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1

A new collection of real world applications of fractional calculus in science and engineering

Sun, HongGuang, Zhang, Yong, Baleanu, Dumitru, Chen, Wen, Chen, YangQuan

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2018

Language:

english

File:

PDF, 1.24 MB

english, 2018

2

New fractional derivatives with non-singular kernel applied to the Burgers equation

Saad, Khaled M., Atangana, Abdon, Baleanu, Dumitru

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2018

Language:

english

File:

PDF, 741 KB

english, 2018

3

Stability analysis of Caputo fractional-order nonlinear systems revisited

Hadi Delavari, Dumitru Baleanu, Jalil Sadati

Journal:

Nonlinear Dynamics

Year:

2012

Language:

english

File:

PDF, 322 KB

english, 2012

4

[Series on Complexity, Nonlinearity and Chaos] Fractional Calculus Volume 3 (Models and Numerical Methods) || FRONT MATTER

Baleanu, Dumitru, Diethelm, Kai, Scalas, Enrico, Trujillo, Juan J

Year:

2012

Language:

english

File:

PDF, 336 KB

english, 2012

5

Lie symmetry analysis, exact solutions and conservation laws for the time fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation

Baleanu, Dumitru, Inc, Mustafa, Yusuf, Abdullahi, Aliyu, Aliyu Isa

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2018

Language:

english

File:

PDF, 1.50 MB

english, 2018

6

[Series on Complexity, Nonlinearity and Chaos] Asymptotic Integration and Stability Volume 04 (For Ordinary, Functional and Discrete Differential Equations of Fractional Order) || Existence and Uniqueness of Solution for Some Delay Differential Equations with Caputo Derivatives

Baleanu, Dumitru, Mustafa, Octavian G

Year:

2015

Language:

english

File:

PDF, 153 KB

english, 2015

7

On the global existence of solutions to a class of fractional differential equations

Dumitru Băleanu, Octavian G. Mustafa

Journal:

Computers & Mathematics with Applications

Year:

2010

Language:

english

File:

PDF, 434 KB

english, 2010

8

A new method of finding the fractional Euler–Lagrange and Hamilton equations within Caputo fractional derivatives

Dumitru Baleanu, Juan I. Trujillo

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2010

Language:

english

File:

PDF, 174 KB

english, 2010

9

Caputo-type modification of the Hadamard fractional derivatives

Fahd Jarad, Thabet Abdeljawad, Dumitru Baleanu

Journal:

Advances in Difference Equations

Year:

2012

Language:

english

File:

PDF, 171 KB

english, 2012

10

[Series on Complexity, Nonlinearity and Chaos] Asymptotic Integration and Stability Volume 04 (For Ordinary, Functional and Discrete Differential Equations of Fractional Order) || Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces

Baleanu, Dumitru, Mustafa, Octavian G

Year:

2015

Language:

english

File:

PDF, 157 KB

english, 2015

11

Measurement of para-xylene diffusivity in zeolites and analyzing desorption curves using the Mittag-Leffler function

Zaman, Sharif F., Baleanu, Dumitru, Petráš, Ivo

Journal:

Fractional Calculus and Applied Analysis

Year:

2016

Language:

english

File:

PDF, 405 KB

english, 2016

12

New exact solutions of Burgers’ type equations with conformable derivative

Çenesiz, Yücel, Baleanu, Dumitru, Kurt, Ali, Tasbozan, Orkun

Journal:

Waves in Random and Complex Media

Year:

2016

Language:

english

File:

PDF, 7.18 MB

english, 2016

13

A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative

Baleanu, Dumitru, Mousalou, Asef, Rezapour, Shahram

Journal:

Advances in Difference Equations

Year:

2017

Language:

english

File:

PDF, 1.29 MB

english, 2017

14

Dark and combined optical solitons, and modulation instability analysis in dispersive metamaterial

Inc, Mustafa, Aliyu, Aliyu Isa, Yusuf, Abdullahi, Baleanu, Dumitru

Journal:

Optik - International Journal for Light and Electron Optics

Year:

2018

Language:

english

File:

PDF, 856 KB

english, 2018

15

Fractional order model of immune cells influenced by cancer cells

Ucar, Esmehan, Özdemir, Necati, Altun, Eren, Kumar, D., Baleanu, D., Hristov, J., Nieto, J.J., Ozdemir, N.

