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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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.
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The Extended Caputo-Fabrizio Derivative Of Order 0 <= Sigma < 1, Higher-Order Fractional Differential Equation, Series-Type Equation, The Extended Caputo–Fabrizio Derivative of Order 0 ≤ Σ< 1, 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
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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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64
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2018
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1
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