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1

Calculus of variations with fractional derivatives and fractional integrals

Ricardo Almeida, Delfim F.M. Torres

Journal:

Applied Mathematics Letters

Year:

2009

Language:

english

File:

PDF, 392 KB

english, 2009

2

Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan

NdaÃ¯rou, FaÃ¯Ã§al, Area, IvÃ¡n, Nieto, Juan J., Torres, Delfim F.M.

Journal:

Chaos, Solitons & Fractals

Year:

2020

File:

PDF, 1.11 MB

2020

3

A fractional calculus of variations for multiple integrals with application to vibrating string

Almeida, Ricardo, Malinowska, Agnieszka B., Torres, Delfim F. M.

Journal:

Journal of Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 349 KB

english, 2010

4

Fractional calculus of variations for a combined Caputo derivative

Agnieszka B. Malinowska, Delfim F. M. Torres

Journal:

Fractional Calculus and Applied Analysis

Year:

2011

Language:

english

File:

PDF, 219 KB

english, 2011

5

Lyapunov functions for fractional-order systems in biology: Methods and applications

Boukhouima, Adnane, Hattaf, Khalid, Lotfi, El Mehdi, Mahrouf, Marouane, Torres, Delfim F.M., Yousfi, Noura

Journal:

Chaos, Solitons & Fractals

Year:

2020

File:

PDF, 937 KB

2020

6

Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives

Ricardo Almeida, Delfim F.M. Torres

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2011

Language:

english

File:

PDF, 283 KB

english, 2011

7

Existence and uniqueness of solution for a fractional Riemann–Liouville initial value problem on time scales

Benkhettou, Nadia, Hammoudi, Ahmed, Torres, Delfim F.M.

Journal:

Journal of King Saud University - Science

Year:

2015

Language:

english

File:

PDF, 416 KB

english, 2015

8

Vaccination models and optimal control strategies to dengue

Rodrigues, Helena Sofia, Monteiro, M. Teresa T., Torres, Delfim F.M.

Journal:

Mathematical Biosciences

Year:

2014

Language:

english

File:

PDF, 1.04 MB

english, 2014

9

Generalizations of Gronwall–Bihari inequalities on time scales

Ferreira, Rui A.C., Torres, Delfim F.M.

Journal:

Journal of Difference Equations and Applications

Year:

2009

Language:

english

File:

PDF, 141 KB

english, 2009

10

Multiobjective fractional variational calculus in terms of a combined Caputo derivative

Agnieszka B. Malinowska, Delfim F.M. Torres

Journal:

Applied Mathematics and Computation

Year:

2012

Language:

english

File:

PDF, 240 KB

english, 2012

11

Variational calculus with conformable fractional derivatives

Lazo, Matheus J., Torres, Delfim F. M.

Journal:

IEEE/ACM Transactions on Audio, Speech, and Language Processing

Year:

2017

Language:

english

File:

PDF, 552 KB

english, 2017

12

Solutions of systems with the Caputo–Fabrizio fractional delta derivative on time scales

Mozyrska, Dorota, Torres, Delfim F.M., Wyrwas, Małgorzata

Journal:

Nonlinear Analysis Hybrid Systems

Year:

2019

Language:

english

File:

PDF, 387 KB

english, 2019

13

A new spectral method based on two classes of hat functions for solving systems of fractional differential equations and an application to respiratory syncytial virus infection

Nemati, Somayeh, Torres, Delfim F. M.

Journal:

Soft Computing - A Fusion of Foundations, Methodologies and Applications

Year:

2020

Language:

english

File:

PDF, 1.19 MB

english, 2020

14

[SpringerBriefs in Applied Sciences and Technology] The Variable-Order Fractional Calculus of Variations || Expansion Formulas for Fractional Derivatives

Almeida, Ricardo, Tavares, Dina, Torres, Delfim F. M.

Year:

2019

Language:

english

File:

PDF, 853 KB

english, 2019

15

Global Stability of a Caputo Fractional SIRS Model with General Incidence Rate

Sidi Ammi, Moulay Rchid, Tahiri, Mostafa, Torres, Delfim F. M.

Journal:

Mathematics in Computer Science

Year:

2020

File:

PDF, 407 KB

2020

16

Dengue in Cape Verde: Vector Control and Vaccination

RODRIGUES, HELENA SOFIA, MONTEIRO, M. TERESA T., TORRES, DELFIM F. M.

