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Nonlinear dynamics, ISSN 1573-269X, 2013, Volume 75, Issue 1-2, pp. 283 - 287
...Nonlinear Dyn (2014) 75:283–287 DOI 10.1007/s11071-013-1065-7 ORIGINAL PAPER Discrete fractional logistic map and its chaos Guo-Cheng Wu · Dumitru Baleanu... 
Chaos | Engineering | Vibration, Dynamical Systems, Control | Discrete fractional calculus | Caputo delta difference | Mechanics | Automotive Engineering | Time scale | Mechanical Engineering | SYSTEM | ORDER | MECHANICS | CALCULUS | EQUATIONS | ENGINEERING, MECHANICAL | Bifurcations
Journal Article
Applied mathematics letters, ISSN 0893-9659, 2010, Volume 23, Issue 9, pp. 1129 - 1132
We establish the existence and uniqueness of solution for the boundary value problem 0 D t α ( x ′ ) + a ( t ) x λ = 0 , t > 0 , x ′ ( 0 ) = 0 , lim t → + ∞ x... 
Nonlinear oscillation | Emden–Fowler equation | Sequential differential equation | Emden-Fowler equation | MATHEMATICS, APPLIED | Computer science | Boundary value problems | Theorems | Mathematical analysis | Differential equations | Uniqueness | Oscillations | Derivatives
Journal Article
International journal of heat and mass transfer, ISSN 0017-9310, 2019, Volume 138, pp. 1222 - 1227
Journal Article
Nonlinear dynamics, ISSN 1573-269X, 2018, Volume 94, Issue 1, pp. 397 - 414
... derivatives with Mittag–Leffler kernel Dumitru Baleanu · Amin Jajarmi · Mojtaba Hajipour Received: 23 January 2017 / Accepted: 15 May 2018 / Published online: 26 May 2018... 
Fractional differential equation | Numerical method | Mittag–Leffler function | Nonsingular kernel | Numerical method D | MECHANICS | Mittag-Leffler function | CALCULUS | EQUATIONS | RELAXATION | MODEL | OPERATORS | ENGINEERING, MECHANICAL | Electrical engineering | Differential equations | Kernels | Nonlinear equations | Error analysis | Convolution | Numerical methods | Nonlinear systems
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 3/2013, Volume 71, Issue 4, pp. 603 - 603
... of Ravi P . Agarwal on his 65th birthday Dumitru Baleanu Received: 17 January 2013 / Accepted: 21 January 2013 / Published online: 29 January 2013 © Springer Science... 
Mechanics | Engineering | Vibration, Dynamical Systems, Control | Automotive Engineering | Mechanical Engineering | Differential equations | Nonlinear equations
Journal Article
Numerical algorithms, ISSN 1572-9265, 2017, Volume 79, Issue 3, pp. 679 - 695
Journal Article
Nonlinear dynamics, ISSN 1573-269X, 2014, Volume 80, Issue 4, pp. 1697 - 1703
Journal Article
Journal of Engineering Mechanics, ISSN 0733-9399, 05/2017, Volume 143, Issue 5
Journal Article
Journal of Vibration and Control, ISSN 1077-5463, 10/2017, Volume 23, Issue 18, pp. 2912 - 2925
Journal Article
Communications in nonlinear science & numerical simulation, ISSN 1007-5704, 2018, Volume 59, pp. 444 - 462
•A new formula is established for fractional derivatives with Mittag-Leffler kernel.•Solutions are constructed for certain fractional ODEs with this... 
Ordinary differential equations | Fractional calculus | Laplace transforms | ORDER | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | PHYSICS, FLUIDS & PLASMAS | CALCULUS | EQUATIONS | INTEGRAL ANALOG | PHYSICS, MATHEMATICAL | Analysis | Differential equations | Mathematics - Classical Analysis and ODEs
Journal Article