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On a New Class of Fractional Operators

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Date

2017

Journal Title

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Volume Title

Publisher

Springeropen

Open Access Color

GOLD

Green Open Access

No

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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

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OpenCitations Citation Count
306

Source

Advances in Difference Equations

Volume

2017

Issue

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Citations

CrossRef : 48

Scopus : 402

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Mendeley Readers : 48

SCOPUS™ Citations

418

checked on Feb 23, 2026

Web of Science™ Citations

389

checked on Feb 23, 2026

Page Views

1

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28.46256743

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