Class information for:
Level 2: FRACTIONAL CALCULUS//FRACTIONAL DERIVATIVE//FRACTIONAL ORDER SYSTEM

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
1392 7642 29.3 53%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)



ID, lev.
above
Publications Label for level above
368 30380 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD

Classes in level below (level 1)



ID, lev. below Publications Label for level below
789 2977 HUGO STEINHAUS//ANOMALOUS DIFFUSION//FRACTIONAL DIFFUSION EQUATION
4586 1688 FRACTIONAL ORDER SYSTEM//FRACTIONAL ORDER SYSTEMS//FRACTIONAL ORDER CHAOTIC SYSTEM
9154 1115 MODIFIED RIEMANN LIOUVILLE DERIVATIVE//FRACTIONAL TAYLORS SERIES//FRACTIONAL EULER LAGRANGE EQUATIONS
13904 742 FRACTIONAL DERIVATIVE DAMPING//FRACTIONAL DERIVATIVES//FRACTIONAL DERIVATIVE CONSTITUTIVE RELATION
21510 358 SYSTEM OF NONLINEAR INTEGRO DIFFERENTIAL EQUATIONS//NONLINEAR INTEGRO DIFFERENTIAL SYSTEM//ILIA VEKUA PL MATH
24064 272 GEOMETRY NONLINEARITY//MATH MODELING INFORMAT TECHNOL//VISCOELASTIC PLATES
24659 255 MATERIALS WITH MEMORY//MAGNETO VISCOELASTIC MATERIALS//NONLINEAR HYPERBOLIC PARABOLIC SYSTEMS
25382 235 EIGEN COORDINATES METHOD//PSEUDO PHASE PLANE//N FOLD CONVOLUTION

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 FRACTIONAL CALCULUS Author keyword 286 42% 7% 524
2 FRACTIONAL DERIVATIVE Author keyword 137 40% 4% 269
3 FRACTIONAL ORDER SYSTEM Author keyword 129 66% 2% 120
4 ANOMALOUS DIFFUSION Author keyword 107 38% 3% 227
5 HUGO STEINHAUS Address 103 71% 1% 83
6 FRACTIONAL DIFFUSION EQUATION Author keyword 95 65% 1% 89
7 FRACTIONAL DERIVATIVES Author keyword 90 46% 2% 145
8 FRACTIONAL ORDER SYSTEMS Author keyword 73 56% 1% 88
9 FRACTIONAL ORDER CHAOTIC SYSTEM Author keyword 63 78% 1% 42
10 FRACTIONAL ORDER Author keyword 61 39% 2% 124

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 FRACTIONAL CALCULUS 286 42% 7% 524 Search FRACTIONAL+CALCULUS Search FRACTIONAL+CALCULUS
2 FRACTIONAL DERIVATIVE 137 40% 4% 269 Search FRACTIONAL+DERIVATIVE Search FRACTIONAL+DERIVATIVE
3 FRACTIONAL ORDER SYSTEM 129 66% 2% 120 Search FRACTIONAL+ORDER+SYSTEM Search FRACTIONAL+ORDER+SYSTEM
4 ANOMALOUS DIFFUSION 107 38% 3% 227 Search ANOMALOUS+DIFFUSION Search ANOMALOUS+DIFFUSION
5 FRACTIONAL DIFFUSION EQUATION 95 65% 1% 89 Search FRACTIONAL+DIFFUSION+EQUATION Search FRACTIONAL+DIFFUSION+EQUATION
6 FRACTIONAL DERIVATIVES 90 46% 2% 145 Search FRACTIONAL+DERIVATIVES Search FRACTIONAL+DERIVATIVES
7 FRACTIONAL ORDER SYSTEMS 73 56% 1% 88 Search FRACTIONAL+ORDER+SYSTEMS Search FRACTIONAL+ORDER+SYSTEMS
8 FRACTIONAL ORDER CHAOTIC SYSTEM 63 78% 1% 42 Search FRACTIONAL+ORDER+CHAOTIC+SYSTEM Search FRACTIONAL+ORDER+CHAOTIC+SYSTEM
9 FRACTIONAL ORDER 61 39% 2% 124 Search FRACTIONAL+ORDER Search FRACTIONAL+ORDER
10 FRACTIONAL FOKKER PLANCK EQUATION 55 78% 0% 36 Search FRACTIONAL+FOKKER+PLANCK+EQUATION Search FRACTIONAL+FOKKER+PLANCK+EQUATION

