Class information for:
Level 2: FRACTIONAL DIFFERENTIAL EQUATIONS//FRACTIONAL CALCULUS//FRACTIONAL DERIVATIVE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
935 10998 30.4 57%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
935 2             FRACTIONAL DIFFERENTIAL EQUATIONS//FRACTIONAL CALCULUS//FRACTIONAL DERIVATIVE 10998
1526 1                   ANOMALOUS DIFFUSION//HUGO STEINHAUS//CONTINUOUS TIME RANDOM WALK 2612
2265 1                   CAPUTO DERIVATIVE//OPERATIONAL MATRIX//CAPUTO FRACTIONAL DERIVATIVE 2302
3215 1                   FRACTIONAL ORDER SYSTEM//FRACTIONAL ORDER//FRACTIONAL ORDER CHAOTIC SYSTEM 2037
4048 1                   FRACTIONAL DIFFERENTIAL EQUATIONS//NONLINEAR DYNAM ANAL//FRACTIONAL DIFFERENTIAL INCLUSIONS 1857
11156 1                   FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS 1004
11378 1                   FRACTIONAL DERIVATIVE//FRACTIONAL DERIVATIVE DAMPING//FRACTIONAL CALCULUS 986
28762 1                   EIGEN COORDINATES METHOD//UISPA LAETA INEGI//PSEUDO PHASE PLANE 200

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 FRACTIONAL DIFFERENTIAL EQUATIONS authKW 1728637 7% 78% 800
2 FRACTIONAL CALCULUS authKW 1215927 7% 58% 755
3 FRACTIONAL DERIVATIVE authKW 867324 5% 54% 575
4 CAPUTO FRACTIONAL DERIVATIVE authKW 601423 3% 76% 284
5 CAPUTO DERIVATIVE authKW 594047 2% 81% 263
6 FRACTIONAL ORDER SYSTEM authKW 584106 2% 80% 262
7 FRACTIONAL CALCULUS AND APPLIED ANALYSIS journal 348765 2% 60% 211
8 ANOMALOUS DIFFUSION authKW 331771 3% 43% 280
9 FRACTIONAL ORDER authKW 322472 2% 60% 195
10 MITTAG LEFFLER FUNCTION authKW 316292 2% 53% 216

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics, Applied 91174 36% 1% 4008
2 Physics, Mathematical 41119 18% 1% 1925
3 Mathematics, Interdisciplinary Applications 28929 12% 1% 1317
4 Mathematics 18043 19% 0% 2048
5 Mechanics 15603 14% 0% 1521
6 Physics, Multidisciplinary 14413 18% 0% 1963
7 Physics, Fluids & Plasmas 11556 8% 1% 923
8 Automation & Control Systems 4583 5% 0% 505
9 Engineering, General 4040 5% 0% 561
10 Engineering, Mechanical 2947 6% 0% 675

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 HUGO STEINHAUS 179976 1% 66% 98
2 NONLINEAR DYNAM ANAL 141499 1% 76% 67
3 CSOIS 71216 0% 60% 43
4 GROUNDWATER STUDIES 69887 1% 38% 67
5 MATH 60410 28% 1% 3095
6 MATH COMP SCI 36450 6% 2% 698
7 ADV CONTROL SYST 36242 0% 26% 50
8 SYST THEORY ITS PLICAT 33984 0% 88% 14
9 SOFT MATTER MECH 30394 0% 44% 25
10 OCISB 29685 0% 63% 17

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 348765 2% 60% 211
2 ADVANCES IN DIFFERENCE EQUATIONS 150893 3% 16% 341
3 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 56231 3% 7% 275
4 ABSTRACT AND APPLIED ANALYSIS 52247 3% 7% 289
5 NONLINEAR DYNAMICS 47004 3% 6% 291
6 BOUNDARY VALUE PROBLEMS 29076 1% 8% 126
7 JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS 28180 1% 11% 90
8 COMPUTERS & MATHEMATICS WITH APPLICATIONS 23779 3% 3% 289
9 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 18940 1% 9% 76
10 APPLIED MATHEMATICS AND COMPUTATION 17380 3% 2% 336

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 FRACTIONAL DIFFERENTIAL EQUATIONS 1728637 7% 78% 800 Search FRACTIONAL+DIFFERENTIAL+EQUATIONS Search FRACTIONAL+DIFFERENTIAL+EQUATIONS
2 FRACTIONAL CALCULUS 1215927 7% 58% 755 Search FRACTIONAL+CALCULUS Search FRACTIONAL+CALCULUS
3 FRACTIONAL DERIVATIVE 867324 5% 54% 575 Search FRACTIONAL+DERIVATIVE Search FRACTIONAL+DERIVATIVE
4 CAPUTO FRACTIONAL DERIVATIVE 601423 3% 76% 284 Search CAPUTO+FRACTIONAL+DERIVATIVE Search CAPUTO+FRACTIONAL+DERIVATIVE
5 CAPUTO DERIVATIVE 594047 2% 81% 263 Search CAPUTO+DERIVATIVE Search CAPUTO+DERIVATIVE
6 FRACTIONAL ORDER SYSTEM 584106 2% 80% 262 Search FRACTIONAL+ORDER+SYSTEM Search FRACTIONAL+ORDER+SYSTEM
7 ANOMALOUS DIFFUSION 331771 3% 43% 280 Search ANOMALOUS+DIFFUSION Search ANOMALOUS+DIFFUSION
8 FRACTIONAL ORDER 322472 2% 60% 195 Search FRACTIONAL+ORDER Search FRACTIONAL+ORDER
9 MITTAG LEFFLER FUNCTION 316292 2% 53% 216 Search MITTAG+LEFFLER+FUNCTION Search MITTAG+LEFFLER+FUNCTION
10 FRACTIONAL DIFFUSION EQUATION 208737 1% 61% 123 Search FRACTIONAL+DIFFUSION+EQUATION Search FRACTIONAL+DIFFUSION+EQUATION

