On a new class of fractional operators
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2017
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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.
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Keywords
Conformable Derivatives, Fractional Conformable Derivatives, Fractional Conformable Integrals, 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, Fahd...et al. (2017). "On a new class of fractional operators", Advances in Difference Equations, Vol. 2017, No. 1.
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OpenCitations Citation Count
306
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Advances in Difference Equations
Volume
2017
Issue
1
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CrossRef : 48
Scopus : 402
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