Class information for:
Level 1: FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS

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
10403 1                   FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS 1096

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FRACTIONAL EULER LAGRANGE EQUATIONS authKW 599047 2% 83% 25
2 FRACTIONAL OPTIMAL CONTROL authKW 451316 2% 83% 19
3 FRACTIONAL CALCULUS OF VARIATIONS authKW 404360 1% 94% 15
4 FRACTIONAL CALCULUS authKW 362340 12% 9% 134
5 FRACTIONAL VARIATIONAL PROBLEMS authKW 359428 1% 83% 15
6 DIAMOND OPERATOR authKW 345056 1% 100% 12
7 FRACTIONAL OPTIMAL CONTROL PROBLEM authKW 331519 1% 82% 14
8 NON INTEGER DIMENSIONAL SPACE authKW 287546 1% 100% 10
9 FRACTAL MEDIA authKW 283110 1% 62% 16
10 FRACTIONAL VARIATIONAL PRINCIPLES authKW 230037 1% 100% 8

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 9535 37% 0% 409
2 Physics, Mathematical 5104 19% 0% 213
3 Mechanics 2836 18% 0% 201
4 Physics, Multidisciplinary 2021 21% 0% 227
5 Mathematics, Interdisciplinary Applications 1761 9% 0% 104
6 Mathematics 1051 15% 0% 161
7 Engineering, Mechanical 618 8% 0% 93
8 Physics, Fluids & Plasmas 504 6% 0% 63
9 Operations Research & Management Science 315 4% 0% 47
10 Acoustics 179 3% 0% 30

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 UROMIA BRANCH 119809 0% 83% 5
2 DEV MATH PLICAT 99372 2% 16% 22
3 DEV MATH PLICAT CIDMA 81658 1% 20% 14
4 SKOBELTSYN NUCL PHYS 80501 9% 3% 97
5 CHAIR DIFFERENTIAL EQUAT COMP SCI 64696 0% 75% 3
6 INFN GRP EGATO TRENTO 64696 0% 75% 3
7 MATH LEURS PLICAT PAU LM 64696 0% 75% 3
8 SHEFFIELD FLUID MECH GRP 58697 1% 29% 7
9 DIPARTAMENTO MATEMAT FIS 57509 0% 100% 2
10 MATH PL PAU 49285 1% 29% 6

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 20743 2% 4% 17
2 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 14294 4% 1% 44
3 JOURNAL OF VIBRATION AND CONTROL 7408 2% 1% 25
4 JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS 6443 1% 2% 14
5 NONLINEAR DYNAMICS 6044 3% 1% 34
6 CENTRAL EUROPEAN JOURNAL OF PHYSICS 5256 1% 1% 15
7 ADVANCES IN DIFFERENCE EQUATIONS 4816 2% 1% 20
8 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 4312 3% 1% 28
9 COMPUTERS & MATHEMATICS WITH APPLICATIONS 2957 3% 0% 32
10 PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER 2349 1% 1% 15

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 FRACTIONAL EULER LAGRANGE EQUATIONS 599047 2% 83% 25 Search FRACTIONAL+EULER+LAGRANGE+EQUATIONS Search FRACTIONAL+EULER+LAGRANGE+EQUATIONS
2 FRACTIONAL OPTIMAL CONTROL 451316 2% 83% 19 Search FRACTIONAL+OPTIMAL+CONTROL Search FRACTIONAL+OPTIMAL+CONTROL
3 FRACTIONAL CALCULUS OF VARIATIONS 404360 1% 94% 15 Search FRACTIONAL+CALCULUS+OF+VARIATIONS Search FRACTIONAL+CALCULUS+OF+VARIATIONS
4 FRACTIONAL CALCULUS 362340 12% 9% 134 Search FRACTIONAL+CALCULUS Search FRACTIONAL+CALCULUS
5 FRACTIONAL VARIATIONAL PROBLEMS 359428 1% 83% 15 Search FRACTIONAL+VARIATIONAL+PROBLEMS Search FRACTIONAL+VARIATIONAL+PROBLEMS
6 DIAMOND OPERATOR 345056 1% 100% 12 Search DIAMOND+OPERATOR Search DIAMOND+OPERATOR
7 FRACTIONAL OPTIMAL CONTROL PROBLEM 331519 1% 82% 14 Search FRACTIONAL+OPTIMAL+CONTROL+PROBLEM Search FRACTIONAL+OPTIMAL+CONTROL+PROBLEM
8 NON INTEGER DIMENSIONAL SPACE 287546 1% 100% 10 Search NON+INTEGER+DIMENSIONAL+SPACE Search NON+INTEGER+DIMENSIONAL+SPACE
9 FRACTAL MEDIA 283110 1% 62% 16 Search FRACTAL+MEDIA Search FRACTAL+MEDIA
10 FRACTIONAL VARIATIONAL PRINCIPLES 230037 1% 100% 8 Search FRACTIONAL+VARIATIONAL+PRINCIPLES Search FRACTIONAL+VARIATIONAL+PRINCIPLES

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 12675 MODIFIED RIEMANN LIOUVILLE DERIVATIVE//LOCAL FRACTIONAL DERIVATIVE//FRACTIONAL COMPLEX TRANSFORM
2 1542 FRACTIONAL DIFFUSION EQUATION//ANOMALOUS DIFFUSION//FRACTIONAL DERIVATIVE
3 29279 EIGEN COORDINATES METHOD//PSEUDO PHASE PLANE//UISPA LAETA INEGI
4 12546 FRACTIONAL DERIVATIVE//FRACTIONAL DERIVATIVE DAMPING//FRACTIONAL DERIVATIVE CONSTITUTIVE RELATION
5 2996 FRACTIONAL DIFFERENTIAL EQUATIONS//FRACTIONAL DIFFERENTIAL INCLUSIONS//NONLINEAR DYNAM ANAL
6 10394 CONSERVED QUANTITY//MEI SYMMETRY//MATH MECH MATH PHYS
7 2571 FRACTIONAL ORDER SYSTEM//FRACTIONAL ORDER//FRACTIONAL ORDER CHAOTIC SYSTEM
8 12425 FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//INTEGRO DIFFERENTIAL OPERATORS
9 23647 MASLOVS METHOD//PEMC//PERFECT ELECTROMAGNETIC CONDUCTOR PEMC
10 8556 CHAOS SOLITONS & FRACTALS//PLICABLE MATH COMP SCI//SOLVAY

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