Class information for:
Level 1: FRACTIONAL DIFFUSION EQUATION//ANOMALOUS DIFFUSION//FRACTIONAL DERIVATIVE

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
89 3       MATHEMATICS, APPLIED//LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON NUMERICAL ANALYSIS 80538
680 2             HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD 13587
1542 1                   FRACTIONAL DIFFUSION EQUATION//ANOMALOUS DIFFUSION//FRACTIONAL DERIVATIVE 2620

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FRACTIONAL DIFFUSION EQUATION authKW 1262467 6% 69% 153
2 ANOMALOUS DIFFUSION authKW 604418 7% 27% 188
3 FRACTIONAL DERIVATIVE authKW 447027 8% 18% 207
4 MITTAG LEFFLER FUNCTION authKW 421338 5% 28% 126
5 FRACTIONAL DIFFUSION authKW 418416 3% 46% 76
6 CAPUTO DERIVATIVE authKW 298334 4% 25% 98
7 FRACTIONAL CALCULUS AND APPLIED ANALYSIS journal 282770 4% 24% 97
8 FRACTIONAL DIFFUSION WAVE EQUATION authKW 278411 1% 93% 25
9 TIME FRACTIONAL DIFFUSION EQUATION authKW 251720 1% 70% 30
10 CAPUTO FRACTIONAL DERIVATIVE authKW 249325 4% 22% 94

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 33849 45% 0% 1183
2 Physics, Mathematical 15366 22% 0% 569
3 Mathematics, Interdisciplinary Applications 9561 14% 0% 368
4 Physics, Multidisciplinary 2637 16% 0% 414
5 Mathematics 2256 14% 0% 367
6 Physics, Fluids & Plasmas 2171 8% 0% 197
7 Mechanics 1676 10% 0% 254
8 Computer Science, Interdisciplinary Applications 1069 6% 0% 159
9 Engineering, General 974 5% 0% 135
10 Statistics & Probability 423 4% 0% 95

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GANSU PL MATH COMPLEX SYST 132583 1% 53% 21
2 OCISB 124128 1% 61% 17
3 SOFT MATTER MECH 100196 1% 33% 25
4 RADIOL INFORMAT STAT 44393 0% 31% 12
5 ERSTES MATH 38486 0% 80% 4
6 UMRA CLIMAT SOL ENVIRONM 38486 0% 80% 4
7 OFF OUTER SPACE AFFAIRS 35480 0% 27% 11
8 FUJIAN PROV MATH MODELING HIGH PERFORMA 32192 1% 18% 15
9 EPFL SB MATHICSE MCSS 32071 0% 67% 4
10 GRP FIS ESTADIST 27589 1% 15% 15

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 282770 4% 24% 97
2 JOURNAL OF COMPUTATIONAL PHYSICS 17138 5% 1% 129
3 COMPUTERS & MATHEMATICS WITH APPLICATIONS 15258 4% 1% 112
4 NUMERICAL ALGORITHMS 10703 2% 2% 41
5 EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 10603 0% 7% 12
6 JOURNAL OF SCIENTIFIC COMPUTING 9928 1% 2% 36
7 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 7624 1% 2% 30
8 APPLIED MATHEMATICS AND COMPUTATION 6896 4% 1% 102
9 MATHEMATICAL MODELLING OF NATURAL PHENOMENA 5348 1% 3% 17
10 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 4892 2% 1% 40

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 FRACTIONAL DIFFUSION EQUATION 1262467 6% 69% 153 Search FRACTIONAL+DIFFUSION+EQUATION Search FRACTIONAL+DIFFUSION+EQUATION
2 ANOMALOUS DIFFUSION 604418 7% 27% 188 Search ANOMALOUS+DIFFUSION Search ANOMALOUS+DIFFUSION
3 FRACTIONAL DERIVATIVE 447027 8% 18% 207 Search FRACTIONAL+DERIVATIVE Search FRACTIONAL+DERIVATIVE
4 MITTAG LEFFLER FUNCTION 421338 5% 28% 126 Search MITTAG+LEFFLER+FUNCTION Search MITTAG+LEFFLER+FUNCTION
5 FRACTIONAL DIFFUSION 418416 3% 46% 76 Search FRACTIONAL+DIFFUSION Search FRACTIONAL+DIFFUSION
6 CAPUTO DERIVATIVE 298334 4% 25% 98 Search CAPUTO+DERIVATIVE Search CAPUTO+DERIVATIVE
7 FRACTIONAL DIFFUSION WAVE EQUATION 278411 1% 93% 25 Search FRACTIONAL+DIFFUSION+WAVE+EQUATION Search FRACTIONAL+DIFFUSION+WAVE+EQUATION
8 TIME FRACTIONAL DIFFUSION EQUATION 251720 1% 70% 30 Search TIME+FRACTIONAL+DIFFUSION+EQUATION Search TIME+FRACTIONAL+DIFFUSION+EQUATION
9 CAPUTO FRACTIONAL DERIVATIVE 249325 4% 22% 94 Search CAPUTO+FRACTIONAL+DERIVATIVE Search CAPUTO+FRACTIONAL+DERIVATIVE
10 DIFFUSION WAVE EQUATION 212074 1% 77% 23 Search DIFFUSION+WAVE+EQUATION Search DIFFUSION+WAVE+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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 5464 HUGO STEINHAUS//SMART DEVICE INNOVAT SCI TEAM//NEW DEVICES GRP
2 12675 MODIFIED RIEMANN LIOUVILLE DERIVATIVE//LOCAL FRACTIONAL DERIVATIVE//FRACTIONAL COMPLEX TRANSFORM
3 10403 FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS
4 12546 FRACTIONAL DERIVATIVE//FRACTIONAL DERIVATIVE DAMPING//FRACTIONAL DERIVATIVE CONSTITUTIVE RELATION
5 12425 FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//INTEGRO DIFFERENTIAL OPERATORS
6 3703 OPERATIONAL MATRIX//TAU METHOD//VOLTERRA INTEGRAL EQUATION
7 2571 FRACTIONAL ORDER SYSTEM//FRACTIONAL ORDER//FRACTIONAL ORDER CHAOTIC SYSTEM
8 29279 EIGEN COORDINATES METHOD//PSEUDO PHASE PLANE//UISPA LAETA INEGI
9 2996 FRACTIONAL DIFFERENTIAL EQUATIONS//FRACTIONAL DIFFERENTIAL INCLUSIONS//NONLINEAR DYNAM ANAL
10 18225 EXPONENTIAL INTEGRATORS//MATRIX FUNCTIONS//MATRIX EXPONENTIAL

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