2022 - Research.com Mathematics in Turkey Leader Award
His main research concerns Fractional calculus, Mathematical analysis, Applied mathematics, Ordinary differential equation and Nonlinear system. His biological study spans a wide range of topics, including Laplace transform, Derivative, Uniqueness and Differential equation. His Mathematical analysis study frequently draws connections to adjacent fields such as Type.
Dumitru Baleanu focuses mostly in the field of Applied mathematics, narrowing it down to topics relating to Convergence and, in certain cases, Homotopy. Dumitru Baleanu has researched Ordinary differential equation in several fields, including Partial differential equation and Pure mathematics. The Numerical partial differential equations study combines topics in areas such as Differential algebraic equation and Laplace transform applied to differential equations.
Dumitru Baleanu mainly focuses on Fractional calculus, Mathematical analysis, Applied mathematics, Nonlinear system and Partial differential equation. He studies Fractional calculus, namely Fractional differential. Differential equation, Boundary value problem, Numerical partial differential equations, Fractal and Collocation method are among the areas of Mathematical analysis where Dumitru Baleanu concentrates his study.
His Applied mathematics study incorporates themes from Laplace transform, Convergence, Derivative, Numerical analysis and Order. Nonlinear system connects with themes related to Work in his study. His research is interdisciplinary, bridging the disciplines of Ordinary differential equation and Partial differential equation.
His primary areas of investigation include Applied mathematics, Nonlinear system, Fractional calculus, Partial differential equation and Mathematical analysis. His Applied mathematics study integrates concerns from other disciplines, such as Laplace transform, Convergence, Derivative, Stability and Order. Dumitru Baleanu has researched Nonlinear system in several fields, including Nanofluid and Work.
His Fractional calculus study deals with Type intersecting with Pure mathematics. His Partial differential equation research includes themes of Heat transfer, Boundary value problem and Ordinary differential equation, Differential equation. His Mathematical analysis study focuses on Bilinear form in particular.
His primary scientific interests are in Applied mathematics, Fractional calculus, Nonlinear system, Mathematical analysis and Partial differential equation. His studies in Applied mathematics integrate themes in fields like Optimal control, Convergence, Derivative, Numerical analysis and Order. His work focuses on many connections between Fractional calculus and other disciplines, such as Differential equation, that overlap with his field of interest in Class.
As part of the same scientific family, Dumitru Baleanu usually focuses on Nonlinear system, concentrating on Work and intersecting with Power. He interconnects Mechanics, Heat transfer and Ordinary differential equation in the investigation of issues within Partial differential equation. His study looks at the intersection of Ordinary differential equation and topics like Pure mathematics with Convex function.
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Fractional Calculus: Models and Numerical Methods
Dumitru Baleanu;Kai Diethelm;Enrico Scalas;Juan J Trujillo.
New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model
Abdon Atangana;Dumitru Baleanu.
Thermal Science (2016)
Fractional Dynamics and Control
Dumitru Baleanu;Jos Antnio Tenreiro Machado;Albert C. J. Luo.
Fractional Dynamics and Control (2011)
New Trends in Nanotechnology and Fractional Calculus Applications
Dumitru Baleanu;Ziya B. Guvenc;J. A. Tenreiro Machado.
Anomalous diffusion expressed through fractional order differential operators in the Bloch–Torrey equation
Richard L. Magin;Osama Abdullah;Dumitru Baleanu;Xiaohong Joe Zhou.
Journal of Magnetic Resonance (2008)
Local Fractional Integral Transforms and Their Applications
Xiao Jun Yang;Dumitru Baleanu;H. M. Srivastava.
A new collection of real world applications of fractional calculus in science and engineering
HongGuang Sun;Yong Zhang;Dumitru Baleanu;Dumitru Baleanu;Wen Chen.
Communications in Nonlinear Science and Numerical Simulation (2018)
A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems
Om P. Agrawal;Dumitru Baleanu.
Journal of Vibration and Control (2007)
Discrete fractional logistic map and its chaos
Guo-Cheng Wu;Dumitru Baleanu;Dumitru Baleanu.
Nonlinear Dynamics (2014)
Fractal heat conduction problem solved by local fractional variation iteration method
Xiao-Jun Yang;Dumitru Baleanu.
Thermal Science (2013)
Chaos, Solitons and Fractals
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