The Extended Fractional Caputo-Fabrizio Derivative of Order 0 ≤ Σ < 1 on Cr[0,1] and the Existence of Solutions for Two Higher-Order Series-Type Differential Equations
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Date
2018
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Springeropen
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GOLD
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Abstract
We extend the fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and investigate two higher-order series-type fractional differential equations involving the extended derivation. Also, we provide an example to illustrate one of the main results.
Description
Keywords
The Extended Caputo-Fabrizio Derivative Of Order 0 <= Sigma < 1, Higher-Order Fractional Differential Equation, Series-Type Equation, Financial economics, Fractional Differential Equations, Economics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, The extended Caputo–Fabrizio derivative of order 0 ≤ σ < 1 $0\leq \sigma <1$, Differential equation, QA1-939, FOS: Mathematics, Biology, Anomalous Diffusion Modeling and Analysis, Order (exchange), Ecology, Series-type equation, Applied Mathematics, Physics, Fractional calculus, Pure mathematics, Higher-order fractional differential equation, Statistical and Nonlinear Physics, Partial differential equation, Applied mathematics, Sigma, Fractional Derivatives, Physics and Astronomy, Modeling and Simulation, Derivative (finance), Mathematical physics, FOS: Biological sciences, Physical Sciences, Fractional Calculus, Type (biology), Mathematics, Ordinary differential equation, Finance, Rogue Waves in Nonlinear Systems
Fields of Science
02 engineering and technology, 01 natural sciences, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering
Citation
Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram (2018). "The extended fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and the existence of solutions for two higher-order series-type differential equations", Advances in Difference Equations.
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OpenCitations Citation Count
64
Source
Advances in Difference Equations
Volume
2018
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