On a New Class of Fractional Operators
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Springeropen
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
Abstract
This manuscript is based on the standard fractional calculus iteration procedure on conformable derivatives. We introduce new fractional integration and differentiation operators. We define spaces and present some theorems related to these operators.
Description
Abdeljawad, Thabet/0000-0002-8889-3768; Jarad, Fahd/0000-0002-3303-0623
Keywords
Conformable Derivatives, Fractional Conformable Integrals, Fractional Conformable Derivatives, Artificial intelligence, Class (philosophy), Conformable matrix, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Gene, Biochemistry, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Algebra over a field, Functional analysis, Applied Mathematics, FOS: Clinical medicine, Physics, Fractional calculus, Operator theory, Pure mathematics, Partial differential equation, Applied mathematics, Computer science, Fractional Derivatives, Chemistry, Modeling and Simulation, Dentistry, Physical Sciences, Medicine, Fractional Calculus, Calculus (dental), Mathematics, Ordinary differential equation, fractional conformable derivatives, Fractional ordinary differential equations, Fractional derivatives and integrals, fractional conformable integrals, conformable derivatives, Special integral transforms (Legendre, Hilbert, etc.)
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Jarad, F...et al. (2017). On a new class of fractional operators. Advance in Difference Equations, 247. http://dx.doi.org/10.1186/s13662-017-1306-z
WoS Q
Q1
Scopus Q

OpenCitations Citation Count
306
Source
Advances in Difference Equations
Volume
2017
Issue
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 48
Scopus : 402
Captures
Mendeley Readers : 48
SCOPUS™ Citations
418
checked on Feb 23, 2026
Web of Science™ Citations
389
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Page Views
1
checked on Feb 23, 2026
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