Class information for:
Level 1: MODIFIED RIEMANN LIOUVILLE DERIVATIVE//LOCAL FRACTIONAL DERIVATIVE//FRACTIONAL COMPLEX TRANSFORM

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
12675 1                   MODIFIED RIEMANN LIOUVILLE DERIVATIVE//LOCAL FRACTIONAL DERIVATIVE//FRACTIONAL COMPLEX TRANSFORM 919

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MODIFIED RIEMANN LIOUVILLE DERIVATIVE authKW 1747899 6% 88% 58
2 LOCAL FRACTIONAL DERIVATIVE authKW 1564841 6% 89% 51
3 FRACTIONAL COMPLEX TRANSFORM authKW 1003315 3% 91% 32
4 GROUNDWATER STUDIES address 888787 8% 36% 72
5 LOCAL FRACTIONAL CALCULUS authKW 657531 2% 91% 21
6 SUMUDU TRANSFORM authKW 502952 2% 67% 22
7 CONACYT NACL INVEST DESARROLLO TECNOL address 453877 2% 88% 15
8 FRACTIONAL TAYLORS SERIES authKW 413966 1% 93% 13
9 CAPUTO FABRIZIO FRACTIONAL DERIVATIVE authKW 353754 2% 74% 14
10 MODIFIED KUDRYASHOV METHOD authKW 311754 1% 91% 10

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 7709 37% 0% 337
2 Mathematics, Interdisciplinary Applications 3794 15% 0% 137
3 Physics, Multidisciplinary 2911 27% 0% 244
4 Thermodynamics 2231 13% 0% 120
5 Mathematics 1800 20% 0% 186
6 Physics, Mathematical 1455 12% 0% 107
7 Engineering, General 620 7% 0% 62
8 Mechanics 460 9% 0% 80
9 Engineering, Mechanical 133 5% 0% 44
10 Physics, Fluids & Plasmas 52 2% 0% 22

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GROUNDWATER STUDIES 888787 8% 36% 72
2 CONACYT NACL INVEST DESARROLLO TECNOL 453877 2% 88% 15
3 NACL INVEST DESARROLLO TECNOL 88664 2% 17% 15
4 NAT AGR SCI 80368 7% 4% 65
5 LMFN MATH 68582 0% 50% 4
6 MECH CIVIL ENGN 62778 4% 5% 37
7 UFRRJ IM DTL 61725 0% 60% 3
8 ART SCI 50468 8% 2% 71
9 CATEDRAT CONACYT NACL INVEST DESARROLLO TEC 45723 0% 67% 2
10 HEBEI DATA SCI PLICAT 38576 0% 38% 3

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 THERMAL SCIENCE 164683 10% 5% 96
2 ABSTRACT AND APPLIED ANALYSIS 34935 7% 2% 67
3 JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS 19383 3% 2% 25
4 ROMANIAN JOURNAL OF PHYSICS 18319 3% 2% 26
5 OPEN PHYSICS 17301 1% 5% 10
6 ADVANCES IN MATHEMATICAL PHYSICS 13049 2% 3% 15
7 ADVANCES IN DIFFERENCE EQUATIONS 12969 3% 1% 30
8 ROMANIAN REPORTS IN PHYSICS 8831 2% 2% 17
9 PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE 7468 1% 2% 10
10 ENTROPY 5790 2% 1% 20

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MODIFIED RIEMANN LIOUVILLE DERIVATIVE 1747899 6% 88% 58 Search MODIFIED+RIEMANN+LIOUVILLE+DERIVATIVE Search MODIFIED+RIEMANN+LIOUVILLE+DERIVATIVE
2 LOCAL FRACTIONAL DERIVATIVE 1564841 6% 89% 51 Search LOCAL+FRACTIONAL+DERIVATIVE Search LOCAL+FRACTIONAL+DERIVATIVE
3 FRACTIONAL COMPLEX TRANSFORM 1003315 3% 91% 32 Search FRACTIONAL+COMPLEX+TRANSFORM Search FRACTIONAL+COMPLEX+TRANSFORM
4 LOCAL FRACTIONAL CALCULUS 657531 2% 91% 21 Search LOCAL+FRACTIONAL+CALCULUS Search LOCAL+FRACTIONAL+CALCULUS
5 SUMUDU TRANSFORM 502952 2% 67% 22 Search SUMUDU+TRANSFORM Search SUMUDU+TRANSFORM
6 FRACTIONAL TAYLORS SERIES 413966 1% 93% 13 Search FRACTIONAL+TAYLORS+SERIES Search FRACTIONAL+TAYLORS+SERIES
7 CAPUTO FABRIZIO FRACTIONAL DERIVATIVE 353754 2% 74% 14 Search CAPUTO+FABRIZIO+FRACTIONAL+DERIVATIVE Search CAPUTO+FABRIZIO+FRACTIONAL+DERIVATIVE
8 MODIFIED KUDRYASHOV METHOD 311754 1% 91% 10 Search MODIFIED+KUDRYASHOV+METHOD Search MODIFIED+KUDRYASHOV+METHOD
9 FRACTAL CALCULUS 308639 1% 100% 9 Search FRACTAL+CALCULUS Search FRACTAL+CALCULUS
10 FRACTAL HEAT TRANSFER 308639 1% 100% 9 Search FRACTAL+HEAT+TRANSFER Search FRACTAL+HEAT+TRANSFER

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 10403 FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS
2 1948 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//HOMOTOPY PERTURBATION METHOD HPM
3 1542 FRACTIONAL DIFFUSION EQUATION//ANOMALOUS DIFFUSION//FRACTIONAL DERIVATIVE
4 7950 ADOMIAN DECOMPOSITION METHOD//ADOMIAN POLYNOMIALS//LANE EMDEN EQUATION
5 31115 BUBBLE ELECTROSPINNING//NANTONG TEXT//ENGN MODERN SILK
6 33 SOLITARY WAVE SOLUTION//EXP FUNCTION METHOD//NONLINEAR EVOLUTION EQUATIONS
7 2996 FRACTIONAL DIFFERENTIAL EQUATIONS//FRACTIONAL DIFFERENTIAL INCLUSIONS//NONLINEAR DYNAM ANAL
8 3703 OPERATIONAL MATRIX//TAU METHOD//VOLTERRA INTEGRAL EQUATION
9 29279 EIGEN COORDINATES METHOD//PSEUDO PHASE PLANE//UISPA LAETA INEGI
10 2571 FRACTIONAL ORDER SYSTEM//FRACTIONAL ORDER//FRACTIONAL ORDER CHAOTIC SYSTEM

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