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Fractional Derivatives with Mittag-Leffler Kernel

Overview of attention for book
Cover of 'Fractional Derivatives with Mittag-Leffler Kernel'

Table of Contents

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    Book Overview
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    Chapter 1 Reproducing Kernel Method for Fractional Derivative with Non-local and Non-singular Kernel
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    Chapter 2 Necessary and Sufficient Optimality Conditions for Fractional Problems Involving Atangana–Baleanu’s Derivatives
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    Chapter 3 Variable order Mittag-Leffler fractional operators on isolated time scales and application to the calculus of variations
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    Chapter 4 Modeling and Analysis of Fractional Leptospirosis Model Using Atangana–Baleanu Derivative
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    Chapter 5 Dual Fractional Analysis of Blood Alcohol Model Via Non-integer Order Derivatives
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    Chapter 6 Parameter Estimation of Fractional Gompertz Model Using Cuckoo Search Algorithm
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    Chapter 7 Existence and Uniqueness Results for a Novel Complex Chaotic Fractional Order System
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    Chapter 8 On the Chaotic Pole of Attraction with Nonlocal and Nonsingular Operators in Neurobiology
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    Chapter 9 Modulating Chaotic Oscillations in Autocatalytic Reaction Networks Using Atangana–Baleanu Operator
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    Chapter 10 Development and Elaboration of a Compound Structure of Chaotic Attractors with Atangana–Baleanu Operator
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    Chapter 11 On the Atangana–Baleanu Derivative and Its Relation to the Fading Memory Concept: The Diffusion Equation Formulation
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    Chapter 12 Numerical Solutions and Pattern Formation Process in Fractional Diffusion-Like Equations
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    Chapter 13 Heat Transfer Analysis in Ethylene Glycol Based Molybdenum Disulfide Generalized Nanofluid via Atangana–Baleanu Fractional Derivative Approach
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    Chapter 14 Atangana–Baleanu Derivative with Fractional Order Applied to the Gas Dynamics Equations
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    Chapter 15 New Direction of Atangana–Baleanu Fractional Derivative with Mittag-Leffler Kernel for Non-Newtonian Channel Flow
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    Chapter 16 Exact Solutions for the Liénard Type Model via Fractional Homotopy Methods
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    Chapter 17 Model of Coupled System of Fractional Reaction-Diffusion Within a New Fractional Derivative Without Singular Kernel
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    Chapter 18 Upwind-Based Numerical Approximation of a Space-Time Fractional Advection-Dispersion Equation for Groundwater Transport Within Fractured Systems
Attention for Chapter 3: Variable order Mittag-Leffler fractional operators on isolated time scales and application to the calculus of variations
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Chapter title
Variable order Mittag-Leffler fractional operators on isolated time scales and application to the calculus of variations
Chapter number 3
Book title
Fractional Derivatives with Mittag-Leffler Kernel
Published in
arXiv, September 2018
DOI 10.1007/978-3-030-11662-0_3
Book ISBNs
978-3-03-011661-3, 978-3-03-011662-0
Authors

Thabet Abdeljawad, Raziye Mert, Delfim F. M. Torres, Abdeljawad, Thabet, Mert, Raziye, Torres, Delfim F. M.

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X Demographics

X Demographics

The data shown below were collected from the profiles of 3 X users who shared this research output. Click here to find out more about how the information was compiled.
 Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 4 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 4 100%

Demographic breakdown

Readers by professional status Count As %
Professor 1 25%
Researcher 1 25%
Other 1 25%
Student > Postgraduate 1 25%
Readers by discipline Count As %
Engineering 2 50%
Computer Science 1 25%
Biochemistry, Genetics and Molecular Biology 1 25%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 08 September 2018.
All research outputs
#16,069,695
of 23,852,579 outputs
Outputs from arXiv
#397,621
of 990,619 outputs
Outputs of similar age
#215,017
of 337,767 outputs
Outputs of similar age from arXiv
#12,617
of 23,897 outputs
Altmetric has tracked 23,852,579 research outputs across all sources so far. This one is in the 22nd percentile – i.e., 22% of other outputs scored the same or lower than it.
So far Altmetric has tracked 990,619 research outputs from this source. They receive a mean Attention Score of 4.0. This one has gotten more attention than average, scoring higher than 52% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 337,767 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 27th percentile – i.e., 27% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 23,897 others from the same source and published within six weeks on either side of this one. This one is in the 35th percentile – i.e., 35% of its contemporaries scored the same or lower than it.

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