer-Katugampola fractional derivative

D. S. Oliveira, E. C. Oliveira, 2017, 1705.07733.

Hilfer–Katugampola fractional derivatives

D. S. Oliveira, E. C. Oliveira, E. C. de Oliveira, 2018 .

Ulam–Hyers–Rassias Stability for a Class of Fractional Integro-Differential Equations

J. Sousa, E. C. Oliveira, Danilo C. Sousa, 2018, Results in Mathematics.

A Review of Definitions for Fractional Derivatives and Integral

J. Machado, E. C. Oliveira, 2014 .

Fractional Versions of the Fundamental Theorem of Calculus

E. C. Oliveira, E. C. Grigoletto, 2013 .

Validation of a fractional model for erythrocyte sedimentation rate

L. A. Magna, E. C. Oliveira, J. V. C. Sousa, 2018, Computational and Applied Mathematics.

Two new fractional derivatives of variable order with non-singular kernel and fractional differential equation

J. Sousa, E. C. Oliveira, 2018 .

$M$-fractional derivative with classical properties

J. Sousa, E. C. Oliveira, 2017 .

Confluent Hypergeometric Equation via Fractional Calculus Approach

E. C. Oliveira, F. G. Rodrigues, 2016, 1612.07573.

A note on the inverse Laplace transform

E. C. Oliveira, E. C. Grigoletto, 2018 .

A pr 2 01 8 ULAM-HYERS-RASSIAS STABILITY FOR A CLASS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

J. Sousa, E. C. Oliveira, 2018 .

Stability of fractional functional differential equations

J. Sousa, E. C. Oliveira, F. G. Rodrigues, 2018, 1807.06145.

Leibniz type rule: $\Psi-$Hilfer fractional derivative

J. Sousa, E. C. Oliveira, 2018, 1811.02717.

Introduction to the techniques of the fractional calculus to investigate some models of the mathematical physics (in Portuguese)

E. C. Oliveira, F. G. Rodrigues, 2015, 1508.03582.

EXISTENCE AND UNIQUENESS OF MILD AND STRONG SOLUTIONS FOR FRACTIONAL EVOLUTION EQUATION

T. Abdeljawad, J. Sousa, E. C. Oliveira, 2021 .

Three-parameter Mittag-Leffler function with an integral representation on the positive real axis

E. C. Oliveira, E. C. Grigoletto, R. F. Camargo, 2018 .

Infections Hyperglycemia Kidney Disease Acanthocytosis Macrocytosis Microcytosis Dextran Spherocytosis Diabetes Mellitus Thalassemia Gout Cortisone Multiple Myeloma Quinine Myocardial Infarction Rheumatic Fever

J. Sousa, E. C. Oliveira, Magun N. N. Santos, 2018 .

The Ã -Hilfer fractional calculus of variable order and its applications

J. Machado, E. C. Oliveira, José Vanterler, 2020 .

Integral representations of Mittag-Leffler function on the positive real axis

E. C. Oliveira, E. C. Grigoletto, R. F. Camargo, 2019, TEMA - Tendências em Matemática Aplicada e Computacional.

Linear fractional differential equations and eigenfunctions of fractional differential operators

E. C. Oliveira, E. C. Grigoletto, Rubens Figueiredo Camargo, 2018 .

Fractional Differential Operators: Eigenfunctions

E. C. Oliveira, E. C. Grigoletto, R. F. Camargo, 2018 .

Solutions of time-fractional differential equations using homotopy analysis method

D. S. Oliveira, E. C. Oliveira, 2020, 2004.02365.

Existence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations

J. Sousa, E. C. Oliveira, P. Ramos, 2020, Evolution Equations & Control Theory.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem

J. Sousa, E. C. Oliveira, K. Kucche, 2019, 1908.05296.

Discrete Fourier transform and fractional equations

E. C. Oliveira, E. C. Grigoletto, J. C. A. Soares, 2018 .

Mittag–Leffler Functions and the Truncated $${\mathcal {V}}$$V-fractional Derivative

J. Sousa, E. C. Oliveira, 2017, 1705.07181.

Analytic components for the hadronic total cross-section: Fractional calculus and Mellin transform

M. J. Menon, E. C. Oliveira, P. Silva, 2017, 1708.01255.

Truncated $\mathcal{V}$-fractional Taylor's formula with applications

J. Sousa, E. C. Oliveira, 2017, 1707.02007.

On Attractivity for $\psi$-Hilfer Fractional Differential Equations Systems

D. O’Regan, J. Sousa, E. C. Oliveira, 2020 .

On attractivity of solutions of fractional differential equations

J. Sousa, E. C. Oliveira, 2020 .

Fractional Order Pseudoparabolic Partial Differential Equation: Ulam–Hyers Stability

J. Sousa, E. C. Oliveira, 2018, Bulletin of the Brazilian Mathematical Society, New Series.

On the Ulam–Hyers–Rassias stability for nonlinear fractional differential equations using the $$\psi $$ψ-Hilfer operator

J. Sousa, E. C. Oliveira, E. C. de Oliveira, 2017, Journal of Fixed Point Theory and Applications.

Fractional calculus and the ESR test

L. A. Magna, J. Sousa, E. C. Oliveira, 2016, 1701.07379.

A new truncated $M$-fractional derivative type unifying some fractional derivative types with classical properties

