The Mean Value Theorem and Taylor's Theorem for Fractional Derivatives With Mittag-Leffler Kernel
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Date
2018
Authors
Journal Title
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Publisher
Pushpa Publishing House
Open Access Color
GOLD
Green Open Access
Yes
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No
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Abstract
We establish analogues of the mean value theorem and Taylor's theorem for fractional differential operators defined using a Mittag-Leffler kernel. We formulate a new model for the fractional Boussinesq equation by using this new Taylor series expansion.
Description
Fernandez, Arran/0000-0002-1491-1820
ORCID
Keywords
Fractional Calculus, Mean Value Theorem, Taylor'S Theorem, Mittag-Leffler Kernel, Mean value theorem, Fractional Differential Equations, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Mittag–Leffler kernel, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, QA1-939, FOS: Mathematics, Taylor series, Fixed-point theorem, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Time-Fractional Diffusion Equation, Research, Applied Mathematics, Taylor's theorem, Mean value theorem (divided differences), Pure mathematics, Fractional calculus, Partial differential equation, Applied mathematics, Fractional Derivatives, Taylor’s theorem, Picard–Lindelöf theorem, Modeling and Simulation, Physical Sciences, Kernel (algebra), Fractional Calculus, Mathematics, Ordinary differential equation, fractional calculus, Mittag-Leffler functions and generalizations, Fractional derivatives and integrals, Mittag-Leffler kernel, mean value theorem
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Fernandez, Arran; Baleanu, Dumitru, "The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel", Advances in Difference Equations, (March 2018).
WoS Q
Q1
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OpenCitations Citation Count
35
Source
Advances in Difference Equations
Volume
2018
Issue
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CrossRef : 16
Scopus : 45
PubMed : 5
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Mendeley Readers : 8
SCOPUS™ Citations
45
checked on Feb 23, 2026
Web of Science™ Citations
39
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3
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