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 ANOMALOUS DIFFUSION 437 36% 13% 978
2 TIME RANDOM WALKS 168 66% 2% 155
3 ANOMALOUS SUBDIFFUSION EQUATION 163 95% 1% 55
4 SUBDIFFUSION 124 70% 1% 103
5 FRACTIONAL DIFFUSION 116 64% 2% 115
6 FRACTIONAL DYNAMICS 114 55% 2% 141
7 EXTERNAL FORCE FIELDS 102 95% 0% 35
8 LEVY FLIGHTS 95 50% 2% 136
9 RANDOM WALKS 88 17% 6% 464
10 SUB DIFFUSION 86 90% 0% 37

Journals



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 52 40% 1% 102

Reviews



Title Publ. year Cit. Active references % act. ref.
to same field
The random walk's guide to anomalous diffusion: a fractional dynamics approach 2000 2850 156 59%
A toolbox for determining subdiffusive mechanisms 2015 5 134 49%
The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics 2004 739 278 56%
Models of anomalous diffusion in crowded environments 2012 85 74 62%
A survey on the stability of fractional differential equations 2011 64 46 80%
Anomalous transport in the crowded world of biological cells 2013 92 275 19%
Fractional calculus: A survey of useful formulas 2013 27 8 50%
Introduction to fractional integrability and differentiability 2011 24 21 100%
Fractional control of heat diffusion systems 2008 53 8 88%
Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results 2010 49 222 68%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 HUGO STEINHAUS 103 71% 1.1% 83
2 CSOIS 43 62% 0.6% 44
3 OCISB 18 65% 0.2% 17
4 SYST THEORY ITS PLICAT 18 83% 0.1% 10
5 SOFT MATTER MECH 18 57% 0.3% 21
6 ADV CONTROL SYST 17 29% 0.6% 48
7 BERG 12 27% 0.5% 36
8 GROUNDWATER STUDIES 11 25% 0.5% 37
9 GANSU PL MATH COMPLEX SYST 11 69% 0.1% 9
10 RADIOL INFORMAT STAT 10 52% 0.2% 14

Related classes at same level (level 2)



Rank Relatedness score Related classes
1 0.0000018166 TELEGRAPH PROCESS//UMR C5626//RANDOM FLIGHTS
2 0.0000015277 OPERATIONAL MATRIX//TAU METHOD//TAYLOR POLYNOMIALS AND SERIES
3 0.0000012573 NEUTRIX LIMIT//HYPERASYMPTOTICS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
4 0.0000012534 NONEXTENSIVE STATISTICAL MECHANICS//TSALLIS STATISTICS//NONEXTENSIVITY
5 0.0000011814 POSITIVE SOLUTION//FIXED POINT THEOREMS//MONOTONE ITERATIVE TECHNIQUE
6 0.0000011248 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
7 0.0000010392 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//CHAOS//CHAOS SYNCHRONIZATION
8 0.0000009912 WATER RESOURCES RESEARCH//MATRIX DIFFUSION//REACTIVE TRANSPORT
9 0.0000008852 CONSTRAINED LAYER DAMPING//ACTIVE CONSTRAINED LAYER DAMPING//ADV MAT MECH
10 0.0000007977 STOCHASTIC RESONANCE//COHERENCE RESONANCE//FLUCTUATION THEOREM