J. Sousa, E. C. Oliveira, J. Vanterler, 2017, 1704.08187.

On the ψ-Hilfer fractional derivative

J. Vanterler da C. Sousa, E. Capelas de Oliveira, J. Sousa, 2017, Commun. Nonlinear Sci. Numer. Simul..

Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation

J. Vanterler da C. Sousa, E. Capelas De Oliveira, J. Sousa, 2017, Appl. Math. Lett..

A new fractional derivative of variable order with non-singular kernel and fractional differential equations

J. Sousa, E. C. Oliveira, 2017, 1712.06506.

On a new operator in fractional calculus and applications

J. Sousa, E. C. Oliveira, 2017 .

Mittag–Leﬄer Functions and the Truncated V -fractional Derivative

J. Sousa, E. C. Oliveira, 2017 .

Fractional calculus via Laplace transform and its application in relaxation processes

E. Capelas de Oliveira, S. Jarosz, Jayme Vaz, 2019, Commun. Nonlinear Sci. Numer. Simul..

On the fractional Kelvin-Voigt oscillator

E. C. Oliveira, J. Vaz, 2022 .

Ulam–Hyers type stability for $$\psi $$-Hilfer fractional differential equations with impulses and delay

J. Vanterler da C. Sousa, E. Capelas De Oliveira, K. B. Lima, 2021, Computational and Applied Mathematics.

Fractional Diffusion with Time-Dependent Diffusion Coefficient

E. Capelas de Oliveira, F.S. Costa, Adrian R.G. Plata, 2021 .

Existence and Regularity of Weak Solutions for ψ -Hilfer Fractional Boundary Value Problem

J. Sousa, E. C. Oliveira, M. A. P. Pulido, 2021 .

Stability of ψ-Hilfer impulsive fractional differential equations

J. Vanterler da C. Sousa, E. Capelas De Oliveira, Kishor D. Kucche, 2019, Appl. Math. Lett..

A TruncatedV-Fractional Derivative in Rn

E. C. Oliveira, 2018 .

Solved Exercises in Fractional Calculus

E. C. Oliveira, 2019, Studies in Systems, Decision and Control.

Meeting the Fractional Calculus

E. C. Oliveira, 2021 .

On the mistake in defining fractional derivative using a non-singular kernel

E. C. Oliveira, J. Vaz, S. Jarosz, 2019, 1912.04422.

Grüss-Type Inequalities by Means of Generalized Fractional Integrals

D. S. Oliveira, J. Sousa, E. C. Oliveira, 2019, Bulletin of the Brazilian Mathematical Society, New Series.

A note on the Laplace transform and the variable-order differential operators

J. Sousa, E. C. Oliveira, 2017, 1712.00623.

Gruss-type inequality by mean of a fractional integral

D. S. Oliveira, J. Sousa, E. C. Oliveira, 2017, 1705.00965.

C A ] 1 8 D ec 2 01 7 A NEW FRACTIONAL DERIVATIVE OF VARIABLE ORDER WITH NON-SINGULAR KERNEL AND FRACTIONAL DIFFERENTIAL EQUATIONS

J. Sousa, E. C. Oliveira, 2018 .

Applications and Add-ons

Edmundo Capelas de Oliveira, E. C. Oliveira, 2019, Studies in Systems, Decision and Control.

Leibniz type rule: ψ-Hilfer fractional operator

J. Vanterler da C. Sousa, E. Capelas de Oliveira, J. Sousa, 2019, Commun. Nonlinear Sci. Numer. Simul..

A new truncated $M$-fractional derivative unifying some fractional derivatives with classical properties

J. Sousa, E. C. Oliveira, 2017 .

Ulam-Hyers stabilities of fractional functional differential equations

J. Sousa, E. C. Oliveira, F. G. Rodrigues, 2020 .

Existence and Regularity of Weak Solutions for $$\psi $$-Hilfer Fractional Boundary Value Problem

J. Vanterler da C. Sousa, M. Aurora P. Pulido, E. Capelas de Oliveira, 2021 .

On the Generalized (k,ρ)-Fractional Derivative

D. S. Oliveira, Edmundo Capelas de Oliveira, E. C. Oliveira, 2018 .

On the Euler-Bernoulli anel Timoshenko-Ehrenfest beam theories under fractional calculus approach

E. C. Oliveira, F. Bannwart, J. I. S. Lustosa, 2021, Proceeding Series of the Brazilian Society of Computational and Applied Mathematics.

On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in $$L^{N} \left( \mathbb {R} ^{N}\right) ^{N}$$

J. Sousa, E. C. Oliveira, S. Gala, 2023, Comput. Appl. Math..

On the uniqueness of mild solutions to the time-fractional Navier–Stokes equations in L N (cid:2) R N (cid:3) N

J. Sousa, E. C. Oliveira, S. Gala, 2023 .

Fractional differential equations: Ulam-Hyers stabilities

J. Sousa, E. C. Oliveira, 2021, Proceeding Series of the Brazilian Society of Computational and Applied Mathematics.

Analysis of the Fractional Integrodifferentiability of Power Functions and some Identities with Hypergeometric Functions

E. C. Oliveira, F. G. Rodrigues, 2016, 1612.07240.

On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in $L^{N} \left( \mathbb{R} ^{N}\right) ^{N} $

J. Sousa, E. C. Oliveira, 2019 .