Journal:

Mathematical Modelling of Natural Phenomena

Year:

2019

Language:

english

File:

PDF, 598 KB

english, 2019

16

Analysis of differential equations involving Caputo–Fabrizio fractional operator and its applications to reaction–diffusion equations

Shaikh, Amjad, Tassaddiq, Asifa, Nisar, Kottakkaran Sooppy, Baleanu, Dumitru

Journal:

Advances in Difference Equations

Year:

2019

Language:

english

File:

PDF, 1.93 MB

english, 2019

17

Chebyshev cardinal functions for a new class of nonlinear optimal control problems with dynamical systems of weakly singular variable-order fractional integral equations

Heydari, Mohammad Hossein, Mahmoudi, Mohammad Reza, Avazzadeh, Zakieh, Baleanu, Dumitru

Journal:

Journal of Vibration and Control

Year:

2020

Language:

english

File:

PDF, 857 KB

english, 2020

18

On exact solutions of a class of fractional Euler–Lagrange equations

Dumitru Baleanu, Juan J. Trujillo

Journal:

Nonlinear Dynamics

Year:

2008

Language:

english

File:

PDF, 186 KB

english, 2008

19

A new approach for solving a system of fractional partial differential equations

Jafari, H., Nazari, M., Baleanu, D., Khalique, C.M.

Journal:

Computers & Mathematics with Applications

Year:

2013

Language:

english

File:

PDF, 300 KB

english, 2013

20

A fractional Dirac equation and its solution

Muslih, Sami I, Agrawal, Om P, Baleanu, Dumitru

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2010

Language:

english

File:

PDF, 174 KB

english, 2010

21

Discrete fractional logistic map and its chaos

Wu, Guo-Cheng, Baleanu, Dumitru

Journal:

Nonlinear Dynamics

Year:

2014

Language:

english

File:

PDF, 1.46 MB

english, 2014

22

Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces

Ravichandran, Chokkalingam, Baleanu, Dumitru

Journal:

Advances in Difference Equations

Year:

2013

Language:

english

File:

PDF, 205 KB

english, 2013

23

On Caputo modification of the Hadamard fractional derivatives

Gambo, Yusuf Y, Jarad, Fahd, Baleanu, Dumitru, Abdeljawad, Thabet

Journal:

Advances in Difference Equations

Year:

2014

Language:

english

File:

PDF, 256 KB

english, 2014

24

Caputo-Fabrizio Derivative Applied to Groundwater Flow within Confined Aquifer

Atangana, Abdon, Baleanu, Dumitru

Journal:

Journal of Engineering Mechanics

Year:

2016

Language:

english

File:

PDF, 219 KB

english, 2016

25

On existence results for impulsive fractional neutral stochastic integro-differential equations with nonlocal and state-dependent delay conditions

Kalamani, Palaniyappan, Baleanu, Dumitru, Selvarasu, Siva, Mallika Arjunan, Mani

Journal:

Advances in Difference Equations

Year:

2016

Language:

english

File:

PDF, 1.75 MB

english, 2016

26

Solving differential equations of fractional order using an optimization technique based on training artificial neural network

Pakdaman, M., Ahmadian, A., Effati, S., Salahshour, S., Baleanu, D.

Journal:

Applied Mathematics and Computation

Year:

2017

Language:

english

File:

PDF, 1.23 MB

english, 2017

27

Optical solitons for Biswas-Milovic Model in nonlinear optics by Sine-Gordon equation method

Inc, Mustafa, Aliyu, Aliyu Isa, Yusuf, Abdullahi, Baleanu, Dumitru

Journal:

Optik - International Journal for Light and Electron Optics

Year:

2018

Language:

english

File:

PDF, 570 KB

english, 2018

28

On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations

Aydogan, S Melike, Baleanu, Dumitru, Mousalou, Asef, Rezapour, Shahram

Journal:

Advances in Difference Equations

Year:

2017

Language:

english

File:

PDF, 1.28 MB

english, 2017

29

[Nonlinear Systems and Complexity] Mathematical Methods in Engineering Volume 23 (Theoretical Aspects) || A Modified and Enhanced Ant Colony Optimization Algorithm for Traveling Salesman Problem

Taş, Kenan, Baleanu, Dumitru, Machado, J. A. Tenreiro

Year:

2019

Language:

english

File:

PDF, 334 KB

english, 2019

30

On high order fractional integro-differential equations including the Caputo–Fabrizio derivative

Aydogan, Melike S., Baleanu, Dumitru, Mousalou, Asef, Rezapour, Shahram

Journal:

Boundary Value Problems

Year:

2018

Language:

english

File:

PDF, 1.33 MB

english, 2018

31

Approximate solutions to the conformable Rosenau‐Hyman equation using the two‐step Adomian decomposition method with Pad é approximation

Akgül, Ali, Aliyu, Aliyu Isa, Inc, Mustafa, Yusuf, Abdullahi, Baleanu, Dumitru

Journal:

Mathematical Methods in the Applied Sciences

Year:

2019

Language:

english

File:

PDF, 6.21 MB

english, 2019

32

New optical soliton solutions of space-time fractional nonlinear dynamics of microtubules via three integration schemes

Owyed, Saud, Abdou, M.A., Abdel-Aty, Abdel-Haleem, Ibraheem, Awad A., Nekhili, Ramzi, Baleanu, Dumitru

Journal:

Journal of Intelligent & Fuzzy Systems

Year:

2019

Language:

english

File:

