On Approximate Solutions for Two Higher-Order Caputo-Fabrizio Fractional Integro-Differential Equations
Loading...
Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Springeropen
Open Access Color
GOLD
Green Open Access
Yes
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 1%
Influence
Top 10%
Popularity
Top 10%
Abstract
We investigate the existence of solutions for two high-order fractional differential equations including the Caputo-Fabrizio derivative. In this way, we introduce some new tools for obtaining solutions for the high-order equations. Also, we discuss two illustrative examples to confirm the reported results. In this way one gets the possibility of utilizing some continuous or discontinuous mappings as coefficients in the fractional differential equations of higher order.
Description
Aydogan, Melike/0000-0002-4822-9571
ORCID
Keywords
Approximate Fixed Point, Higher-Order Fractional Differential Equation, Non-Singular Kernel, Caputo-Fabrizio Derivation, System, Financial economics, Fractional Differential Equations, Economics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Non-singular kernel, Differential equation, Numerical Methods for Singularly Perturbed Problems, Caputo-Fabrizio derivation, QA1-939, FOS: Mathematics, Differential algebraic equation, Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Order (exchange), Numerical Analysis, non-singular kernel, higher-order fractional differential equation, Applied Mathematics, Fractional calculus, Higher-order fractional differential equation, Partial differential equation, Applied mathematics, Approximate fixed point, Fractional Derivatives, Singular kernel, Modeling and Simulation, Derivative (finance), Physical Sciences, Fractional Calculus, Examples of differential equations, approximate fixed point, Mathematics, Ordinary differential equation, Finance, Fractional ordinary differential equations, Fractional derivatives and integrals, Theoretical approximation of solutions to ordinary differential equations, Singular nonlinear boundary value problems for ordinary differential equations
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Aydogan, S...et al. (2017) On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations,
Advances in Difference Equations.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
83
Source
Advances in Difference Equations
Volume
2017
Issue
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 19
Scopus : 103
Captures
Mendeley Readers : 6
SCOPUS™ Citations
103
checked on Feb 26, 2026
Web of Science™ Citations
95
checked on Feb 26, 2026
Page Views
4
checked on Feb 26, 2026
Google Scholar™