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref. in
cl.		 Shr. of ref. in
cl.		 Citations
1 JEON, JH , CHERSTVY, AG , BARKAI, E , METZLER, R , (2014) ANOMALOUS DIFFUSION MODELS AND THEIR PROPERTIES: NON-STATIONARITY, NON-ERGODICITY, AND AGEING AT THE CENTENARY OF SINGLE PARTICLE TRACKING.PHYSICAL CHEMISTRY CHEMICAL PHYSICS. VOL. 16. ISSUE 44. P. 24128 -24164 203 67% 156
2 METZLER, R , KLAFTER, J , (2000) THE RANDOM WALK'S GUIDE TO ANOMALOUS DIFFUSION: A FRACTIONAL DYNAMICS APPROACH.PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS. VOL. 339. ISSUE 1. P. 1 -77 100 62% 3416
3 METZLER, R , KLAFTER, J , (2004) THE RESTAURANT AT THE END OF THE RANDOM WALK: RECENT DEVELOPMENTS IN THE DESCRIPTION OF ANOMALOUS TRANSPORT BY FRACTIONAL DYNAMICS.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. VOL. 37. ISSUE 31. P. R161 -R208 161 57% 914
4 ROSSIKHIN, YA , SHITIKOVA, MV , (2010) APPLICATION OF FRACTIONAL CALCULUS FOR DYNAMIC PROBLEMS OF SOLID MECHANICS: NOVEL TRENDS AND RECENT RESULTS.APPLIED MECHANICS REVIEWS. VOL. 63. ISSUE 1. P. - 171 73% 87
5 BUTKOVSKII, AG , POSTNOV, SS , POSTNOVA, EA , (2013) FRACTIONAL INTEGRO-DIFFERENTIAL CALCULUS AND ITS CONTROL-THEORETICAL APPLICATIONS. I. MATHEMATICAL FUNDAMENTALS AND THE PROBLEM OF INTERPRETATION.AUTOMATION AND REMOTE CONTROL. VOL. 74. ISSUE 4. P. 543-574 123 90% 9
6 LI, CP , ZENG, FH , (2012) FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 22. ISSUE 4. P. - 87 97% 39
7 CHERSTVY, AG , METZLER, R , (2016) ANOMALOUS DIFFUSION IN TIME-FLUCTUATING NON-STATIONARY DIFFUSIVITY LANDSCAPES.PHYSICAL CHEMISTRY CHEMICAL PHYSICS. VOL. 18. ISSUE 34. P. 23840 -23852 107 65% 2
8 SAFDARI, H , CHERSTVY, AG , CHECHKIN, AV , BODROVA, A , METZLER, R , (2017) AGING UNDERDAMPED SCALED BROWNIAN MOTION: ENSEMBLE- AND TIME-AVERAGED PARTICLE DISPLACEMENTS, NONERGODICITY, AND THE FAILURE OF THE OVERDAMPING APPROXIMATION.PHYSICAL REVIEW E. VOL. 95. ISSUE 1. P. - 99 73% 0
9 BUTKOVSKII, AG , POSTNOV, SS , POSTNOVA, EA , (2013) FRACTIONAL INTEGRO-DIFFERENTIAL CALCULUS AND ITS CONTROL-THEORETICAL APPLICATIONS. II. FRACTIONAL DYNAMIC SYSTEMS: MODELING AND HARDWARE IMPLEMENTATION.AUTOMATION AND REMOTE CONTROL. VOL. 74. ISSUE 5. P. 725-749 92 81% 6
10 SANDEV, T , CHECHKIN, AV , KORABEL, N , KANTZ, H , SOKOLOV, IM , METZLER, R , (2015) DISTRIBUTED-ORDER DIFFUSION EQUATIONS AND MULTIFRACTALITY: MODELS AND SOLUTIONS.PHYSICAL REVIEW E. VOL. 92. ISSUE 4. P. - 76 92% 2

Classes with closest relation at Level 2


Rank Class id link
1 2408 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
2 2845 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//BLOCK PULSE FUNCTIONS
3 2089 MACROMOLECULAR CROWDING//LEVY WALK//CORRELATED RANDOM WALK
4 2653 BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
5 1287 DIFFERENCE EQUATIONS//MILD SOLUTION//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
6 3687 PHARMACEUT PHYS CHEM//DOUBLE COMPRESSED TABLET//MECHANOCHEMICAL POLYMERIZATION
7 905 POSITIVE SOLUTION//PERIODIC SOLUTION//FIXED POINT INDEX
8 3968 HYDRAZYL//N N SUBSTITUTED P PHENYLENEDIAMINES//SUPRAMOL CHEM INTERPHASE PROC
9 219 CHAOS//CHAOTIC SYSTEM//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
10 1288 STOCHASTIC RESONANCE//BISTABLE SYSTEM//BROWNIAN MOTORS

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