PDF, 101 KB

english, 2019

33

Generalized variational calculus in terms of multi-parameters fractional derivatives

Om P. Agrawal, Sami I. Muslih, Dumitru Baleanu

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2011

Language:

english

File:

PDF, 260 KB

english, 2011

34

On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives

Thabet Abdeljawad Maraaba, Fahd Jarad, Dumitru Baleanu

Journal:

Science China Mathematics

Year:

2008

Language:

english

File:

PDF, 213 KB

english, 2008

35

Caputo q-fractional initial value problems and a q-analogue Mittag–Leffler function

Thabet Abdeljawad, Dumitru Baleanu

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2011

Language:

english

File:

PDF, 225 KB

english, 2011

36

Vitamin C Content in Sea Buckthorn Berries (Hippophaë rhamnoides L. ssp. rhamnoides) and Related Products: A Kinetic Study on Storage Stability and the Determination of Processing Effects

D. Gutzeit, G. Baleanu, P. Winterhalter, G. Jerz

Journal:

Journal of Food Science

Year:

2008

Language:

english

File:

PDF, 211 KB

english, 2008

37

Fractional Newtonian mechanics

Dumitru Baleanu, Alireza K. Golmankhaneh, Raoul Nigmatullin, Ali K. Golmankhaneh

Journal:

Central European Journal of Physics

Year:

2010

Language:

english

File:

PDF, 344 KB

english, 2010

38

Stability of -fractional non-autonomous systems

Fahd Jarad, Thabet Abdeljawad, Dumitru Baleanu

Journal:

Nonlinear Analysis: Real World Applications

Year:

2013

Language:

english

File:

PDF, 216 KB

english, 2013

39

Global attractivity for fractional order delay partial integro-differential equations

Saïd Abbas, Dumitru Baleanu, Mouffak Benchohra

Journal:

Advances in Difference Equations

Year:

2012

Language:

english

File:

PDF, 209 KB

english, 2012

40

LMI-based stabilization of a class of fractional-order chaotic systems

Faieghi, Mohammadreza, Kuntanapreeda, Suwat, Delavari, Hadi, Baleanu, Dumitru

Journal:

Nonlinear Dynamics

Year:

2013

Language:

english

File:

PDF, 436 KB

english, 2013

41

Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives

Maraaba (Abdeljawad), Thabet, Baleanu, Dumitru, Jarad, Fahd

Journal:

Journal of Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 439 KB

english, 2008

42

Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator

Wei-Hua Su, Xiao-Jun Yang, H Jafari, Dumitru Baleanu

Journal:

Advances in Difference Equations

Year:

2013

Language:

english

File:

PDF, 153 KB

english, 2013

43

A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems

Agrawal, O. P., Baleanu, D.

Journal:

Journal of Vibration and Control

Year:

2007

Language:

english

File:

PDF, 225 KB

english, 2007

44

Discrete chaos in fractional delayed logistic maps

Wu, Guo-Cheng, Baleanu, Dumitru

Journal:

Nonlinear Dynamics

Year:

2015

Language:

english

File:

PDF, 906 KB

english, 2015

45

New Trends in Nanotechnology and Fractional Calculus Applications || Analytical Design Method for Fractional Order Controller Using Fractional Reference Model

Baleanu, Dumitru, Guvenc, Ziya B., Machado, J. A. Tenreiro

Year:

2010

Language:

english

File:

PDF, 284 KB

english, 2010

46

Fractional calculus: A survey of useful formulas

Valério, D., Trujillo, J. J., Rivero, M., Machado, J. A. T., Baleanu, D.

Journal:

The European Physical Journal Special Topics

Year:

2013

Language:

english

File:

PDF, 474 KB

english, 2013

47

Discrete chaos in fractional sine and standard maps

Wu, Guo-Cheng, Baleanu, Dumitru, Zeng, Sheng-Da

Journal:

Physics Letters A

Year:

2014

Language:

english

File:

PDF, 1.63 MB

english, 2014

48

Robust stabilization of fractional-order chaotic systems with linear controllers: LMI-based sufficient conditions

Faieghi, M. R., Kuntanapreeda, S., Delavari, H., Baleanu, D.

Journal:

Journal of Vibration and Control

Year:

2014

Language:

english

File:

PDF, 603 KB

english, 2014

49

A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems

Ezz-Eldien, S., Doha, E., Baleanu, D., Bhrawy, A.

Journal:

Journal of Vibration and Control

Year:

2015

Language:

english

File:

PDF, 701 KB

english, 2015

50

[Series on Complexity, Nonlinearity and Chaos] Asymptotic Integration and Stability Volume 04 (For Ordinary, Functional and Discrete Differential Equations of Fractional Order) || Position of the Zeros, the Bihari Inequality, and the Asymptotic Behavior of Solutions for the Differential Equations of Order α

Baleanu, Dumitru, Mustafa, Octavian G

Year:

2015

Language:

english

File:

PDF, 268 KB

english, 2015

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