Journal:

Mathematical Population Studies

Year:

2013

Language:

english

File:

PDF, 643 KB

english, 2013

17

Fractional variational calculus with classical and combined Caputo derivatives

Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F.M. Torres

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2012

Language:

english

File:

PDF, 258 KB

english, 2012

18

Numerical approximations of fractional derivatives with applications

Pooseh, Shakoor, Almeida, Ricardo, Torres, Delfim F. M.

Journal:

Asian Journal of Control

Year:

2013

Language:

english

File:

PDF, 599 KB

english, 2013

19

Dynamics and Optimal Control of Ebola Transmission

Rachah, Amira, Torres, Delfim F. M.

Journal:

Mathematics in Computer Science

Year:

2016

Language:

english

File:

PDF, 1015 KB

english, 2016

20

Necessary optimality conditions for fractional action-like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)

Rami Ahmad El-Nabulsi, Delfim F. M. Torres

Journal:

Mathematical Methods in the Applied Sciences

Year:

2007

Language:

english

File:

PDF, 110 KB

english, 2007

21

A formulation of Noether's theorem for fractional problems of the calculus of variations

Gastão S.F. Frederico, Delfim F.M. Torres

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 152 KB

english, 2007

22

Introduction to the Fractional Calculus of Variations ||

Malinowska, Agnieszka B, Torres, Delfim F M

Year:

2012

Language:

english

File:

PDF, 342 KB

english, 2012

23

Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative

Agnieszka B. Malinowska, Delfim F.M. Torres

Journal:

Computers & Mathematics with Applications

Year:

2010

Language:

english

File:

PDF, 282 KB

english, 2010

24

Fractional conservation laws in optimal control theory

Gastão S. F. Frederico, Delfim F. M. Torres

Journal:

Nonlinear Dynamics

Year:

2008

Language:

english

File:

PDF, 316 KB

english, 2008

25

Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives

Sidi Ammi, Moulay Rchid, Torres, Delfim F.M.

Journal:

Computers & Mathematics with Applications

Year:

2019

Language:

english

File:

PDF, 312 KB

english, 2019

26

A conformable fractional calculus on arbitrary time scales

Benkhettou, Nadia, Hassani, Salima, Torres, Delfim F.M.

Journal:

Journal of King Saud University - Science

Year:

2015

Language:

english

File:

PDF, 468 KB

english, 2015

27

A survey on fuzzy fractional differential and optimal control nonlocal evolution equations

Agarwal, Ravi P., Baleanu, Dumitru, Nieto, Juan J., Torres, Delfim F.M., Zhou, Yong

Journal:

Journal of Computational and Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 875 KB

english, 2017

28

Existence theorems for a nonlinear second-order distributional differential equation

Liu, Wei, Ye, Guoju, Zhao, Dafang, Torres, Delfim F.M.

Journal:

Journal of King Saud University - Science

Year:

2017

Language:

english

File:

PDF, 353 KB

english, 2017

29

Hyperchaotic Fractional-Order Systems and Their Applications

Elsaid, Ahmed, Torres, Delfim F. M., Bhalekar, Sachin, Elsadany, Abdelalim, Elsonbaty, Amr

Journal:

Year:

2017

Language:

english

File:

PDF, 2.24 MB

english, 2017

30

[SpringerBriefs in Electrical and Computer Engineering] Quantum Variational Calculus ||

Malinowska, Agnieszka B., Torres, Delfim F.M.

Year:

2014

Language:

english

File:

PDF, 1.50 MB

english, 2014

31

Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics

Odzijewicz, Tatiana, Malinowska, Agnieszka B., Torres, Delfim F. M.

Journal:

Abstract and Applied Analysis

Year:

2012

Language:

english

File:

PDF, 196 KB

english, 2012

32

[SpringerBriefs in Applied Sciences and Technology] Advanced Methods in the Fractional Calculus of Variations ||

Malinowska, Agnieszka B., Odzijewicz, Tatiana, Torres, Delfim F.M.

