On High Order Fractional Integro-Differential Equations Including the Caputo-Fabrizio Derivative
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Abstract
By using the fractional Caputo-Fabrizio derivative, we introduce two types new high order derivations called CFD and DCF. Also, we study the existence of solutions for two such type high order fractional integro-differential equations. We illustrate our results by providing two examples.
Description
Aydogan, Melike/0000-0002-4822-9571
Keywords
Caputo-Fabrizio Derivative, Fractional Integro-Differential Equation, High Order Derivation, Caputo–Fabrizio Derivative, Financial economics, Fractional Differential Equations, Economics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Caputo–Fabrizio derivative, Differential equation, FOS: Mathematics, Functional Differential Equations, Biology, High order derivation, Anomalous Diffusion Modeling and Analysis, Order (exchange), QA299.6-433, Fractional integro-differential equation, Ecology, Applied Mathematics, Fractional calculus, Statistical and Nonlinear Physics, Partial differential equation, Applied mathematics, Fractional Derivatives, Physics and Astronomy, Modeling and Simulation, Derivative (finance), FOS: Biological sciences, Physical Sciences, Type (biology), Analysis, Mathematics, Ordinary differential equation, Finance, Rogue Waves in Nonlinear Systems, fractional integro-differential equation, Caputo-Fabrizio derivative, Fractional derivatives and integrals, high order derivation, Functional-differential equations with fractional derivatives
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Aydogan, Melike S...et al. (2018). On high order fractional integro-differential equations including the Caputo-Fabrizio derivative,
Boundary Value Problems.
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149
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Volume
2018
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1
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