Year:

2015

Language:

english

File:

PDF, 3.03 MB

english, 2015

33

Natural boundary conditions in the calculus of variations

Agnieszka B. Malinowska, Delfim F. M. Torres

Journal:

Mathematical Methods in the Applied Sciences

Year:

2010

Language:

english

File:

PDF, 171 KB

english, 2010

34

Fractional Herglotz variational principles with generalized Caputo derivatives

Garra, Roberto, Taverna, Giorgio S., Torres, Delfim F.M.

Journal:

Chaos, Solitons & Fractals

Year:

2017

Language:

english

File:

PDF, 361 KB

english, 2017

35

Calculus of variations on time scales with nabla derivatives

Natália Martins, Delfim F.M. Torres

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2009

Language:

english

File:

PDF, 327 KB

english, 2009

36

Predicting and controlling the Ebola infection

Rachah, Amira, Torres, Delfim F. M.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2016

Language:

english

File:

PDF, 820 KB

english, 2016

37

Leitmann’s direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales

Agnieszka B. Malinowska, Delfim F.M. Torres

Journal:

Applied Mathematics and Computation

Year:

2010

Language:

english

File:

PDF, 167 KB

english, 2010

38

Fractional order optimal control problems with free terminal time

Pooseh, Shakoor, Almeida, Ricardo, Torres, Delfim

Journal:

Journal of Industrial and Management Optimization

Year:

2013

Language:

english

File:

PDF, 249 KB

english, 2013

39

A Proper Extension of Noether's Symmetry Theorem for Nonsmooth Extremals of the Calculus of Variations

Torres, Delfim F.M.

Journal:

IFAC Proceedings Volumes

Year:

2003

Language:

english

File:

PDF, 452 KB

english, 2003

40

Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil

Ndaïrou, Faïçal, Area, Iván, Nieto, Juan J., Silva, Cristiana J., Torres, Delfim F. M.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2017

Language:

english

File:

PDF, 594 KB

english, 2017

41

Functional characterizations of trace spaces in Lipschitz domains

Touhami, Soumia, Chaira, Abdellatif, Torres, Delfim F. M.

Journal:

Banach Journal of Mathematical Analysis

Year:

2019

Language:

english

File:

PDF, 470 KB

english, 2019

42

Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets

Nemati, S., Lima, Pedro M., Torres, Delfim F. M.

Journal:

Numerical Algorithms

Year:

2020

File:

PDF, 746 KB

2020

43

A New Compartmental Epidemiological Model for COVID-19 with a Case Study of Portugal

Lemos-PaiÃ£o, Ana P., Silva, Cristiana J., Torres, Delfim F.M.

Journal:

Ecological Complexity

Year:

2020

File:

PDF, 332 KB

2020

44

Multiobjective approach to optimal control for a tuberculosis model

Denysiuk, Roman, Silva, Cristiana J., Torres, Delfim F. M.

Journal:

Optimization Methods and Software

Year:

2015

Language:

english

File:

PDF, 1.00 MB

english, 2015

45

Mathematical Modelling, Simulation, and Optimal Control of the 2014 Ebola Outbreak in West Africa

Rachah, Amira, Torres, Delfim F. M.

Journal:

Discrete Dynamics in Nature and Society

Year:

2015

Language:

english

File:

PDF, 2.32 MB

english, 2015

46

Modified optimal energy and initial memory of fractional continuous-time linear systems

Dorota Mozyrska, Delfim F.M. Torres

Journal:

Signal Processing

Year:

2011

Language:

english

File:

PDF, 186 KB

english, 2011

47

The Diamond Integral on Time Scales

Brito da Cruz, Artur M. C., Martins, Natália, Torres, Delfim F. M.

Journal:

Bulletin of the Malaysian Mathematical Sciences Society

Year:

2015

Language:

english

File:

PDF, 203 KB

english, 2015

48

Exponentials and Laplace transforms on nonuniform time scales

Ortigueira, Manuel D., Torres, Delfim F.M., Trujillo, Juan J.

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2016

Language:

english

File:

PDF, 598 KB

english, 2016

49

Fractional variational calculus for nondifferentiable functions

Ricardo Almeida, Delfim F.M. Torres

Journal:

Computers & Mathematics with Applications

Year:

2011

Language:

english

File:

PDF, 256 KB

english, 2011

50

Green’s theorem for generalized fractional derivatives

Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres

Journal:

Fractional Calculus and Applied Analysis

Year:

2013

Language:

english

File:

PDF, 188 KB

english, 2013

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